# Trigonometric Identities Teacher Resources

Find Trigonometric Identities lesson plans and worksheets
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Lesson Planet

#### Graphing Trig Functions

For Teachers 9th - 12th Standards
Going from simple trig functions to their graphs can seem like a daunting task. These resources show the steps to connect evaluating the functions to graphing them. The collection has a variety of resource types for you to explore.
EngageNY

#### EngageNY Algebra II Module 2: Trigonometric Functions

For Teachers 10th - 12th Standards
Building on young mathematicians prior knowledge of geometry and algebraic functions, this 17-lesson unit introduces the topic of trigonometric ratios. Starting with the basic definitions of sine, cosine, and tangent, students move on to...
12 Items in Collection
Lesson Planet

#### Getting into Trig

For Teachers 9th - 12th Standards
Starting with right triangles (SOH-CAH-TOA) and working up to the concept of radians, this collection introduces students to trigonometric ratios and supports them in learning to evaluate trigonometric functions.
38 Items in Collection
Lesson Planet

#### AP Calculus AB

For Students 11th - 12th
Prepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...
EngageNY

#### EngageNY Precalculus and Advanced Topics Curriculum

For Teachers 11th - 12th Standards
A 5-module complete precalculus course begins with young mathematicians exploring linearity, complex number operations as transformation, and the power of the right notation. Module 2 has pupils examining incidence relationships in...
EngageNY

#### EngageNY Precalculus and Advanced Topics Module 4: Trigonometry

For Teachers 11th - 12th Standards
Introduce advanced math students to the power of trigonometry! The 14 lessons in the Module 4 collection are divided into three topics: Trigonometric Functions, Trigonometry and Triangles, and Inverse Trigonometric Functions. Each lesson...
EngageNY

#### EngageNY Geometry Module 2: Similarity, Proof, and Trigonometry

For Teachers 9th - 12th Standards
The Geometry Module 2: Similarity, Proof, and Trigonometry collection includes 36 lessons that are divided into five topics: Scale Drawings, Dilations, Similarity and Dilations, Applying Similarity to Right Triangles, and Trigonometry....
19 Items in Collection
Lesson Planet

#### High School Math Handouts

For Teachers 8th - 12th Standards
A collection of different resources can augment any math curriculum. Sheets can be printed, posted on the wall, or emailed to students for use in the classroom.
Lesson Planet

#### WindWise Education Curriculum

For Teachers 6th - 12th Standards
Imagine a world powered by wind! The 19 lessons in a curriculum set provide young environmental scientists the information they need to imagine just that. The set begins with a lesson on the difference between forms of energy and...
4:09
Lesson Planet

#### Trigonometric Ratios with a Calculator: Lesson

For Students 9th - 12th Standards
Calculators ... they are more efficient than tables. Using two 30-60 right triangles, the segment of a playlist on geometry shows that trigonometric ratios for an angle are the same independent of the size of the triangle. The video...
Lesson Planet

#### Worksheet 9: Trig Functions

For Teachers 12th - Higher Ed
In this math worksheet, students are given 7 problems in which they write expressions for trig functions, compute limits and graph functions.
Lesson Planet

#### Inverse Trig Functions

For Students 10th - 11th
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
Lesson Planet

#### Trigonometric Ratios: A Geometer's Perspective

For Teachers 9th - 11th Standards
What do all right triangles have in common? Young mathematicians investigate the trigonometric ratios in relation to right triangles. Their investigations lead to a hypothesis they use to determine unknown lengths in different triangles.
Lesson Planet

#### Exact Trigonometric Ratios: Triangles to the Unit Circle

For Teachers 9th - 12th Standards
Special right triangles give special information. Individuals learn how to find trigonometric ratios in all quadrants. This involves using special right triangles and the Pythagorean Theorem.
1 In 1 Collection
EngageNY

#### Proving Trigonometric Identities

For Teachers 10th - 12th Standards
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
6:30
Lesson Planet

#### The Trigonometric Ratios: Lesson

For Students 9th - 12th Standards
SOH, what is this thing called trigonometric ratios? A section of an extensive playlist on geometry identifies the adjacent and opposite sides in relationship of an angle. Using the identified sides, the video defines the sine, cosine,...
4:01
Lesson Planet

#### Intro to Trigonometric Ratios

For Students 9th - 12th Standards
Finding trigonometric ratios is relatively easy; you just have to know where to look. The first installment of a 16-part video playlist shows how to find the sine, cosine, and tangent values for a given angle. It shows how to find the...
1 In 1 Collection
Lesson Planet

#### Trigonometric Identities and Laws

For Teachers 10th - 12th Standards
Your learners will appreciate this handy resource when they are working with various trigonometry problems. The most common trigonometric identities and laws are all typed on one page.
Lesson Planet

#### Discovering Trigonometric Ratios

For Teachers 9th - 12th Standards
Are there equivalent ratios in right triangles? The discovery lesson has the class find the ratios of sides of right triangles with equivalent angle measurements. Using these ratios, pupils discover that particular ones are the same,...
4:34
Lesson Planet

#### Inverse Trigonometric Ratios: Lesson

For Students 9th - 11th Standards
Finding the inverse of trigonometric ratios is not the same as finding the reciprocal. The presentation introduces how to find the angle of a right triangle given sides. Part of a larger playlist on geometry, the video uses the inverse...
Lesson Planet

#### Are You Pulling My Trig?

For Teachers 9th - 12th Standards
Build on students' knowledge about triangles with this introductory instructional activity on trigonometric ratios. After first exploring key terms in a scavenger hunt activity, students solve a series of guided and independent practice...
1 In 1 Collection
EngageNY

#### The Definition of Sine, Cosine, and Tangent

For Students 9th - 10th Standards
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar triangles.
Lesson Planet

#### 6.5 Skill Builder: Trigonometric Identities

For Students 9th - 12th
For this trigonometric identities worksheet, students solve 16 multi-part short answer problems. Students use the quotient identity and Pythagorean identity to simplify trigonometric expressions. Students factor trigonometric expressions.
Lesson Planet

