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# Coterminal Angles

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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: • 832o • 832 – 360 = 472, 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