### We found 734 reviewed resources for sine

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Defining Gravity

Other Resource Types ( 734 )

EngageNY

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

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...

EngageNY

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

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....

EngageNY

#### EngageNY Precalculus and Advanced Topics Module 1: Complex Numbers and Transformations

Prepare your mathematicians for calculus with a collection of 32 lessons that focus on three topics: linearity, complex number operations as transformations, and the power of right notation. Each lesson includes teacher materials...

EngageNY

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

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...

Lesson Planet

#### AP Calculus AB

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...

Lesson Planet

#### Law of Sines—Law of Sines and Law of Cosines

It's important to abide by the law. A thought-provoking lesson helps learners derive the Law of Sines. They then apply the Law of Sines to find unknown measures.

Lesson Planet

#### Proof: Law of Sines

In this video, Sal proves the Law of Sines by using the SOH-CAH-TOA model and setting up equivalent ratios.

Lesson Planet

#### Trigonometric Ratios: Sine

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

#### Deriving and Applying the Law of Sines

Breaking the law isn't possible when talking about the Law of Sines. Individuals learn to apply the Law of Sines to solve problems involving triangles. They also learn to derive the Law of Sines.

Lesson Planet

#### Triangle Area: No Height? Use the Sine

No height? No problem! Learners use their knowledge and a little help from GeoGebra to develop the Law of Sines formula. The Law of Sines helps to determine the height of triangles to calculate the area.

Lesson Planet

#### Sine or Cosine Rule?

Explore triangle problems that require the Law of Sine or Law of Cosine. A straightforward lesson focuses on deciding when to use each law. The instructor presents several triangles for pupils to consider and describes patterns in the...

Lesson Planet

#### Applying Laws of Sines and Cosines

How does the Law of Sines differ from the Law of Cosines? Learners, working cooperatively in small groups, try to gain insight into this question. The activities center around using both laws in different scenarios including real-world...

Lesson Planet

#### Law of Sines

One must obey the sine laws. A lesson introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the lesson checks to see if the Law of Sines also...

Lesson Planet

#### The Sine of 57

What does the sine of every 57-degree angle have in common? A series of questions helps build the understanding of similarity in relation to the sine ratio. Ultimately, scholars realize that all 57-degree angles have the same sine value.

Lesson Planet

#### Law of Sines

Laws are meant to be broken, right? Learners derive the Law of Sines by dropping a perpendicular from one vertex to its opposite side. Using the Law of Sines, mathematicians solve for various parts of triangles.

Lesson Planet

#### Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine

Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...

Lesson Planet

#### Horizontal Translations or Phase Shifts: Sine

Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...

Lesson Planet

#### What is the Law of Sines?

The Law of Sines is derived in this video by using formula for the area of a triangle that multiplies _ times two adjacent sides and the sine of their included angle.

Lesson Planet

#### The Inverse Sine Function

Create an inverse sine using a little strategic maneuvering! Scholars learn to restrict the domain to produce the inverse sine function in the first video. The following videos present problems to reinforce the domain/range relationship...

Lesson Planet

#### The Law of Sines and the Law of Cosines

In this college level trigonometry worksheet, students apply the Law of Sines and the Law of Cosines to solve triangles. The four page worksheet contains forty-four problems. Solutions are not provided.

Lesson Planet

#### Sine and Cosine Graphs

Learners compare and contrast sine and cosine graphs in order to describe their characteristics in a collaborative activity. As they explain their reasoning, learners strengthen their writing and vocabulary skills associated with sine...

Lesson Planet

#### Introduction to Law of Sines

Students solve problems using the law of sines. In this sines lesson, students work in groups and individually to solve problems using the law of sines. They identify real life problems that require the use of the law of sines. Real...

Lesson Planet

#### Law of Sines

In this Law of Sines worksheet, students describe, in their own words, when to use the law of sines. They give an example of a problem using the law of sines. This two-page worksheet contains one problem and a sample answer.

Lesson Planet

#### Sine Values and Angles

In this math learning exercise, students are given 6 unit circles on an x-y axis with a sine value. Students are instructed to plot the sine values and find the angle associated with those points

Lesson Planet

#### Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

Students explore the concept of sine and cosine. In this sine and cosine lesson, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent function shift the graph. ...

