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Question

sec2θ+cosec2θ is equal to

A
sec2θ.cot2θ
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B
sec2θ.tan2θ
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C
cosec2θ.cot2θ
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D
sec2θ.cosec2θ
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Solution

The correct option is C sec2θ.cosec2θ
We know that sec2θ=1cos2θ and cosec2θ=1sin2θ

1cos2θ+1sin2θ=cos2θ+sin2θsin2θ.cos2θ

Also, we know that cos2θ+sin2θ=1

cos2θ+sin2θsin2θ.cos2θ=sec2θ.cosec2θ

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