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CK-12 Foundation
Trigonometric Functions of Negative Angles
When is the trigonometric value of a negative angle the same as the positive angle? Pupils compare the values of trigonometric functions for different angles and their negatives. The interactive resource provides a visual display to make...
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
Proof of Identity
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...
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.
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Curated OER
Exercise Set 4.3: Unit Circle Trigonometry
For this unit circle worksheet, students answer 90 short answer questions about the unit circle. Students sketch angles given a radian measure. Students find the trigonometric values of various angles on the unit circle.
Curated OER
Angles in Standard Positions
Young scholars identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
Curated OER
Further Trigonometry
In this trigonometry instructional activity, students solve and complete 5 various types of problems. First, they find the exact ratios for each trigonometric function. Then, students use the expansion to find the exact value of a given...
Curated OER
MT-A141 Precalculus
In this precalculus worksheet, students use the trigonometric function of cosine in order to find the solutions to the four detailed problems.
CK-12 Foundation
Ck 12: Trigonometry: Trigonometric Functions of Negative Angles
[Free Registration/Login may be required to access all resource tools.] Learn how to define trigonometric functions of angles with negative values.
Other
Brown Math: Remembering Trig Identities
Faced with a large number of trigonometric identities, students tend to try to memorize them all. This site the emphasis is on understanding how the functions work and on memorizing only about a half dozen of them - all the others work...