Lesson Planet

#### Discovering Sine and Cosine using Pythagorean Theorem

Students identify the sine, cosine and the Pythagorean Theorem and solve problems. In this geometry lesson plan, students relate the concept of trigonometry to solving real life problems.

Lesson Planet

#### The Law of Sines

In this law of sines worksheet, students use the law of sines to find the missing measurement in a triangle. They determine the value of angles and the lengths of triangles. Students compute the area of triangles. This four-page...

Lesson Planet

#### Following the Law of Sine

Laws were not meant to be broken. Learners apply the Law of Sines to solve triangles. After doing some practice problems, they solve a real-world problem involving a city planning project.

EngageNY

#### Extending the Domain of Sine and Cosine to All Real Numbers

Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.

EngageNY

#### Applying the Laws of Sines and Cosines

Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in lesson 33 of 36, the resource asks learners to apply the laws to different situations. Pupils must...

EngageNY

#### Graphing the Sine and Cosine Functions

Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...

EngageNY

#### Law of Sines

Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...

Lesson Planet

#### "I Saw the Sine"

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.

EngageNY

#### Sine and Cosine of Complementary Angles and Special Angles

Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous lesson in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the ratios...

EngageNY

#### Putting the Law of Cosines and the Law of Sines to Use

Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...

EngageNY

#### Transforming the Graph of the Sine Function

Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function.

Lesson Planet

#### Adding the Sines

It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...

Lesson Planet

#### What Does the Graph of the Sine Function Look Like?

Using the unit circle and the values of _ at 0, ¹/2, ¹, and 3¹/2, the instructor shows how to construct the sine graph by translating the y-coordinate of the unit circle to the graph. She then looks at the domain, range, amplitude,...

Lesson Planet

#### The Hyperbolic Sine and Cosine

In this sine and cosine worksheet, students find derivatives and integrals of 6 functions. Students find derivatives, indefinite integrals and the area between two curves.

Lesson Planet

#### Sine Rule – Missing Sides

Respect the rules. Young mathematicians watch a video in which the narrator explains the sine rule, or the law of sines. They see how to apply the law of sines to find a missing side of a triangle. A worksheet provides an opportunity for...

EngageNY

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

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

#### Translating Sine and Cosine Functions: Translating Sine

Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...

Lesson Planet

#### Finding Sine

All sines point to a good resource. Pupils use a right triangle to find the sine ratio given the cosine ratio. A second problem has learners consider angles for which cosine and sine are equal.

Lesson Planet

#### Changes in Period and Amplitude of the Sine Function

How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...

Lesson Planet

#### Sine Rule

Discover how to apply the Law of Sines to find unknown side and angle measures. A detailed video lesson describes the Law of Sines in different forms. The instructor completes two different examples that find both an angle and side...

Lesson Planet

#### Sine and Cosine

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.

Lesson Planet

#### Sine Graph and Cosine Graph: Changing Amplitude

Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.

Lesson Planet

#### Law of Sines or Sine Rule

In this online math learning exercise, students construct triangles and squares by utilizing the sine rule. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A...

Lesson Planet

#### Sine

In this sine worksheet, students use the trigonometry equation to find the sine of triangles. Students solve the sine for 10 triangle problems.

Lesson Planet

#### Exploring the Laws of Sines and Cosines

This lesson plan uses GeoGebra on the Web, or Geometer's Sketchpad to investigate and identify the different properties of sines and cosines. The class learns how the laws of sine and cosine relates to a right triangle and a non-right...

Lesson Planet

#### Investigating the Sine and Cosine Functions

Students explore the concept of sine and cosine. In this sine and cosine lesson, students collect data from a unit circle about sine and cosine values at different angle measures. Students graph the sine and cosine data on a coordinate...

Lesson Planet

#### Applying Laws of Sines and Cosines

This worksheet provides excellent practice in applying the Law of Sines and the Law of Cosines. It consists of six problems, each of which presents a real-world scenario with an accompanying diagram. The task in each exercise is to...

Lesson Planet

#### Introducing the Sine Ratio

Sign on to learn about sine. Scholars view a video that explains the sine ratio. It shows how the ratio changes depending on the angle in question.

Lesson Planet

#### Sine Graph: y=sin(x)

The graph of the sine goes up and down, up and down, up and down! An informative video describes the process of graphing the sine function. It shows how to set up a table of values and then presents the finished graph.