#### Indirect Measurement Technique: Using Trigonometric Ratios

For Teachers 9th - 12th
Students explore the concept of trigonometric ratios.  In this trigonometric ratios instructional activity, students use trigonometric ratios and the angle of elevation/depression to determine the height of an object.  Students use their...
Lesson Planet

#### Section 8-6: Solving Problems Using Trigonometric Ratios

For Students 9th - 12th
In this trigonometric ratios worksheet, students solve 20 short answer and multiple choice problems.  Students use trigonometric ratios, the angle of depression, and angle of elevation to find missing side lengths of angles of a triangle.
8:35
Lesson Planet

#### Trig Identities Part 3 (Part 5 if you watch the proofs)

For Students 10th - 12th
Sal takes the mystery out of the trigonometric identities by showing how easily they can be derived. He continues with a problem he started in the video �Trig identities part three (part five if you watch the proofs) and proves the trig...
1 In 1 Collection
Lesson Planet

#### Right Triangle Trigonometry: Evaluating Trigonometric Ratios

For Students 10th - 12th
In this right triangle trigonometry worksheet, students use trigonometric ratios to determine the length of a missing side of a triangle or to find a specified angle measurement. This four-page worksheet contains 32 problems. Answers are...
Lesson Planet

#### Evaluating Trig equations and Solving Trig Identities

For Students 9th - Higher Ed
In this trigonometry worksheet, students match trig expressions to their exact value, evaluate trig equations, graph trig equations, and prove trig identities. There are 61 questions.
Lesson Planet

#### Trigonometric Function

For Students 10th
For this trigonometric function worksheet, 10th graders solve and complete 26 various types of problems. First, they use a calculator to find each value and each angle. Then, students state which trig function they used to find each...
Lesson Planet

#### Trig Functions of General Angles

For Students 11th
In this trigonometric functions worksheet, 11th graders solve and complete 19 various types of problems. First, they find the exact value of the six trig functions of the terminal side in standard position contains the given point. Then,...
Lesson Planet

#### Trig Functions

For Students 11th - 12th
In this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...
1 In 1 Collection
EngageNY

#### Basic Trigonometric Identities from Graphs

For Students 10th - 12th Standards
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their understanding...
9:04
Lesson Planet

#### The unit circle definition of trigonometric function

For Students 10th - 12th
In this video, Sal shows how the sine and cosine of an angle are defined on the unit circle. He inscribes a 30-60-90 triangle in the unit circle and explains how one can use SOH-CAH-TOA to find the coordinates on the circle.
Lesson Planet

#### Proof of Identity

For Teachers 9th - 12th Standards
High schoolers explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, high schoolers investigate the Pythagorean trigonometric identities and the...
Lesson Planet

#### Does Your Field Measure Up

For Teachers 9th - 11th
Young scholars measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
Lesson Planet

#### Basic Trigonometric Ratios

For Teachers 11th - 12th
For this trigonometric ratio worksheet, students determine the length of a side of a right triangle, or the measurement of angles using trigonometric ratios. This one-page worksheet contains 24 problems. Answers are provided at the...
6:09
Lesson Planet

#### Trigonometric Ratios: Sine

For Students 10th - 12th Standards
What happens when you don't have enough information to use the Pythagorean Theorem? Time for some trig! The second lesson in a series of four introduces the definition of sine, teaches how to find the sine ratio of a right triangle, and...
Lesson Planet

#### Review Quiz before Mini-Exam

For Students 9th - 12th
In this pre-calculus review worksheet, high schoolers solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded...
5:38
Lesson Planet

#### Chain Rule for Derivatives, with Trig Functions

For Students 11th - Higher Ed
Break the chain in finding derivatives of trigonometric functions. The short video provides a demonstration of finding the derivative of a trigonometric function where the argument is a function. The 12th video in a series of 31 focuses...
Lesson Planet

#### Differentiation Quiz

For Teachers 11th - 12th
In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
1 In 1 Collection 9:17
Lesson Planet

#### Intro to the Trigonometric Ratios

For Students 11th - Higher Ed
This video introduces the basics of trigonometry. It starts by defining a right triangle and showing two different examples of finding the ratios of sine, cosine, and tangent using the SOH-CAH-TOA mnemonic. This resource could be used as...
Lesson Planet

#### "I Saw the Sine"

For Teachers 9th - 12th Standards
Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.
Lesson Planet

#### Worksheet #2: Trigonometric Ratios

For Students 9th - 12th
In this trigonometric ratios worksheet, students use trigonometric ratios to complete indirect measurement word problems.  This three-page worksheet contains 3 problems.
Lesson Planet

#### Connect The Dots Trig. Identities

For Students 10th - 11th
In this trig. identities worksheet, students connect the dots to equivalent values.  Then students find the isosceles right triangle formed.  Solutions are provided.
Lesson Planet

#### Finding Trigonometric Ratios

For Students 11th
In this finding trigonometric ratios worksheet, 11th graders solve and complete 22 various types of problems. First, they find the value of each trigonometric ratio to the nearest ten-thousandth. Then, students use a calculator to find...
Lesson Planet

#### Trigonometric Identities

For Students 11th - Higher Ed
In this trigonometry worksheet, students derive the 6 different trigonometric identities. They use the identities to solve problems by multiplication of trig ratios. There are 102 trig questions to be solved.
Lesson Planet

#### Trigonometric Ratios

For Students 10th
For this trigonometric ratios worksheet, 10th graders solve 9 different problems that include determining the trigonometric ratios of each triangle. First, they determine the sides and angles of a right triangle that is shown in each...
Lesson Planet

#### Trig Identities

For Students 12th - Higher Ed
In this trig identities worksheet, students solve and complete 25 various types of problems. First, they assume that sine and cosine are given as stated. Then, students express the stated quantities in terms of a and b for each problem...
Lesson Planet

