SOLUTION: I need to prove the identity (1+tan^2x)cot^2x=csc^2x

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Question 266343: I need to prove the identity (1+tan^2x)cot^2x=csc^2x
Found 2 solutions by Alan3354, Regrnoth:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(1+tan^2x)cot^2x=csc^2x
-----------------------
cot^2 + 1 = csc^2
Multiply by sin^2
cos^2 + sin^2 = 1
Is that sufficient?

Answer by Regrnoth(1) About Me  (Show Source):
You can put this solution on YOUR website!
(1+tan^2x)cot^2x=csc^2x
LHS:
(1+tan^2x)cot^2x=csc^2x
=sec^2x(cos^2x/sin^2x)
=1/cos^2x(cos^2x/sin^2x)
Cancel out the cos^2x
=1/sin^2x
=csc^2x

Therefore
LHS=RHS
csc^2x=csc^2x