Coterminal Angles.

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Presentation transcript:

Coterminal Angles

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

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

To find the smallest positive coterminal angle for: 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

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

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