SOLUTION: find a conterminal angle between 0 and 2pi with 17pi/4?

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Question 1164157: find a conterminal angle between 0 and 2pi with 17pi/4?
Found 2 solutions by ikleyn, Theo:
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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Simply subtract the "two full rotations angle"  2%2A%282%2Api%29 = 4pi = 16pi%2F4  angle from the given angle.

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Hey, I just answered two or three similar questions.

Are you going to go over all possible angles in a row ?

Simply turn on your mind (!)



Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the initial angle is 17pi/4
the angle will be coterminal every 2pi radians.
that's because one full cycle is 2pi.
2pi is the same as 2pi/1.
multiply that by 4/4 to get 16pi/4
subtract that from 17pi/4 to get 1pi/4 = pi/4.
pi/4 is between 0 and 2pi, so that's your coterminal angle.