Question

Prove that tan^2theta+cot^2theta+2=cosec^2theta sec^2theta.

Answer 1

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Answer 2

Answer:

tan^2θ + cot^2θ + 2 = sec^2θ . cosec^2θ

L.H.S

Sin^4θ+cos^4θ+2sin^2θcos^2θ/sin^2θcos^2θ

(Sinθ+cosθ^2)2/sin^2θcos^2θ

=(1)2/sin^2θcos^2θ

Cosec^2θsec^2θ

RHS=Cosec^2θsec^2θ

LHS=RHS