EngageNY
Modeling with Inverse Trigonometric Functions 1
Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the activity by interpreting their answers within context.
Mathematics Assessment Project
Representing Trigonometric Functions
Discover the classic example of periodicity: Ferris wheels. Young mathematicians learn about trigonometric functions through Ferris wheels. They match functions to their graphs and relate the functions to the context.
EngageNY
Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...
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...
Curated OER
Trig Integration Review
In this trigonometric functions learning exercise, students find the integral of 8 trigonometric functions. Students use trig properties to integrate each problem.
Curated OER
Trig Cut Ups
In this trigonometry learning exercise, students rearrange 16 squares to a form one large square in which all of the trig identities match up. There is an answer key.
Schoolcraft College
Trigonometry
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...
CK-12 Foundation
Trigonometric Functions and Angles of Rotation: The Triangle in the Circle
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
K20 LEARN
ADA Accessibility: Inverse Trigonometric Functions
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...
CK-12 Foundation
Trigonometric Functions of Angles Greater than 360 Degrees: Snowboarding
Spin through the trigonometric functions. Scholars determine the angle of rotation a snowboarding snowman makes at various distances in his jump. The class members then calculate the values of trigonometric functions for those angles.
Flipped Math
Calculus AB/BC - Differentiating Inverse Trigonometric Functions
Differentiating inverse trigonometric functions is quite different from applying the skill inverse functions. Scholars learn how to differentiate inverse trigonometric functions in the fourth of seven video installments in Unit 3 -...
Curated OER
Finding the Area of an Equilateral Triangle
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...
Curated OER
Evaluating Trig equations and Solving Trig Identities
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.
CK-12 Foundation
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...
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.
Curated OER
Exercise Set 5.1: Trigonometric Functions of Real Numbers
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.
Curated OER
Right Triangle Trigonometry: Evaluating Trigonometric Ratios
In this right triangle trigonometry instructional activity, 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 instructional activity...
Curated OER
6.5 Skill Builder: Trigonometric Identities
In 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.
Curated OER
Exercise Set 5.4: Inverse Trigonometric Functions
For this trigonometric functions worksheet, high schoolers solve 68 multi-part short answer and graphing questions. Students evaluate inverse trigonometric functions for a given value. High schoolers graph inverse trigonometric functions.
Curated OER
Trigonometric Functions
In this trigonometric functions worksheet, 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 identities as...
Curated OER
Finding Trigonometric Ratios
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...
Curated OER
Trigonometric Functions
In this trigonometric functions worksheet, students solve and complete 28 various types of problems. First, they convert each function from degrees to radians. Then, students find the six trigonometric functions associated with the x...
Curated OER
Trigonometric Function
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...
Curated OER
Trigonometric Function
In this trigonometric function instructional activity, 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...
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