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Question

Solution of the equation 2tan1(cosx)=tan1(2cosecx) is


A


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B


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C


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D

None of these

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Solution

The correct option is B



2tan1(cosx)=tan1(2cosecx)
tan1(2cosx1cos2x)=tan12 cosecx
2cosx.cosec2x=2cosecx
cosecx(cotx1)=0cotx=1[cosecx0]
x=nπ+π4 n ϵ l


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