SOLUTION: Find an angle between -2pi and 0 that is coterminal with 5/12pi. Explain your answer in radians in terms of pi.

Question 328512: Find an angle between -2pi and 0 that is coterminal with 5/12pi. Explain your answer in radians in terms of pi.
Found 2 solutions by stanbon, nyc_function:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find an angle between -2pi and 0 that is coterminal with 5/12pi. Explain your answer in radians in terms of pi.
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(5/12)pi - (2pi)
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= (5/12) - (24/12)pi
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= (-19/12)pi
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Cheers,
Stan H.
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Angles are coterminal if they have the same terminal side.
In your sample question, we need to find one angle, in radians, that has the same terminal side as 5pi/12.
You can sketch the angles and often tell just form looking at them if they are coterminal. Otherwise, for each angle do the following:
If the angle is positive, keep subtracting 360 from it until the result is between 0 and 360. (In radians, 360� = 2π radians)
If the angle is negative, keep adding 360 until the result is between 0 and 360. If the result is the same for both angles, they are coterminal.
2pi - (5/12)pi = (19/12)pi

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