1. 12.3 Day 1 Notes Trigonometric Functions of General Angles
Algebra 2
12.3 Day 1 Notes
Trigonometric Functions of General Angles

3. Example 1A
The terminal side of 𝜃 in standard position contains the point (8, −15). Find the exact values of the six trigonometric functions of 𝜃.

4. Example 1B – You try
The terminal side of 𝜃 in standard position contains the point (−3, 4). Find the exact values of the six trigonometric functions of 𝜃.

5. Special Cases

6. Example 2A
The terminal side of 𝜃 in standard position contains the point (0, −2). Find the exact values of the six trigonometric functions of 𝜃.

7. Example 2B – You try
The terminal side of 𝜃 in standard position contains the point (3, 0). Find the exact values of the six trigonometric functions of 𝜃.

8. A reference angle is the acute angle formed by the terminal side of the angle and the x-axis.

9. Example 3
Sketch the angle 𝜃 and find the reference angle 𝜃 ′ for each angle 𝜃 given. a) 𝜃=140° b) 𝜃=−150°

10. Example 3 Continued
Sketch the angle 𝜃 and find the reference angle 𝜃 ′ for each angle 𝜃 given. c) 𝜃= −5𝜋 6 d) 𝜃=320°

11. Exit Slip
Part 1: The terminal side of 𝜃 in standard position contains the point (0, 5). Find the exact values of the six trigonometric functions of 𝜃. Part 2: Sketch the angle 𝜃 and find the reference angle 𝜃 ′ . 𝜃=145° 𝜃= 11𝜋 3