1. 4.3 – Trig Functions on the Unit Circle
Objective: You should be able to find the values of trig functions for any angle.

3. Example 1:
Let (–4, 3) be a point on the terminal side of an angle θ in standard position. Find the exact values of the six trigonometric functions of θ.

5. Example 2:
Find the exact value. If not defined, write undefined. a. cos π b. tan 450° c. 𝒄𝒐𝒕 𝟕𝝅 𝟐

7. Example 3:
Sketch the angle. Then find its reference angle.
–150°
b. 𝟑𝝅 𝟒
c. 520º

9. “All Students Take Calculus”

10. Example 4:
Find the exact value of:
𝒔𝒊𝒏 𝟒𝝅 𝟑
b. tan 150º
c. 𝒔𝒆𝒄 𝟏𝟓𝝅 𝟒

11. Example 5:
Let csc 𝜽 = –3, tan 𝜽 < 0. Find the exact values of the remaining five trigonometric functions of 𝜽.

12. Example 6:
A student programmed a 10-inch long robotic arm to pick up an object at point C and rotate through an angle of 150° in order to release it into a container at point D. Find the position of the object at point D, relative to the pivot point O.

14. Example 7:
Find the exact value. If not defined, write undefined. a. 𝒔𝒊𝒏 𝟕𝝅 𝟔 b. 𝐭𝐚𝐧 𝟒𝝅 𝟑 c. 𝒔𝒆𝒄 𝟐𝟕𝟎º

15. Example 8:
Find the exact value of all 6 trig functions for 𝜽= 𝟓𝝅 𝟔 .

16. Example 9:
Find the exact value of 𝒄𝒐𝒔 𝟗𝝅 𝟒 .
𝒔𝒊𝒏 (−𝟑𝟎𝟎)°
𝒕𝒂𝒏 𝟐𝟗𝝅 𝟔