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Question

Which of the following is a trigonometric identity?

A
1+sec2θ=tan2θ
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B
1+cosec2θ=cot2θ
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C
sin2θ=1cos2θ
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D
sin2θcos2θ=1
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Solution

The correct option is C sin2θ=1cos2θ
We know that,
sin2θ+cos2θ=1tan2θ+1=sec2θcot2θ+1=cosec2θ

sin2θ=1cos2θ

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