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`2tan^(-1)(cosx)=tan^(-1)(2cosecx)`
`impliestan^(-1)((2cosx)/(1-cos^(2)x))=tan^(-1)(2cosecx)`
`implies(2cosx)/(sin^(2)x)=(2)/(sinx)`
`impliescotx=1`
`impliesx=(pi)/(4)`

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