1. Coterminal Angles

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

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

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

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) -570 o