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??
2 answers
I did it wrong, nevermind.
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
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