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

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

Discussion

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