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