SOLUTION: The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-sep

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Question 1013848: The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)
7pi/6
PLEASE HELP

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Adding or subtracting multiples of +2%2Api+
to any angle
( in radian measure ) will make no difference-
it will still be the same angle.
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+%28+7%2Api+%29%2F6+=+%28+6%2Api+%29%2F6+%2B+pi%2F6+
so, the angle is in the 3rd quadrant and
exceeds +pi+ radians by +pi%2F6+ radians,
or 30 degrees angular measure.
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The 2 positive co-terminal angles would be:
Adding +2%2Api+,
+%28+7%2Api+%29%2F6+%2B+%28+12%2Api+%29%2F6+=+%28+19%2Api+%29%2F6+
Adding another +2%2Api+,

++%28+7%2Api+%29%2F6+%2B+%2824%2Api+%29%2F6+=+%28+31%2Api+%29%2F6+
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The 2 negative co-terminal angles would be:
+%28+7%2Api+%29%2F6+-+%28+12%2Api+%29%2F6+=+-%28+5%2Api+%29%2F6+
and
+%28+7%2Api+%29%2F6+-+%28+24%2Api+%29%2F6+=+-%28+17%2Api+%29%2F6+
Hope this makes sense