Lesson Planet

#### Law of Sines

In this Law of sines worksheet, 10th graders solve 10 different sets of problems related to the Law of Sine and Ambiguous case. First, they determine the ratio of the sides of the triangle with the given measurements. Then, students...

Lesson Planet

#### Algebra 2 & Trigonometry Practice: Law of Sines

In this law of sines worksheet, students solve 9 multiple choice and short answer problems. Students use the law of sines to missing side lengths and angles of triangles.

Lesson Planet

#### Laws of Sine and Cosine

In this sine and cosine worksheet, students complete problems about triangles with sine and cosine. Students complete 10 problems total.

Lesson Planet

#### Sines and Cosines

In this sines and cosines learning exercise, 11th graders solve and complete 14 different types of problems. First, they write the sine and cosine of a point as fractions is simplest form. Then, students find the measure of an angle to...

Lesson Planet

#### Law of Sines and Law of Cosines

In this sine and cosine activity, students use the law of sines and law of cosines to find the required part of a triangle. Examples and explanations are provided. This three-page activity contains 24 problems. Answers are listed at...

Lesson Planet

#### Give Me a Sine

High schoolers link the use of trigonometric ratios to the use of trigonometric functions. Students contribute sets of data points to build the graphs of the sine and cosine functions. Worksheet and activity is included with this lesson.

Lesson Planet

#### Sine, Cosine, Tangent

In this sine, cosine, tangent worksheet, students read short statements, draw illustrations of the statement and then use trigonometric ratios to determine the length of the missing side or measurement of an angle. This five-page...

Lesson Planet

#### Law of Sines

In this math instructional activity, students find the solutions to the problems using the law of sines. They must have two angles and one side.

Lesson Planet

#### Law of Sines and Cosines

In this sine and cosine worksheet, students read story problems and use the trigonometric functions to determine distance, height, and width of objects. Students extrapolate information from the story and draw models. This two-page...

Lesson Planet

#### The Sine and Cosine Ratios

In this geometry learning exercise, 10th graders write the ratio that represents the sine and cosine of the indicated angle. The one page learning exercise contains two multiple choice questions. Answers are included.

Lesson Planet

#### Sine

In this sine instructional activity, 10th graders solve 10 different problems that include finding the sine in each figure shown. They determine the value of x in each situation. Then, students use the tangent line of the given angle to...

Lesson Planet

#### Law of Sines and Cosines

For this sine and cosine worksheet, students solve given triangles using the law of sines and cosines. They determine the area of triangles. This three-page worksheet contains 12 multi-step problems.

Lesson Planet

#### Law of Sines

For this Law of Sines worksheet, students use trigonometric ratios to determine angle measurement and/or the length of the side of a triangle. This one-page worksheet contains ten trigonometric ratio problems.

Lesson Planet

#### Ten Law of Sines Problems

In this law of sines worksheet, students use the law of sines to solve for the missing side or angle in ten problems. A diagram is provided.

Lesson Planet

#### Intro to the Trigonometric Ratios

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

#### Exploring Triangles through the Law of Sines and Cosines

Students calculate the unknown sides and angles of a triangle and explore why one cannot determine the lengths of the sides of triangles if only the angles are known. Students explore the Law of Sines and the Law of Cosines by creating...

Lesson Planet

#### Using a Calculator (Sine, Cosine, Tangent)

In this calculator instructional activity, students use a calculator to solve given trigonometric ratios. They determine the sine, cosine and tangent of expressions. This one-page instructional activity contains ten problems.

Lesson Planet

#### Practice 8-4: Sine and Cosine Ratios

In this sine and cosine ratios worksheet, students write ratios for modeled triangles. They find specified angle measurements and length of one side of a triangle. This one-page worksheet contains 18 problems.

Lesson Planet

#### Woody Sine

Students explore the concept of sine. In this sine lesson plan, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put...

Lesson Planet

#### Sine and Cosine Rules and Area of Triangles

Learners discover how to find missing sides and angles using trigonometry. Scholars first watch a video covering the Law of Sines and Cosines, as well as the area formula for a triangle. To test their knowledge, they complete a learning...

Lesson Planet

#### Trigonometry

Students identify the different ratios of a right triangle. In this trigonometry lesson, students calculate the sine, cosine and tangent of a right triangle. They differentiate between right and oblique triangles.

