Negative Angles Teacher Resources

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...

To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...

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.

Learners 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...

Learners explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, learners investigate the Pythagorean trigonometric identities and the geometric c proofs...

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...

In this geometry learning exercise, students identify the different measure of each angle. They rotate the rays around and make observations about the angles formed. There are 15 questions and lots of examples.

In this precalculus worksheet, students complete a table of common angle equivalences and compare them to radians. Using their calculator they examine the difference between angles in degrees and the answer in radians. Students...

This lesson show haw a negative angle can be drawn on a unit circle. It is 7 of 7 in the series titled "Drawing a Negative Angle."

This lesson show haw a negative angle can be drawn on a unit circle. It is 3 of 7 in the series titled "Drawing a Negative Angle."

This lesson show haw a negative angle can be drawn on a unit circle. It is 5 of 7 in the series titled "Drawing a Negative Angle."

This lesson show haw a negative angle can be drawn on a unit circle. It is 1 of 7 in the series titled "Drawing a Negative Angle."

This lesson show haw a negative angle can be drawn on a unit circle. It is 6 of 7 in the series titled "Drawing a Negative Angle."

This lesson show how to evaluate a negative angle. It is 2 of 6 in the series titled "Evaluating a Negative Angle."

This lesson show how to evaluate a negative angle. It is 3 of 6 in the series titled "Evaluating a Negative Angle."

This lesson show how to evaluate a negative angle. It is 5 of 6 in the series titled "Evaluating a Negative Angle."

This lesson show how to evaluate a negative angle. It is 1 of 6 in the series titled "Evaluating a Negative Angle."

This lesson show haw a negative angle can be drawn on a unit circle.

[Free Registration/Login may be required to access all resource tools.] Learn how to define trigonometric functions of angles with negative values.

Using the unit circle definition to think about the signs of the sine and the cosecant of a negative angle. [3:19]