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Question

Prove the following trignometric identities:

(sec2θ1)(cosec2θ1)=1

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Solution

We know that,

sec2θ tan2θ = 1

cosec2θ cot2θ = 1

So,

(sec2θ1)(cosec2θ1)
= tan2θ cot2θ

=(tanθ cotθ)2

= (tanθ ×1tanθ)2

= 12 = 1


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