SOLUTION: Express the value as a trigonometric function of an angle in Quadrant 1. cot([125pi]/[8])

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Question 1032963: Express the value as a trigonometric function of an angle in Quadrant 1.
cot([125pi]/[8])
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Express the value as a trigonometric function of an angle in Quadrant 1.
cot([125pi]/[8])
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Find the number of 2pi sets to subtract::
[125pi/8] / (2pi) = (125/16) = 7.8125
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125pi/8 - 7(2pi) = 1.625pi = 1 5/8 pi is in QIV where cot is negative
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reference angle = 2pi - 1 5/8 pi = 3/8 pi
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Ans: cot[(125/8)pi]-cot(3/8 pi)
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Cheers,
Stan H.
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