Question

prove that ( tan theta + cot Theta ) square = sec square theta + cosec square theta = sec square . cosec square theta
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Answer 1

Step-by-step explanation:

(tanθ+cotθ)^2=sec^2θ+cosec^2θ

L.H.S (tanθ+cotθ)^2

= tan^2θ+cot^2θ+2tanθcotθ

=sec^2θ−1+cosec^2θ−1+2tanθ 1/tanθ

=sec^2θ+cosec^2θ−2+2

=sec^2θ+cosec^2θ

=R.H.S.