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$\tan [2 T a n^{- 1} (\cos x)] =$

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2tanxcosx

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detailed solution

Correct option is C

We have tan2tan-1cosx=tantan-12cosx1-cos2x =2cosxsin2x =2cosecxcotx

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tan2Tan−1(cosx)=

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$\tan [2 T a n^{- 1} (\cos x)] =$