Question 934207: Complete the identity below:
(csc (x+1)(csc x-1)
__________________ = ?
cot^2 x Found 2 solutions by stanbon, gsmani_iyer:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! [(csc x+1)(csc x-1)] / cot^2 x = ?
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(csc^2(x)-1)/cot^2(x) = x
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Since csc^2(x) -1 = cot^2(x),
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cot^2(x)/cos^2(x) = 1
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Cheers,
Stan H.
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You can put this solution on YOUR website!
By simplification, the numerator equals csc^2 x - 1 which is equals to cot^2 x.
Therefore, (cot^2 x) upon (cot^2 x) = 1
I hope this is clear enough. Feel free to contact for further doubts.