NAME:_____________________________________________
Topics in Pre-Calc 2 – Angles of Rotation and Reference Angles CLASSWORK
DATE:_________
PERIOD:_______
LEARNING GOAL #1: How Do We Find and Graph Angles of Rotation?

Initial Side –

Terminal Side –

Standard Position –

Clockwise vs. Counter Clockwise
Counter Clockwise (positive angles)

Quadrantal Angles –
Counter Clockwise
Clockwise (negative angles)
Clockwise
Practice: Draw an angle with the given measure in standard position.
1. 150°
2. −30°
3. −220°
4. 300°
5. 270°
6. 400°
7. −550°
8. 965°
LEARNING GOAL #2: How Do We Find and Graph Reference Angles?
 What is happening in this example above? Why?
 What is a reference angle?
Practice: Find and graph the reference angle of each given angle in standard position.
1. 50°
2. 105°
3. 260°
4. 300°
5. −160°
6. 555°
Putting It All Together
1. Express sin(260°) as a function of a positive
acute angle.
2. Express tan(−120°) as a function of a positive
acute angle.
3. Express cos(−240°) as a function of a positive
acute angle.
4. Express csc(−300°) as a function of a positive
acute angle.