Asked by Vena

Verify (csc^2x-1)/cos^2x=csc^2x.
After making (csc^2x-1) into ((1/sin^2x)-1) and cos^2 into 1-sin^2x, what do I do next??
Answered by Vena
I did it wrong, nevermind.
Answered by Reiny
One of the identities you should know is
cot^2 x = csc^2 x - 1

then ...
LS = (csc^2x-1)/cos^2x
= cot^2 x / cos^2 x
= (cos^2 x/sin^2 x) / cos^2 x
= 1/sin^2 x
= csc^2 x
= RS
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