#### Trigonometric Ratios

For Students 9th - 10th
In this trigonometric ratios worksheet, students find the sine, cosine and tangent of given triangles. Students determine the angle measurement or length of one side of a triangle. This two-page worksheet contains 43 problems. Each page...
Lesson Planet

#### Trigonometric Ratios

For Students 11th
For this trigonometric ratios worksheet, 11th graders solve and complete 15 different types of problems. First, they use the unit circle to sketch the line through an angle with a given measure. Then, students find the coordinates of a...
Lesson Planet

#### Trigonometric Ratios and the Pythagorean Theorem

For Students 9th - 12th Standards
Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...
1 In 1 Collection 4:37
Lesson Planet

#### Trigonometric Integrals

For Students 11th - Higher Ed
Present examples of trigonometric integrals with a video that shows an example of determining a trigonometric integral. The AP Calculus example shows that many of the trigonometric integrals require manipulation and using trigonometric...
4:37
Lesson Planet

#### SOHCAHTOA - Finding Missing Sides Part 1

For Students 9th - 12th Standards
Explore the meaning and application of the three trigonometric ratios. A thorough video reviews the trig ratios and then shows how to apply them in triangle problems. The instructor demonstrates several examples finding both side and...
2:22
Lesson Planet

#### Introduction to SOHCAHTOA

For Students 9th - 12th Standards
You might not be able to pronounce it, but everyone remembers SOHCAHTOA. Young mathematicians learn a way to remember the three major trigonometric ratios. They see how the first letters of certain words lead to the mnemonic.
Lesson Planet

#### The Cosine Ratio

For Students 9th - 12th Standards
Help your classes understand the relationship between trigonometric ratios and similarity. A set of questions ask scholars to consider the ratio of sides of similar figures. They conclude that all similar triangles must have the same...
Lesson Planet

#### Trigonometric Ratios

For Students 10th - 12th
In this trigonometric ratios worksheet, students determine the value of trigonometric ratios.  They find the area of triangles, determine the length of one side, and compute the degrees in an angle.  This five-page worksheet contains 55...
Lesson Planet

#### Circular Trigonometric Functions

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page worksheet contains twenty-four problems. Answers are...
Lesson Planet

#### Trigonometric Function

For Students 11th
In this trigonometric functions worksheet, 11th graders solve and complete 6 various types of problems. First, they express each of the expressions in trigonometric form. Then, students use DeMoivre's Theorem to express each of the...
8:38
Lesson Planet

#### What are the Trigonometric Reciprocal Identities?

For Teachers 8th - 11th
By using the trigonometric ratios in a right triangle, the instructor derives definitions for cosecant, secant, and cotangent.
4:50
Lesson Planet

#### Limits of Trig Functions: Everything You Need to Know!

For Students 11th - Higher Ed
Discover how to find limits of trigonometric functions. Viewers learn a strategy to calculate limits of trigonometric functions. They see how an expression can be rewritten to one whose limits are already known.
3:16
Lesson Planet

#### Decoding Basic Trigonometric Ratios

For Students 9th - 12th Standards
Demonstrate the calculator keystrokes necessary for finding a measure of an angle using trigonometry. A straight forward lesson explains how to calculate an angle measure given a sine, cosine, or tangent ratio. The narrator discusses...
2 In 2 Collections
Lesson Planet

#### Trig Cheat Sheet

For Teachers 10th - 12th Standards
Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...
10:01
Lesson Planet

#### Fun Trig Problem

For Students 11th - Higher Ed
If solving trigonometric equations is your idea of fun, then this video is correctly titled. Here Sal uses trigonometric identities, the quadratic formula, and inverse trigonometric functions to solve a trigonometric equation sent in by...
12:12
Lesson Planet

#### Basic Trigonometry ll

For Students 10th - 12th
Sal continues with examples of finding the sine, cosine, and tangent of an angle in a right triangle using SOH-CAH-TOA. In his examples, he reviews the use of the Pythagorean Theorem and rationalizing the denominator of a fraction. He...
10:01
Lesson Planet

#### Fun Trig Problem

For Students 10th - 12th
If solving trigonometric equations is your idea of fun, then this video is correctly titled. Here Sal uses trigonometric identities, the quadratic formula, and inverse trigonometric functions to solve a trigonometric equation sent in by...
Lesson Planet

#### Verifying Trigonometric Identities

For Students 10th - 12th Standards
This quality, short, worksheet provides practice verifying trigonometric identities and completing the included blank unit circle. Learners will also find the exact value of various trigonometric functions given other trigonometric...
Lesson Planet

#### Similar Parts Investigation

For Teachers 9th - 11th Standards
How tall is that flagpole? Your pupils might want to stand on each other's shoulders to answer this, but this activity is all about using the math knowledge they already possess. Using right triangle trigonometric ratios (SOH CAH TOA)...
Lesson Planet

#### How Tall is It?

For Teachers 9th - 11th Standards
Your collaborative geometry learners use trigonometric ratios and a clinometer that they assemble themselves to indirectly measure the height of a flag pole and other objects. Then they create a presentation to explain the process they...
Lesson Planet

#### Surveying the Ancient World

For Teachers 9th - 12th Standards
Astrolabes have been used by explorers and astronomers throughout the ages. But how exactly do they work and what can a young mathematician do with one today? Students will build a simple version of this tool and then using the altitude,...
3:56
Lesson Planet

#### Inverse Trig Functions: Arccos

For Students 10th - Higher Ed Standards
In the third video on inverse trigonometric functions, Sal follows a format similar to the last two. He finds the value for the arcos (-1/2) and shows the restricted domain of the arccos function. He also finds the value for cos(arccos...
3:56
Lesson Planet

#### Inverse Trig Functions: Arcsin

For Students 10th - Higher Ed Standards
Sal defines the concept of inverse trigonometric functions and completes two examples of arcsin. Specifically, he finds the value of the arcsin (sqroot2/2) and arcsin (sqroot3/2). He also talks about the restricted domain of arcsin...
3:56
Lesson Planet