Lesson Planet

#### Law of Sines and Cosines

In this law of sines and cosines worksheet, students solve 8 problems finding missing sides and missing angle measures of various triangles.

Lesson Planet

#### Law of Sines Word Problems

Students solve word problems using the law of sines. In this precalculus lesson, students work in groups as they define vocabulary terms. They apply the formula of sine to answer and solve problems.

Lesson Planet

#### Algebra And Trigonometry - Week 3: Law of Sines

For this law of sines worksheet, learners read story problems. They use both algebra and the law of sines and cosines to solve problems. This two page worksheet contains seven problems.

Lesson Planet

#### Law of Sines

Students identify the ratios of a right triangle. In this calculus lesson, students use the law of sines to solve problems involving non-right triangles. They identify the different parts of a triangle.

Lesson Planet

#### Law of Sines and Law of Cosines

In this Pre-calculus/Trigonometry worksheet, students use the laws of sines and cosines to solve triangles. The four page worksheet contains thirteen problems. Answers are not included.

Lesson Planet

#### Sine, Cosine, and Tangent Practice

Your learners will get plenty of practice finding the sine, cosine, and tangent values and angles in this well-organized worksheet. Given right triangles with their various side lengths and angles labeled, learners find the sine, cosine,...

Lesson Planet

#### Calculations with Sine and Cosine

Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...

Lesson Planet

#### Angle-Side-Angle Triangles: Caution Tape

Don't lose your marbles. Scholars use an interactive to create a triangle that closes off a portion of a sidewalk with loose marbles. The Law of Sines helps them find the side measures of such a triangle.

Lesson Planet

#### Worksheet 7.1: Law of Sines

In this law of sines worksheet, students use the law of sines to solve given equations. They determine the distance between two points. This two-page worksheet contains seven multi-step problems.

Lesson Planet

#### Law of Sines

In this law of sines worksheet, 10th graders solve and complete 20 different types of problems. First, they find the area of the triangle illustrated with the given degree measures. Then, students solve each triangle. In addition, they...

Lesson Planet

#### The Sine Function

Learners explore the concept of the sine function. In this sine function lesson plan, students use a plexiglass sine wave generator to visualize the sine function. Learners use a computer program/calculator to adjust aspects of the sine...

Lesson Planet

#### Sine

In this sine learning exercise, 10th graders solve 10 different problems by determining the sine in each right triangle shown. They determine the sine of one point by applying the other points given in the problem.

Lesson Planet

#### Integrals with Even Powers of Sine and Cosine

Students discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...

EngageNY

#### What Is a Trigonometric Identity?

Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.

EngageNY

#### Using Trigonometry to Find Side Lengths of an Acute Triangle

Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems.

Lesson Planet

#### Sine Curves

Students connect the sine curve and the sine relationship. In this sine curve activity, students create a function using spaghetti and a variety of materials. Students use construction to answer follow-up questions.

Lesson Planet

#### Sine and Cosine of Complementary Angles Lesson Seed

This resource suggests various activities to establish the relationship between the sine and cosine of complementary angles. The activities have learners making conjectures based on their explorations and providing rationales to support...

Lesson Planet

#### Basic Trigonometry ll

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...

Lesson Planet

#### The unit circle definition of trigonometric function

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

#### Connecting Unit Circle and Sine/Cosine Curves

Students apply the properties of trigonometric ratios to solve problems. In this calculus instructional activity, students apply the ratios of sine, cosine and tangent as they solve problems with vectors.

Lesson Planet

#### How Do You Find the Sine of an Angle in a Right Triangle?

A trigonometric ratio is a ratio between two sides of a right triangle. In this problem, find sin(A) in the given right triangle. Use the ratio of the opposite side over the hypotenuse.

EngageNY

#### Solving Problems Using Sine and Cosine

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

#### Derivatives of Hyperbolic Functions

Trig provides assistance in finding the derivatives of hyperbolic functions. The presentation provides an example of finding the derivative involving hyperbolic functions. Using the chain rule, the video finds the derivative of a...

Lesson Planet

#### Right Triangle Relationships

Work with sine and cosine relationships three ways. Three questions assess pupils' understanding of the trigonometric relationship between complementary angles. Learners use the value of one ratio to determine the other and the equal...

