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Lesson: Trigonometric Ratios on the Unit Circle Mathematics

In this lesson, we will learn how to use the fact that the quadrant where an angle lies determines the signs of its sine, cosine, and tangent and solve trigonometric equations.

Lesson Plan

Students will be able to

solve trigonometric equations by using (or visualizing) the graph of a unit circle,
apply knowledge of angles in standard position to determine the signs of trigonometric functions.

Lesson Presentation

+16

Lesson Video

Lesson Explainer

+13

Lesson Playlist

06:14
04:57
+6

01:59

Lesson Worksheet

Q1:

Find the value of .

Q2:

In the figure, points and lie on the unit circle, and .

Express the values of sine, cosine, and tangent of in terms of their values for . Check whether this is valid for all values of .

Q3:

Find , given is in standard position and its terminal side passes through the point .

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