If tan^(-1)(cot x)=2x, then find x. Please reply fast. Its urgent.

We are giventan-1cot x=2xtan-1tanπ2-x=2x                                   As, tanπ2-x=cotxπ2-x=2x                                                     As, tan-1tan θ=θ3x=π2x=π6.

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