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If tan^(-1)x-cot^(-1)x=tan^(-1)(1/sqrt3)...

If `tan^(-1)x-cot^(-1)x=tan^(-1)(1/sqrt3)`, x > 0 find the value of x and hence find the value of `sec^(-1)(2/x)`

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Knowledge Check

  • If tan^(-1)(x+2)+tan^(-1)(x-2)-tan^(-1)(1/2)=0 , then one of the values of x is

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