SOLUTION: Find two angles, one positive and one negative, that are coterminal with the given angle: 5pi/6

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Question 1138364: Find two angles, one positive and one negative, that are coterminal with the given angle: 5pi/6
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
A full clockwise turn is 2pi , half a clockwise turn is pi ,
and 5pi%2F6 is a smaller clockwise turn than pi.
Those are all positive angles because the are clockwise turns.
If we add one clockwise turn to 5pi%2F6 we get
2pi%2B5pi%2F6=%282%2B5%2F6%29pi=%2817%2F5%29pi=highlight%2817pi%2F5%29 ,
which is a positive angle coterminal with 5pi%2F6 .
5pi%2F6 is pi-5pi%2F6=pi%2F6 short of pi .
Half a clockwise turn is -pi ,
if we add a clockwise angle of -pi%2F6 to -pi, we get
-pi-pi%2F6=%28-1-1%2F6%29pi=%28-7%2F6%29pi=highlight%28-7pi%2F6%29 , a negative angle coterminal with 5pi%2F6 .