Lesson Planet

#### Sine Solution

How many times can eager mathematicians catch the waves? Pupils find the solutions of three different trigonometric equations. They then determine the effect of the slope of a line that intersects a trigonometric function and the number...

Lesson Planet

#### Introduction to Trigonometric Functions

Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.

Lesson Planet

#### Alternate Formula for the Area of a Triangle: Alternate Area of a Triangle

It's always nice to have a plan B. Pupils investigate an alternate formula for the area of a triangle that uses sine. A set of challenge questions shows how the new formula relates to the well-known formula of (1/2)bh.

Lesson Planet

#### Derivatives of Trig Functions

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

#### Derivatives of inverse hyperbolic functions

Apply knowledge of derivatives and inverse hyperbolic functions. Using the formula for the derivative of an inverse hyperbolic function, the resource finds the derivative of a more complex function. The complex function is comprised of a...

Lesson Planet

#### Graphing in Circles

High schoolers explore the concept of the unit circle. In this unit circle lesson, students create a scatter plot of the sine, cosine, and tangent function using data from the x and y values on the unit circle. High schoolers...

Lesson Planet

#### Graphing In Circles

Students explore the concept of circles. In this circles activity, student take sine and cosine values from the unit circle and plot them on a coordinate plane. Students discuss the relationship between the sine and cosines graph and...

Lesson Planet

#### Getting Triggy With It

The concept of sine and cosine is explored in this lesson where students graph sine and cosine graphs using a transformation application on the graphing calculator. Students change the coefficients for the amplitude, period, frequency,...

Lesson Planet

#### Ratios of Right Triangles

High schoolers find the angle measures of a right triangle given two side lengths. In this finding the angle measures of a right triangle given two side lengths instructional activity, students record the ratio of a leg and hypotenuse...

Lesson Planet

#### Trigonometry Formula Worksheet

In this trigonometry activity, students solve right triangle problems. They find the sine, cosine and tangent of given triangles. This on-line, interactive activity contains 6 problems. Answers are provided.

Lesson Planet

#### Sine, Cosine, and Tangent Functions: Lighthouse

How far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances stemming...

Lesson Planet

#### What is the Formula for the Area of a Triangle Using Sines?

Watch this video to discover how trigonometry can give you another way to find area of triangle. By starting with the standard formula for the area of the triangle and the right triangle trigonometric ratio for sine, the instructor...

Lesson Planet

#### Arc Length

Students determine the length of the sine curve on the interval 0 to 2Pi. In this length of the sine curve on the interval 0 to 2Pi lesson, students use triangles and rectangles to estimate the arc length of the sine curve. Students...

Lesson Planet

#### Sin, Cos, and Tan of Right Triangles

Students explore the sine, cosine, and tangent relationships of a right triangle. In this sine, cosine, and tangent relationships of a right triangle lesson, students construct a right triangle. Students develop the sine, cosine, and...

Lesson Planet

#### Periodic Waves

Students explore the concept of periodic waves. In this periodic waves lesson plan, students determine the amplitude, wavelength, period, and phase shift of sine and cosine graphs. Students use sliders to change the value of a, k, and...

Lesson Planet

#### Hunter Fred's Quest for Dinner

Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...

Lesson Planet

#### The Region Between Two Curves

Students find the area between two curves. In this area between two curves lesson, students find the area between the sine and cosine functions. Students find the volume of the region when it is rotated around the x-axis. Students...

Lesson Planet

#### What's the Trig?

Learners determine the trigonometric relationships within a triangle as they construct a right triangle on the Ti-89. They find the sine, cosine, and tangent of various angles of their triangle construction.

Lesson Planet

#### Using Trinonometry to Find Angle Measures

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

#### "Slinking" around the sinusoids...

Eleventh graders investigate the sine function. In this Algebra II lesson, 11th graders use a CBR to collect sinusoidal data and use the Transform APPS to find a model of the function. The lesson includes instructions for using the...

Lesson Planet

#### Precalculus Test Sections 5.1 - 5.2

In this section worksheet, students simplify given addition and division problems containing ratios with sine, cosine, and tangent. They factor problems and prove identities. This two-page worksheet contains 12 problems.

Lesson Planet

#### Pre-Calculus Test Chapter 5: Identities

In this identities worksheet, students match equivalent expressions containing sine, cosine, and tangent. They solve equations, find intervals, and determine all solutions to an interval. Students prove given identities. This...

