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If cosθ=12x+1x then 12x2+1x2 is equal to

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a
sin 2θ
b
cos 2θ
c
tan 2θ
d
None of these

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detailed solution

Correct option is B

Given that, cosθ=12x+1x

x+1x=2cosθ----i

We know that,

x2+1x2=x+1x22=(2cosθ)22=4cos2θ2=2cos2θ12x2+1x2=12×2cos2θ=cos2θ

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