SOLUTION: please help me verify the following identity verify the identity: csc x [csc x sin(-x)]= cot^2 x

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Question 293949: please help me verify the following identity
verify the identity: csc x [csc x sin(-x)]= cot^2 x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
please help me verify the following identity
verify the identity:
csc x [csc x sin(-x)]= cot^2 x
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Since sin(-x) = -sin(x) you get:
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csc x [csc x[-sin(x)]= cot^2 x
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csc x [-csc x[sin(x)]= cot^2 x
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csc(x)[-1] = cot^2(x)
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Note: Your problem is not an identity.
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Cheers,
Stan H.