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From Yahoo Answers
Question:I know what coterminal angles are, but when do I subtract 2 pi/360 degrees or add 2 pi/360 degrees to find the positive coterminal angle? What about the negative coterminal angle?
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: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 ).
Question:
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: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)
Question:I forgot how to do it. Please respond as fast a you can. Thanks! :)
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: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.
Question:I'm supposed to find the coterminal angles (one positive and one negative) for the given angle and supply my answer in radians.
a) (8pi)/9 b) (8pi)/45
I just have no idea how to do this so if you could show me that would be great.
Answers:8pi/9  2pi = 10pi/9 8pi/45  2pi = 82pi/45
Answers:8pi/9  2pi = 10pi/9 8pi/45  2pi = 82pi/45
From Youtube
COTERMINAL ANGLES :Finding angles of smallest positive measure coterminal with a given angle and writing expression for all coterminal angles
Coterminal Angles :Learn about positive to negative coterminal angles and vice versa. Learn more about online education at www.studyatapu.com