Lesson Planet

#### Easy Worksheet: Trigonometry

For this trigonometry worksheet, high schoolers solve 4 short answer problems. Students find the sine, cosecant, secant or cotangent of an angle given a diagram of a right triangle with various measurements labeled.

Lesson Planet

#### Area of a Triangle – Sine/Trigonometry

Half the base times height was great for elementary school, but now we have a more general formula. Scholars watch a short video that highlights the area formula A = 1/2 ab sin C. The narrator works through an example of applying the...

Lesson Planet

#### Graphing Trigonometric Functions

Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions.

Lesson Planet

#### Concepts in Precalculus 1: Trigonometry

Students investigate trigonometry. For this Algebra II/Pre-calculus/Trigonometry lesson, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of Cosines. ...

Lesson Planet

#### Section 6.1-6.2 Precalculus: Trigonometry

In this trigonometry worksheet, high schoolers solve 15 triangle problems. Students use the law of sines and law of cosines to find the missing angles and side lengths of a triangles.

Lesson Planet

#### How Do You Find a Missing Side of a Right Triangle Using Sine?

What's a trigonometric ratio? It is a ratio between two sides of a right triangle. In this problem, find sin(A) in the given right triangle. Use the ratio of the opposite side divided by the hypotenuse to find sin(A). The instructor...

Lesson Planet

#### 13-5 Skills Practice: Law of Cosines

In this law of cosines worksheet, students solve problems using the law of sines or the law of cosines. They determine the value of a leg of a triangle and it's measurement. This one-page worksheet contains 16 problems.

Lesson Planet

#### Trigonometry Ratios in Right Triangles

In this trigonometry ratios in right triangles worksheet, 10th graders solve 10 different trigonometric ratios that apply to right triangles. First, they define a trigonometric ratio and its three most common ratios, sine, cosine, and...

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#### PreCalculus: Final Examination

In this final examination activity, students find the tangent function and sine function. They graph problems on a polar coordinate. Students describe trigonometric properties. This twelve-page activity contains 80 problems.

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#### Review of Trigonometry

In this review of trigonometry worksheet, students determine the values of angels using sine, cosine, and tangent. They determine arc length and find the coordinates of endpoints. This two-page worksheet contains approximately 70...

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#### Trigonometric Tables

In this trigonometric tables worksheet, students complete sine, cosine, and tangent measurements in a chart. Students complete 11 problems.

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#### Exploring Trigonometric Ratios

Students identify the ratios of trig functions. In this trigonometry lesson, 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.

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#### Trigonometry Worksheet

In this trigonometry worksheet, students use the law of sines to find the length of a missing side of a triangle. They prove trigonometric identity and use Heron's formula to find the area of a triangle. This two-page worksheet...

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#### Trigonometry and Right Triangles

For this trigonometry and right triangles worksheet, students solve and complete 12 different problems that include various right triangles. First, they write the sine or cosine equation for each right triangle illustrated. Then,...

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#### Integrals with Odd Powers of Sine and Cosine

Students review the power rule for integrals. They watch as the teacher demonstrates several problems. Students describe problems as an integral of u^n or du/u. They discuss problems that are not u^n because of the absence of a...

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#### Arc Length

Students explore the concept of arc length. In this arc length lesson plan, students find the arc length of a sine curve over a specific interval using integrals. Students use their Ti-Nspire to determine the integrals of sine curves.

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#### Quick-Draw McGraw

High schoolers graph functions that are given, and then they write the equations for the completed graphs. There are several problems included, and they are designed to be used without calculators.

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#### From Circle-ometry to Trigonometry

Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.

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#### “The *Distance* Less Traveled

Use geometry to find your way from point A to point B! Learners work to build the Law of Cosines using a conceptual exercise. They use their knowledge of Law of Sines and a map triangulation activity to write their own equations for the...

EngageNY

#### Awkward! Who Chose the Number 360, Anyway?

Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...

EngageNY

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

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.

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#### Are You Pulling My Trig?

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.

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#### Let's Go On Vacation!

You can cover some ground traveling from point A to point B to point C. Learners apply trigonometry to give values to the ground you cover. They choose three locations and create a map. Using the Law of Sines, Law of Cosines, and Heron's...

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#### Module 7: Modeling with Geometry

Model good modeling practices. Young mathematicians first learn about cross sections and solids of revolution. They then turn their attention to special right triangles and to the Laws of Sine and Cosine.

