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Solve the equations.2tan^(-1)(cosx)=tan^...

Solve the equations.`2tan^(-1)(cosx)=tan^(-1)(2cose c x)`

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`2tan^(-1)""(cosx)=tan^(-1)(2 " cosec " x)`
`implies tan^(-2)((2 cosx)/(1-cos^(2)x))=tan^(-2)(2 " cosec " x)`
`implies (2 cos x)/(sin^(2)x)=(2)/(sinx)`
`implies cot x=1 impliesx=(pi)/(4)`
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