1. ## Trig homework

hi im going through some past papers and im really struggling with this trig question.

prove that sec^2 x - cosec^2 x = tan^2 x - cot^x
cheers

2. Originally Posted by brooksy
hi im going through some past papers and im really struggling with this trig question.

prove that sec^2 x - cosec^2 x = tan^2 x - cot^x
cheers
$1+\tan^2x=\sec^2x$ and $1+\cot^2x=\csc^2x$

$LHS=\sec^2 x - \csc^2 x$

$=1+\tan^2x-1-\cot^2x=\tan^2 x - \cot^2x=RHS$

Note that csc is same as cosec