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#### Crawling Around: Parametric Plots

Students model the sine function using parametric equations. In this modeling sine functions using parametric equations lesson, students make scatter plots of x and y data and find a regression line to fit the sine function. Students...

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#### Climate and Temperature: Sinusoidal Models

Students explore the concept of sine and cosine. In this sine and cosine lesson, students model temperature and climate using sine and cosine. Students determine the sine or cosine function to represent temperature data over the course...

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#### Trig Twisters

For this trig worksheet, students use the law of sines, cosine, and tangent to solve problems. They work with a partner to find the measurement of angles to the nearest degree and the product of sines. This two-page worksheet contains...

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#### Graph Trigonometric Functions

In this graphing trigonometric functions instructional activity, students graph 1 sine equation. Students plot the graph of the function y=-0.5sin(-3x).

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#### Facilitated Remembrance of Trig Functions

Students review the trigonometric functions of sine, cosine, and tangent. They foster expertise with the secant, cosecant, and cotangent functions. Students invent a story about CHOSHACAO and her special relationship with SOHCAHTOA.

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#### Trig and Treat - Study of Laws of Triangles

Eleventh graders complete worksheet relating to right and equilateral triangles, discuss definition of trigonometric functions and locate functions on scientific calculator, and solve problems using sines and cosines.

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#### Special Limits

Students explore the concept of limits. For this limits lesson, students determine the limits of sine and cosine functions when they are divided by x. Students determine the limits in radian mode on their Ti-Nspire.

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#### Identifying Trigonometric Realationships

Tenth graders explore right triangle trigonometry. In this geometry lesson, 10th graders investigate the characteristics and properties of sine, cosine, and tangent as they explore the ratios between two of the segment of a right...

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#### Inverse Trigonometry

In this math worksheet, students graph each function while focusing upon finding the domain and range of each one. They also find the exact values using sine, cosine, and tangent.

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#### Angle Sum and Difference

In this angle sum and difference worksheet, 11th graders solve 10 different problems related to determining the angle sum and difference of numbers. First, they determine the exact value of sine and cosine degrees. Then, students utilize...

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#### Missing Angles

In this missing angle learning exercise, students use trigonometry ratios to determine the measurement of a missing angle. Students identify sine, cosine and tangent ratios. This one-page learning exercise contains ten problems.

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#### Area of Triangle Using Trigonometry

In this trigonometry worksheet, students determine the area of triangles using the trigonometry ratios of sine, cosine, and tangent. This one-page worksheet contains ten problems.

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#### Triangles

In this triangles activity. students solve and complete 12 different problems involving various right triangles. First, they use sine, cosine and tangent to solve each problem. Then, 10th graders write an equation for each right triangle...

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#### Evaluate Integrals

In this evaluating integrals worksheet, students solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function. They also...

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#### Trig Identities

In this trig identities learning exercise, 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...

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#### Review 13.1-13.2: Unit Circle

In this unit circle worksheet, students find the sine, cosine, tangent, cotangent, and co-secant of given values. They determine the exact value of trigonometric ratios. Students convert from degrees to radians. This two-page worksheet...

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#### Worksheet 6.4 Double-Angle Formulas

In this double-angle formula worksheet, students find the exact value of equations using double-angle formulas. Students use half-angle formulas to determine the value of sine, cosine and tangent of given angles. This two-page...

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#### Trigonometric Ratios

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...

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#### Trigonometry Worksheet: Verify Identities (2)

In this sine and cosine identities instructional activity, students verify the identities of two problems.

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#### Math Worksheet: Geometry Problem (3)

In this geometry worksheet, students find the missing side of a triangle within a triangle. Students use sine and cosine relationships as well as the Pythagorean Theorem.

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#### Mathematics B: New York High School Test

In this mathematics worksheet, students solve problems pertaining to high school mathematics. Problems include topics such as finding the sine, cosine and tangent. They graph functions, work with statistics, solve measurement problems,...

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#### Areas Between the Curves

In this algebra learning exercise, students solve and complete 12 problems involving sine, cosine, area and function.

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#### Overview Worksheet

In this activity, learners solve 5 multi-step problems involving sine, cosine, velocity, inflection and constants.