#### Inverse Trig Functions: Arctan

For Students 10th - Higher Ed Standards
Continuing with inverse trigonometric functions, Sal finds the value for tan^-1-1. He also shows the restricted domain of the arctan function.
Lesson Planet

#### Applications of Trigonometric Functions

For Teachers 10th - 12th Standards
Using trigonometric ratios to solve geometry and application problems is the focus of this detailed problem set and solution presentation. The presentation covers many ways to use trigonometry, from finding missing measures in right...
2 In 2 Collections
Lesson Planet

#### Trigonometry Review Sheet

For Students 9th - 12th Standards
Get the trig facts fast, and use the review sheet as a guide in the classroom. The worksheet also includes a document version if any changes are needed to the problems. The information includes a small degree/radian chart, a graph of all...
9:56
Lesson Planet

#### Trig Identities Part 2 (Part 4 if you watch the proofs)

For Students 10th - 12th
In this video, Sal reviews the basic trigonometric definitions and identities including the sum of angles formulas and then derives the double angle formulas.
Lesson Planet

#### Trig Transformations

For Teachers 9th - 12th Standards
Learners investigate trigonometric function.  In this Algebra II lesson, young scholars explore functional notation and transformational graphing of trigonometric functions.
Lesson Planet

#### Investigating Trigonometric Ratios Through Similar Right Triangles

For Teachers 9th - 10th
Students identify similar and congruent right triangles. In this geometry instructional activity, students use trigonometric ratios to identify missing sides and angles of a triangle. They differentiate similar and congruent triangles.
Lesson Planet

#### Discovering Inverse Trig Functions

For Students 11th - 12th
In this trigonometry worksheet, learners use a graphing calculator to graph trig functions and their inverses.  The one page worksheet contains three questions.   Answers are not provided.
Lesson Planet

#### Trig Ratios

For Teachers 9th - 10th Standards
Students derive the six trigonometric ratios. In this trigonometry lesson, students use trigonometric properties to find the missing angles of triangles.
Lesson Planet

#### Ratios in Right Triangles

For Teachers 9th - 12th Standards
Learners calculate the sides of right triangles in this trigonometric ratios lesson. They use Cabri Jr. software and TI-83 or TI-84 calculators to find the side lengths and their ratios to each other for various triangles. The provided...
Lesson Planet

#### Exploring Trigonometric Ratios

For Teachers 9th - 10th
Learners identify the ratios of trig functions. In this trigonometry lesson plan, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
Lesson Planet

#### Inverse Trig Functions

For Students 11th - Higher Ed
In this inverse trig functions worksheet, students solve and complete 8 different types of problems. First, they find the derivatives of each inverse trig function shown. Then, students find the arc degree of each function.
Lesson Planet

#### Inverse Trig Functions: Domain and Range

For Students 9th - Higher Ed
In this trigonometric functions worksheet, students calculate the domain and range of the three basic trig functions. There are 6 equations.
Lesson Planet

#### Module 7: Trigonometric Functions, Equations, and Identities

For Students 10th - 12th Standards
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
Lesson Planet

#### Trig Tour

For Students 9th - 12th Standards
Unit circles and trigonometric graphs go hand in hand. Pupils see how traversing the unit circle allows for the creation of graphs for trigonometric functions. They also see trigonometric ratios in terms of the ordered pairs of points on...
Lesson Planet

#### The Trigonometric Functions

For Students 9th - 12th Standards
This extensive chapter gives learners a new angle on that old geometry favorite, trigonometry. From the unit circle to right triangles, the role of trigonometric ratios is explored through explanation of theory and working application...
Lesson Planet

#### Are You Pulling My Trig?

For Teachers 9th - 12th Standards
Introduces the three main trigonometric ratios to your class. Pupils use a calculator to determine the sine, cosine, and tangent of given angles and side ratios. They continue on to use the ratios to solve problems.
1 In 1 Collection
Lesson Planet

#### Similarity and Right Triangle Trigonometry

For Teachers 10th - 12th Standards
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
1 In 1 Collection
EngageNY

#### Trigonometry and the Pythagorean Theorem

For Students 9th - 11th Standards
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
Lesson Planet

#### Hopewell Geometry

For Teachers 9th - 12th Standards
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Lesson Planet

#### ADA Accessibility

For Teachers 11th - 12th Standards
Ramp up using trigonometric ratios. After receiving a request to check school ramps to verify they meet ADA requirements, groups calculate the angle of the incline on ramps on campus. They report their findings via a letter to the...
1 In 1 Collection
EngageNY

#### Unknown Angles

For Students 9th - 10th Standards
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include basic...
Lesson Planet

#### Special Right Triangles and Right Triangle Trigonometry

For Teachers 9th - 11th Standards
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
Lesson Planet

#### Smarter Balanced Sample Items: High School Math – Target O

For Students 10th - 12th Standards
Trigger an increased understanding of trigonometry. Young mathematicians answer a set of questions that require finding trigonometric ratios using similarity and solving real-world problems involving trigonometry. The questions all come...
Lesson Planet

#### Exercise Set 5.1: Trigonometric Functions of Real Numbers

For Teachers 10th - 12th
In this trig functions worksheet, students find the trig values of 46 problems.  Students find the trig values of various radian measures.  Students use trig properties to prove trig identities.
Lesson Planet

#### Trigonometric Identities

For Teachers 10th - 11th
Students calculate the six trigonometric identities. In this algebra lesson, students verify other identities using the basic trigonometric identities of sine, cosine and tangent. They complete a worksheet with hints and then are graded...
Lesson Planet

#### Trig Derivatives

For Students 10th - 12th
In this trig derivatives learning exercise, students find the derivative of a given trigonometric function. This one-page learning exercise contains 16 multi-step problems.
Lesson Planet

