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If   A=cosθsinθsinθcosθ, then  A2 is

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a
cos2θsin2θsin2θcos2θ
b
cos2θsin2θsin2θcos2θ
c
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d
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detailed solution

Correct option is B

A=cosθsinθsinθcosθA2=cosθsinθsinθcosθ×cosθsinθsinθcosθ=cos2θsin2θcosθsinθcosθsinθsinθcosθ+cosθsinθsin2θ+cos2θ=cos2θsin2θsin2θcos2θ

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