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If `tan^(-1)(x-1)/(x-2)+tan^(-1)(x+1)/(x+2)=pi/4`, then find the value of x.

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in Trigonometry by (123k points)
If `tan^(-1)(x-1)/(x-2)+tan^(-1)(x+1)/(x+2)=pi/4`, then find the value of x.
A. `(1)/(2)`
B. `pm(1)/(2)`
C. `pm(1)/(sqrt(2))`
D. `pmsqrt(2)`
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Correct Answer - C
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