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

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Answer 1 · 2017-01-26T19:48:40

see below

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

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