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Answers:If you graph angles x = 30 and y = - 330 in standard position, these angles will have the same terminal side. Coterminal angles Ac to angle A may be obtained by adding or subtracting k*360 degrees or k* (2 ). Hence: Ac = A + k*360 if A is given in degrees. or Ac = A + k*(2 ) if A is given in radians. where k is any negative or positive integer. A positive coterminal angle to angle A may be obtained by adding 360 , 2(360) = 720 (or any other positive angle multiple of 360 ) . A negative coterminal angle to angle A may be obtained by adding -360 , -2(360) = -720 (or any other negative angle multiple of 360 ).
Answers:You can find coterminal angles by adding and subtracting 360 300 - 360 = -60 300 + 360 = 660 You can find others by continuing to add and subtract 360 (one complete revolution of the circle)
Answers:2 pi is about 6.28, so this angle is between -2pi and -4pi. If we rotate -4 pi, then rotate in the positive direction to get back to -10, the positive rotation is -10 - (-4pi) = 4 pi - 10 = roughly 2.56. You can find it more accurately than that.
Answers:8pi/9 - 2pi = -10pi/9 8pi/45 - 2pi = -82pi/45