#### Derivatives of the 6 Inverse Trig Functions

For Teachers 11th - 12th
Student list the 6 trig functions and identify their inverse functions. In this trigonometry lesson, young scholars derive the inverse trig functions using the derivative. They solve problems using the inverse functions through...
Lesson Planet

#### Graphing Trig Functions

For Students 9th - 11th
In this graphing trig functions worksheet, students find the amplitude of each function. They graph the function. This four-page worksheet contains 12 problems. Answers are provided on the last two pages.
Lesson Planet

#### Graphing Trig Functions

For Students 11th - 12th
For this trig worksheet, students graph the six trig functions and identify the period of each function. There are 4 questions.
Lesson Planet

#### Trig Cut Ups

For Students 9th - 11th
In this trigonometry worksheet, students rearrange 16 squares to a form one large square in which all of the trig identities match up. There is an answer key.
Lesson Planet

#### Review of Trig Ratios

For Students 11th - Higher Ed
In this trigonometric ratios worksheet, learners solve and complete 10 various types of problems. First, they write the degrees listed in radian measure. Then, students find the exact ratios for each equation. They also find the value of...
Lesson Planet

#### Trigonometric Graphs

For Students 11th
In this trigonometric graphs worksheet, 11th graders solve and complete 16 different problems. First, they determine the period of the given functions. Then, students describe the period, amplitude, and vertical shift of each function....
Lesson Planet

#### Functions, Domains and Composites

For Students 11th - 12th
In this functions, domains and composites instructional activity, students solve and complete 23 various types of problems. First, they graph the given trigonometric function on a coordinate plane. Then, students label three points on...
Lesson Planet

#### Fundamental Trigonometric Identities: Tangent Identity

For Students 10th - 12th
An identity that thieves can't steal  the tangent identity. Scholars manipulate ratios to investigate the tangent ratio and connect it to the sine and cosine ratios. An interactive that uses color coding helps with this task.
Lesson Planet

#### Trig Card Game (Review of Trig Identities)

For Students 9th - 11th
In this trig card game, students play a card game to form and identify trigonometric identities.  Students collect cards to form identities.  This one-page worksheet contains instructions for making cards and the rules of the game. ...
Lesson Planet

#### Finding Derivatives of Twenty Trig Functions

For Students 12th - Higher Ed
In this derivatives activity, students take the derivative of fifty various trigonometric functions.  These fifty problems vary in difficulty.
Lesson Planet

#### Special Values of Trig Functions

For Students 9th - 11th
In this trig functions worksheet, students complete a chart to find the special values of trig functions. This one-page worksheet contains 58 problems.
Lesson Planet

#### Section 5.2 Worksheet: Trig Functions

For Students 10th - Higher Ed
In this trig function learning exercise, students find the values of six trig functions for the given angle. They determine the exact values of the legs of right triangles. Students use the Pythagorean identities to write expressions...
Lesson Planet

#### Practice B: Trigonometric Ratios

For Students 9th - 10th
In this trigonometric ratios worksheet, students use trigonometric ratios to determine the length of one side of a triangle or the angle measurement of right triangles. They draw vectors in a coordinate plane. This three-page worksheet...
Lesson Planet

#### Trigonometric Identities

For Students 10th - 11th
In this trigonometric worksheet, students solve problems using the 6 trigonometric ratios. They solve problems using the properties of a right triangle. There are 11 questions with an answer key.
Lesson Planet

#### Derivatives of the Trig Functions

For Teachers 12th
Twelfth graders analyze the derivatives and use trig functions to practice using the derivative. In this calculus lesson, 12th graders derive the 6 trigonometric functions using the derivative and their properties. They complete practice...
Lesson Planet

#### Integration Involving Inverse Trig Functions

For Teachers 12th - Higher Ed
Students review the steps for integration and solve equations using integration by parts. In this calculus instructional activity, students apply their knowledge of integration to inverse trig function. Students review their trig and...
Lesson Planet

#### Solving Trig Functions

For Teachers 11th - 12th
Students compare trigonometric functions and range them by value. For this calculus lesson, students solve triangular angles using the rules of sine and cosine. They apply their basic trig identities to solve these problems.
Lesson Planet

#### Trigonometric Functions: The Unit Circle

For Teachers 10th - 12th Standards
This comprehensive problem and note set walks the class through a large part of simplifying trigonometric expressions using the unit circle and identities. From identifying angles to applying appropriate trigonometric ratios, problems...
2 In 2 Collections
EngageNY

#### Properties of Trigonometric Functions

For Teachers 11th - 12th Standards
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...
Lesson Planet

#### Reciprocal Identities

For Students 10th - 12th Standards
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
Lesson Planet

#### Right Triangles Trigonometry

For Teachers 9th - 12th
The class uses the computers to access GeoGebra Dynamic Worksheets to learn the basics about vectors. They will look at graphs and make computations to problem solve to find coordinates of vectors.
4:07
Lesson Planet

#### Exact Trig Values - Hand Trick

For Students 9th - 12th Standards
Having trouble remembering the trigonometric ratios of the common angles? Here's a video for you! The lesson instructor demonstrates a hand trick that helps individuals determine the correct trigonometric ratios. The trick works for...
Lesson Planet

#### Basic Trigonometric Functions: Ladder Length

For Students 9th - 12th Standards
Climb the ladder to trigonometry. The interactive introduces trigonometric ratios and finding lengths of sides of right triangles created by a ladder and a building. Learners use the interactive to create triangles by moving the top of...
Lesson Planet

#### Pythagorean Theorem for Solving Right Triangles: Solving the Triangle

For Students 9th - 12th Standards
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
Lesson Planet

#### Finding the Area of an Equilateral Triangle

For Teachers 9th - 11th Standards
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
1 In 1 Collection
EngageNY

#### Incredibly Useful Ratios

For Students 9th - 10th Standards
Start the exploration of trigonometry off right! Pupils build on their understanding of similarity in this lesson plan that introduces the three trigonometric ratios. They first learn to identify opposite and adjacent...
1 In 1 Collection
EngageNY

