Question

Question #84512

Answer 1

Proof given below.

Explanation:

The Question is wrongly written. It should be:
Prove `(1-sec^2x)/csc^2x +1/sec^2x = 1-tan^2x`

So, starting with the LHS , it is

=`1/csc^2x -sec^2x/csc^2x +1/sec^2x`

= `sin^2x- sin^2x/cos^2x +cos^2x`

= `sin^2x +cos^2x -tan^2x`

=`1-tan^2x` =RHS