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Questions  

cotθcot3θ is equal to 

a
2sin⁡θ sin⁡3θ
b
2cos⁡θ cos⁡3θ
c
2cos⁡θ cosec⁡3θ
d
2sin⁡θ cosec⁡3θ

detailed solution

Correct option is C

cot⁡θ−cot⁡3θ=cos⁡θsin⁡3θ−sin⁡θcos⁡3θsin⁡θsin⁡3θ=sin⁡2θsin⁡θsin⁡3θ=2cos⁡θcosec⁡3θ.

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