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#### Algebra Quiz

In this algebra worksheet, students solve 3 problems using sine, cosine, and graphing.

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#### SOH CAH TOA What?

Learners identify the different ratios of a right triangle. In this trigonometry lesson, students use the Pythagorean Theorem to find the ratios of the sides of a right triangle. They identify the measurements of sine, cosine and tangent.

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#### The Trigonometric Functions

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...

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#### Does Your Field Measure Up

Students measure angles using a plane table kit. In this geometry activity, students use trigonometric identities to find the values of the length of a football field.

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#### Are You Pulling My Trig?

Build on students' knowledge about triangles with this introductory lesson on trigonometric ratios. After first exploring key terms in a scavenger hunt activity, students solve a series of guided and independent practice problems dealing...

EngageNY

#### Trigonometric Identity Proofs

Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...

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

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...

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

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...

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#### Exploring Sinusoidal Functions

What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...

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#### Angle-Angle-Side Triangles: Garden Gate

Good fences make good gardens. Individuals use an interactive to see how angles and sides relate in a triangular-shaped garden fence. They apply the Law of Sines to find the length of the garden gate (third side of triangle) given two...

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#### Intro to Trigonometric Ratios

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...

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#### Decoding Basic Trigonometric Ratios

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...

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#### Exact Trig Values - Hand Trick

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...

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#### Other Graphs—Sin, Cos, Tan, and Exponential

Explore the graphs of the trigonometric functions. Learners see the graphs of the sine, cosine, tangent, and exponential functions. Focusing on the parent function, the video instructor discusses key features and how to identify each...

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#### Getting on the Right Wavelength

Predict an equation that waves up and down. Pupils set the height, radius, and period of a Ferris wheel. The learners write a sine equation to match the graph of the height of a point on the wheel as a function of time. Running the...

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#### Polar Coordinates

Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...

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#### The Trigonometric Ratios: Lesson

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,...

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#### Betweenness V

Take a unique approach to study the graphing of trigonometric functions. Young scholars consider two sine functions and write three functions that will lie between the two given. They use a graphing utility to assist in their explorations.

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#### Module 6: Modeling Periodic Behavior

Around and around we go ... again, and again, and again, and again! That's the nature of a periodic function. Young scholars learn how to model a periodic pattern with trigonometric functions. The nine-lesson unit explores the connection...

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#### Trigonometry Introduction

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...

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#### Unit Circle Triangle

Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...

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#### Algebra and Trigonometry - Week 3: Story Problems

In this story problem worksheet, students read story problems, write equations, and solve. They use the law of sines, the law of cosines, the distance formula, and rates to solve problems. This two-page worksheet contains seven story...

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#### Final Exam Review: Angles & Trig Functions

In this trigonometry function worksheet, students review the law of sines and cosines. They find exact trig function values for angles, determines amplitude, period and phase shift of a graph, and add ordinates. This final review...

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#### Polar Functions

Explore the concept of polar functions and learn how to determine the length around a function using polar coordinates. High schoolers use their Ti-calculators to determine the length of a function that looks like a five-leaved rose....

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#### Worksheet 12: Functions

In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.

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#### Calculus Worksheet

In this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...

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#### The Laws of Sines and Cosines Made Simple!

Students explore the concept of law of sines and cosines. For this law of sines and cosines lesson, students construct a triangle tool from card stock and markers. Students use their triangle tool to aid in solving problems involving...

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#### The Law of Sines

In this law of sines worksheet, 10th graders solve and complete 15 different types of problems. First, they find the indicated measure in a given triangle. Then, students find the measure of the indicated angle of a triangle to the...

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#### Completing Precalculus Computations

In this precalculus worksheet, 12th graders find the solutions to four problems. They verify the identity of sine and find the exact value of cosine.

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#### Second Order ODE's

In this second order ODE's worksheet, students solve 2 different problems that are related to determining the second order ODE's in each equation given. First, they set up an equation where the applied force is the cosine plus the sine...

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#### Quadrantal Angles

In this quadrantal angle worksheet, students determine the six trigonometric for each quadrant angle. This one-page worksheet contains 36 problems, with answers printed at the bottom of the page.

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#### Derivatives of the Trigonometric Functions

Explore the derivatives of trigonometric functions through a video tutorial. The instructor shows how to evaluate a limit as x approaches infinity of a sine function. The final answer results in a limit of one.