SOLUTION: Verify that cot^2 x + sin^2 x=csc^2 x is an identity

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Question 331531: Verify that cot^2 x + sin^2 x=csc^2 x is an identity
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

Cot%5E2x+%2B+Sin%5E2x%22%22=%22%22Csc%5E2x

That is not an identity.  For example suppose x=45°, then
Cot%28%2245%B0%22%29=1 and so Cot%5E2%22%2845%B0%29%22=1%5E2=1
Sin%28%2245%B0%22%29=sqrt%282%29%2F2 and so Sin%5E2%28%2245%B0%22%29=2%2F4=1%2F2
Csc%5E2%22%2845%B0%29%22=1%2F%28Sin%2845%29%29%5E2=1%2F%281%2F2%29=1%2A%282%2F1%29=2

Substituting those in the original equation:

1%2B1%2F2%22%22=%22%222
1%261%2F2%22%22=%22%222

which is false.

Sorry.

Edwin