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Question

Solve: 2tan1(cosx)=tan1(2cosecx)

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Solution

2tan1(cosx)=tan1(2cosecx)

tan1(2cosx1cos2x)=tan1(2cosecx)

2cosx1cos2x=2cosecx

2cosxsin2x=2sinx

cosx=sinx

tanx=1

x=π4

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