AP

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

If tan⁡−1x−1x+2+tan⁡−1x+1x+2=π4\tan^{-1} \frac{x-1}{x+2} + \tan^{-1} \frac{x+1}{x+2} = \frac{\pi}{4} , then x=x = (a) 12\frac{1}{\sqrt{2}} (b) −12-\frac{1}{\sqrt{2}} (c) ±52\pm\sqrt{\frac{5}{2}} (d) ±12\pm\frac{1}{2}

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