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Coterminal Angles

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?.

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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

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