Interactive
CK-12 Foundation

Trigonometric Functions of Negative Angles

For Students 10th - 12th Standards
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...
Lesson Plan
Curated OER

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 Plan
Curated OER

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...
Lesson Plan
EngageNY

Extending the Domain of Sine and Cosine to All Real Numbers

For Students 10th - 12th Standards
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.
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
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...
Worksheet
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Curated OER

Exercise Set 4.3: Unit Circle Trigonometry

For Students 9th - 12th
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.
Lesson Plan
Curated OER

Angles in Standard Positions

For Teachers 9th - 11th
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...
Worksheet
Curated OER

Further Trigonometry

For Students 11th - 12th
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...
Worksheet
Curated OER

MT-A141 Precalculus

For Students 11th - Higher Ed
In this precalculus worksheet, students use the trigonometric function of cosine in order to find the solutions to the four detailed problems.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Trigonometric Functions of Negative Angles

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to define trigonometric functions of angles with negative values.
Activity
Other

Brown Math: Remembering Trig Identities

For Students 9th - 10th Standards
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...