Q.

cotθcot3θ is equal to 

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a

2sinθ sin3θ

b

2cosθ cos3θ

c

2cosθ cosec3θ

d

2sinθ cosec3θ

answer is C.

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Detailed Solution

cotθcot3θ=cosθsin3θsinθcos3θsinθsin3θ=sin2θsinθsin3θ=2cosθcosec3θ.

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