Question

How do you verify the identity `sec^2(pi/2-x)-1=cot^2x`?

Answer 1

see below

Explanation:

Use the formulas `sec (pi/2 - x)=cscx` and `1+cot^2x = csc^2 x`

Therefore,
Left Hand Side:

`sec^2(pi/2-x)-1 = csc^2 x-1 = cot^2x=`Right Hand Side