Question

How do you simplify: sec^2(π/2-x)-1 ?

Answer 1

`cot^2x`

Explanation:

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`sec^2((pi)/2-x)-1=1/cos^2((pi)/2-x)-1=1/sin^2x-1=(1-sin^2x)/sin^2x=cos^2x/sin^2x=cot^2x`