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Solve for `x :``tan^(-1)x+2cot^(-1)x=(2pi)/3`

Answer» `x=tantheta`
`x=cot(pi/2-theta)`
`cos^(-1)x=pi/2-theta=pi/2-tan^(-1)x`
`tan^(-1)x+2cot^(-1)x=tan^(-1)x+2tan^(-1)(sqrt(1-x^2))`
`tan^(-1)x+2(pi/2-tan^(-1)x)`
`pi-tan^(-1)x`
`2/3pi`


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