#### End-of-Module Assessment Task - Geometry (module 2)

For Students 9th - 10th Standards
Increase the level of assessment rigor with the test of performance tasks. Topics include similar triangles, trigonometric ratios, Law of Sines, Law of Cosines, and trigonometric problem solving.
1 In 1 Collection
EngageNY

#### Algebra II Module 2: Mid-Module Assessment

For Students 10th - 12th Standards
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
2:56
Lesson Planet

#### Trigonometry Word Problems: Lesson

For Students 9th - 11th Standards
Look up or down to find the answer.  A segment of an extensive playlist on geometry introduces angle of depression and elevation to find indirect measurements. Using trigonometric ratios, the presentation finds missing sides and angles...
Lesson Planet

#### Introduction to Trigonometry

For Teachers 9th - 12th Standards
The topic of trigonometric ratios is often covered with loads of rote memorization baked into the activity. This activity set, however, leans more on using similar triangles and discovery learning to help young geometers develop a deeper...
Lesson Planet

#### Washington Monument

For Students 9th - 12th Standards
Look up, up, up to the top. Using their knowledge of trigonometric ratios, pupils determine the angle of elevation in a real-world situation. Learners calculate the angle of elevation from the base of the flags around the Washington...
Lesson Planet

#### How Tall Is It?

For Teachers 9th - 12th Standards
Find the height from afar. Teams role play as summer interns to find the height of a set of windows from the outside. Scholars must first determine how to find the height with the available tools. After determining a strategy involving...
Lesson Planet

#### The Pythagorean Theorem

For Students 8th - 11th Standards
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
Lesson Planet

#### Length of a Chord: Distance Across a Ferris Wheel

For Students 9th - 12th Standards
An interactive presents two friends on a ferris wheel with the task of finding the distance between the them. Pupils create the chord between the two friends and calculate its lengths using trigonometric ratios.
3:04
Lesson Planet

#### Introduction to SOHCAHTOA

For Students 9th - 12th Standards
Explore right triangle trigonometry with a thorough video lesson. The lesson instructor introduces the trigonometric ratios with an examination of right triangle sides and angles. She continues with practice writing the ratios using...
Lesson Planet

#### Patterns in the 30-60-90 Table

For Students 9th - 12th Standards
Sine and cosine ratios have more in common than just their names—they are complementary to each other. Using a 30-60-90 triangle, pupils create a table of the sine and cosine of the acute angles. The learners describe the relationships...
8:01
Lesson Planet

#### Trigonometry – Missing Sides

For Students 10th - 12th Standards
If it's missing, then find it. Young mathematicians watch a video that explains how to solve for a missing side of a right triangle. They then complete a worksheet on the topic. The use of trigonometric ratios is expected here.
Lesson Planet

#### How to Build a Happy Home

For Students 9th - 12th Standards
Build a complete house in just a few days. Learners create floor, roof, deck, and landscape plans for a two-story house. Scholars then use their knowledge of area formulas, trigonometric ratios, and the Pythagorean Theorem to determine...
Lesson Planet

#### Right Triangle Applications: Lessons 1 and 2

For Students 9th - 12th Standards
Use right triangles for more than just mathematical problems. The first two lessons of a unit ask pupils determine distances between cities by using the Pythagorean Theorem and a map. To cement understanding, learners use trigonometric...
Lesson Planet

#### Indirect Measurement Technique: Using Trigonometric Ratios

For Teachers 9th
Ninth graders create clinometers using a protractor, weight, and string. They work in pairs to practice sighting objects above or below their line of sight. Students use ratios of right triangles to determine the height of a...
Lesson Planet

#### Trig functions and Triangles

For Teachers 7th - 9th
Here is a basic plan for the beginning teacher to use for introducing the class to the right triangle trigonometric functions. It outlines the lesson plan objectives, class procedures, and basic instructional techniques that could be used.
19:07
Lesson Planet

#### Derivatives of Trig Functions

For Students 11th - Higher Ed
What are the most important things about trigonometric derivatives? The 13th video in a series of 31 highlights three important aspects of trigonometric derivatives, the first being the derivatives of sine and cosine. The second is the...
Lesson Planet

#### Round and Round We Go

For Teachers 11th - 12th
Connect the dots on trigonometry with K'nex. Scholars use a K'nex model of a Ferris wheel to collect data points to plot on a height versus time graph. They'll then consider what type of function best models the data in the graph—and...
5:05
Lesson Planet

#### Derivatives of Inverse Trig Functions - Arcsin

For Students 11th - Higher Ed
Put another link in the chain. With the aid of the chain rule, the presentation shows how to take the derivative of an arcsin function with a binomial argument. The 15th video in a 31-part series goes on to work through the...
4:23
Lesson Planet

#### Derivatives of Inverse Trig Functions - Arccot

For Students 11th - Higher Ed
Get two functions for the cost of one. The short video is the 16th in a series of 31 video on calculus topics. The presenter works through finding the derivative of a function involving two arccot functions. One of the functions requires...
Lesson Planet

#### Differentiation Quiz Form B

For Teachers 11th - Higher Ed
In this differentiation worksheet, students differentiate 10 functions in short answer format. Students differentiate trig, logarithmic, cubic, exponential, rational, and higher order functions.
Lesson Planet

#### Trigonometry Chapter 2 Test

For Students 10th - 12th
For this trigonometry test, students use trigonometric ratios to solve problems. They find the exact trigonometric function value, solve right triangle problems, and real-life application problems. This two-page worksheet contains 30...
Lesson Planet

#### Trig is SOH Easy!

For Teachers 7th - 10th
Students derive the six trigonometric identities. In this trigonometry lesson plan, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent...
Lesson Planet

#### Amazing Consistent Ratios

For Teachers 10th - 12th
Learners derive the six trigonometric ratios. In this algebra lesson, students apply the properties of trigonometric functions to solve problems in the real world. They use the robot to analyze and relate its behavior to that of a right...
Lesson Planet

