1. Coterminal Angles

2. What are coterminal angles?
Two angles in standard position that have the same terminal side are called coterminal. Y
Terminal side X
Initial side
STANDARD POSITION

3. How do you find a coterminal angle?
To find a coterminal angle, you add or subtract multiples of a complete revolution (360o)
Remember one revolution in radians is 2 π
2 π = 360o

4. To find the smallest positive coterminal angle for:
832 – 360 = 472, – 360 = 112
Since we can not subtract another 360o without getting a negative answer, we say that 112o is the smallest positive coterminal angle for 832o

5. To find the smallest positive coterminal angle for:
= =
Since we do not need to add another to get a positive answer, we say that is the smallest positive coterminal angle for

6. To find the smallest positive coterminal angle for:1)
2) -570o