#### Primary Trig Ratios

For Students 9th - 12th
In this geometry worksheet, students measure the angles of right triangles using the primary trigonometric ratios. There are 10 questions with multiple parts.
Lesson Planet

#### Solving Right Triangles Using Trigonometry

For Teachers 9th - 12th
High schoolers examine and discuss techniques using trigonometric ratios for right triangles. They observe examples of trigonometric ratios, discuss alternative methods for checking their results, and complete a worksheet.
12:52
Lesson Planet

#### Parametric Equations 3

For Students 10th - 12th
Following his intuitive manner, Sal considers another set of parametric equations. This time, he looks at two equations using trigonometric functions and using one of the basic trigonometric identities, removes the parameter from the...
Lesson Planet

#### Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
Lesson Planet

#### Inverse Trig Functions

For Teachers 9th - 12th Standards
High schoolers solve problems using trig identities. In this trigonometry lesson, students evaluate inverse trig functions and relate it to the unit circle and determine the domain and range of the inverse trigonometric functions
Lesson Planet

#### Trigonometric Expressions and Identities

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students use the trigonometric identities to factor and simplify trigonometric expressions.  Students use algebra to prove various trigonometric identities.   The three page worksheet...
Lesson Planet

#### Translations and Reflections in Trig Graphs

For Teachers 8th - 10th
Students identify the tirgonometric ratios and their identities. For this trigonometry lesson, students graph trig functions and use reflection and translations to move the graph around. They relate science and technology to the concept...
Lesson Planet

#### Trigonometry Review

For Students 11th - 12th
In this trigonometry worksheet, students solve trigonometric equations, prove trigonometric identities, and graph trigonometric functions. The four page worksheet contains sixteen questions. Answers are not included.
Lesson Planet

#### Trigonometric Functions

For Students 10th - 12th
In this trigonometric functions worksheet, students graph a given trigonometric function.  This one-page worksheet contains 1 problem.  Graph paper is included.
Lesson Planet

#### Complimentary Angles

For Students 11th
In this complimentary angles worksheet, 11th graders solve and complete 12 various types of problems. First, they express as a co-function of a complimentary angle. Then, students find the exact values using the sum and differences...
Lesson Planet

#### 13-7 Skills Practice: Inverse Trigonometric Functions

For Students 10th - 12th
In this inverse trigonometric function worksheet, students write the inverse of a function. They solve inverse functions and write angle measures in radians. This one-page worksheet contains 24 problems.
Lesson Planet

#### Who Turns Out the Lights on Halloween? What Did One Mind Reader Say to the Other Min

For Students 8th - 11th
In these right triangles worksheets, students use trigonometric ratios to solve 39 triangle problems. Three of the problems are word problems. Students use their answers to answer riddles.
Lesson Planet

#### Integrated Algebra: State Exam

For Teachers 10th - 12th
For this integrated algebra worksheet, students solve problems related to topics covered in algebra for the entire year.  Topics include, but are not limited to, inequalities, probability, functions, interval notation, exploring graphs,...
Lesson Planet

#### How Tall Am I?

For Teachers 9th - 11th Standards
Which method results in a better estimate of the height? Using  different methods, groups estimate the height of three objects on campus. They record their measurements and any necessary computations and compare them to the actual...
Lesson Planet

#### Similar Right Triangles and Trig Ratios

For Students 9th - 11th Standards
Is it possible to be the same yet different? Absolutely! The activity asks learners to explore the relationships between side ratios of triangles they have drawn. Because individuals all draw a triangle with the same angle measures, they...
1 In 1 Collection
EngageNY

#### Graphing the Tangent Function

For Students 10th - 12th Standards
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
Lesson Planet

#### Section 5.3 Worksheet: Trig Functions

For Students 11th - Higher Ed
For this trig functions worksheet, students find the exact values of intervals that satisfy an equation. They graph trig functions and use a formula for negatives to find the exact value. This two-page worksheet contains 13 multi-step...
Lesson Planet

#### Solving Problems Using Trigonometric Ratios and the Pythagorean Theroem

For Students 10th
In this geometry worksheet, 10th graders use right triangle trigonometry and the Pythagorean Theorem to solve application problems.  The six page worksheet contains multi-part questions.   Answers are not included.
Lesson Planet

#### Magic Square Trig Identities

For Students 12th
In this trig worksheet, 12th graders review their trig identities using a table. They answer questions 1-16 as given clues to find the answer to the correct identity.
Lesson Planet

#### Trig Identities and Antiderivatives

For Students 11th - Higher Ed
In this math worksheet, students investigate the use of the trigonometric identities and the antiderivatives. They are asked to memorize the identities.
Lesson Planet

#### Unit Circle & Trig Functions

For Students 10th - 12th
In this trig functions worksheet, students determine the exact value of given trigonometric functions. They label degrees, radians and coordinates of given points on a circle. This two-page worksheet contains approximately 20 multi-step...
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#### Limits of Trig Functions

For Students 9th - 11th
In this trigonometry learning exercise, students solve 14 problems with trig functions by calculating and solving for the limit.
Lesson Planet

#### Differentiation Rules Math 21A and Trig Identities

For Students 11th - Higher Ed
In this math worksheet, students practice solving the problems using the listed differentiation rules and trigonometric identities.
Lesson Planet

#### Trigonometric Identities

For Teachers 10th - 11th
Investigate the properties of a Unit Circle, wahoo! Your class will memorize the basic identities of sine, cosine, and tangent. Then those smart cookies can investigate the negative of an angle measure using sine and cosine. Included are...
4:38
Lesson Planet

#### What is the Secant Ratio?

For Teachers 8th - 11th
Using the right triangle ratio definition of cosine, this video defines the secant ratio.
Lesson Planet

#### Graphs of the OTHER Trig Functions

For Teachers 10th - 11th
Students graph trigonometric functions. For this precalculus lesson, students identify the properties of secant ,cosecant and cotangent. They use the unit circle as their formula to graph and analyze these functions.
Lesson Planet

#### Trigonometric Functions

For Students 11th - 12th
In this trigonometric functions instructional activity, students solve and complete 35 various type of problems. First, they find the values for all six trig functions that pass through the given points. Then, students prove different...
Lesson Planet

#### Trig Ratios of General Angles

For Students 10th - 12th
In this trig ratios activity, students determine the angle measurement of trigonometric ratios. They find the value of trigonometric function. This approximately four-page activity contains 24 problems. Answers are provided on the last...
Lesson Planet

#### Trigonometry Ratios

For Teachers 9th - 12th Standards
Students identify the different angles and sides of a triangle. In this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
Lesson Planet

#### When is Tangent, tangent?

For Teachers 9th - 12th
Students study the concept of tangent of a unit circle. In this unit circle lesson, students explore the mathematical history of the trigonometric ration, tangent, through an interactive date-gathering construction that simulates an...
Lesson Planet

#### Applied Trigonometry Problems

For Students 9th - 12th
For this applied trigonometry problems worksheet, students solve 12 short answer word problems. Students use trigonometric ratios to find angles of elevation and depression. Students find distances between objects using trigonometric...
12:49
Lesson Planet

#### IIT JEE Trigonometry Constraints

For Students 11th - Higher Ed
Sal solves a challenging trigonometric problem for finding the number of values of _ that satisfy a number of constraints over a given interval. He shows a clear step-by-step solution and uses some trigonometric identities that he derives.
3:56
Lesson Planet

#### Law of Cosines

For Students 11th - Higher Ed
Sal derives the Law of Cosines using a method similar to the wayward ship captain word problem he solves in another video. This video provides a good review of using the SOH-CAH-TOA model, the Pythagorean Theorem, some of the basic trig...
Lesson Planet

#### Trigonometric Ratios

For Students 10th - 12th
In this trigonometric ratio worksheet, students find the length of legs on a right triangle and determine the value of specified angles in a triangle. Notes and explanations are given prior to the exercises. This three-page worksheet...
Lesson Planet

#### Powers of Trig Functions

For Teachers 10th - 11th
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
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#### Inverse Trig Functions: Chain Rule

For Students 9th - Higher Ed
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
Lesson Planet

#### Trigonometry

For Teachers 9th - 12th Standards
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
Lesson Planet

#### From Tan to Ten

For Students 10th - 12th Standards
Combine simplifying trigonometric expressions with evaluating them! An open-ended question presents a trigonometric expression and numeric values for additional expressions. Learners must determine a value for the original expression by...
Lesson Planet

#### Right Triangle Trigonometry

For Teachers 10th - 12th Standards
Practice manipulating trigonometric functions, cofunctions, inverses, and applications is the name of the game in this short but extensive problem set. Starting with the Pythagorean Theorem and basic applications, then progressing...
Lesson Planet

#### Trigonometric Functions

For Teachers 9th - 12th Standards
From a circle to a cycle! The final instructional activity of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions....
Lesson Planet

#### Derivatives of Trigonometric Functions: Derivative of sin(x)

For Students 11th - Higher Ed
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
Lesson Planet

#### The Robotic Arm

For Teachers 10th - 12th Standards
Working as teams, class members try to rescue an astronaut using the shuttle arm on a TI-Nspire simulation. Teams must determine the different angle measures in order to reach the stranded astronaut.
1 In 1 Collection
Lesson Planet

#### Basic Trigonometry and Radians

For Teachers 9th - 12th Standards
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
Lesson Planet

#### Secant, Cosecant, and Cotangent Functions: Hold the Ladder!

For Students 9th - 12th Standards
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
1 In 1 Collection
Lesson Planet

#### Eratosthenes and the Circumference of the Earth

For Teachers 9th - 12th Standards
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
1 In 1 Collection
EngageNY

#### Solving Problems Using Sine and Cosine

For Students 9th - 10th Standards
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles. When...
Lesson Planet

#### Launch Altitude Tracker

For Teachers 4th - 12th Standards
Using PVC pipe and aquarium tubing, build an altitude tracker. Pupils then use the altitude tracker, along with a tangent table, to calculate the altitude of a launched rocket using the included data collection sheet.
Lesson Planet

#### Lighthouse Keeper

For Students 9th - 12th Standards
Shine a light on the distance between two boats. The short assessment provides the angle of depression from a lighthouse to two boats. The learners represent the situation with a diagram and calculate the distance between the two boats.
Lesson Planet

#### Sine and Cosine

For Students 9th - 12th Standards
What is the complementary relationship between sine and cosine? Using a right triangle, pupils explain why the sine of one acute angle is equal to the cosine of the other. The triangle measurements are given as variables.
3:17
Lesson Planet

#### Trigonometry Introduction

For Students 10th - 12th Standards
Don't go off on a tangent. An instructive video describes how to find the sine, cosine, and tangent ratios of an angle in a right angle. It describes how to label the sides of a right triangle and how to use mnemonics to remember the...
Lesson Planet

#### Trigonometry: Labeling, Formulas, Solving

For Students 11th - 12th
In this math instructional activity, students label sides of right triangles as opposite, hypotenuse, and adjacent to the labeled angle. On the second page of the instructional activity, students label the part of the right triangle...
Lesson Planet

#### Trigonometry

For Students 10th - 12th
In this right triangles activity, students use trigonometric ratios to determine the length of a side of a triangle or a missing angle measurement.  This two-page activity contains 20 problems.
Lesson Planet

#### Using Trinonometry to Find Angle Measures

For Students 10th - 12th
In this trigonometric ratios worksheet, students find the missing angle of 20 triangles by using sine, cosine and tangent ratios. Students compute the angle measurement of given ratios for six problems.
Lesson Planet

#### Right Angle Triangles an the Cosine Ratio

For Students 9th - 11th
In this right triangle worksheet, students use trigonometric ratios to find the missing measurement of right triangles. This nine-page worksheet contains 10 multi-step problems. Answers are provided at the end of the worksheet.