Solve the following equations:

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Solve the following equations: (i) tan⁡−1(x−1x−2)+tan⁡−1(x+1x+2)=π4\tan^{-1}\left(\frac{x-1}{x-2}\right)+\tan^{-1}\left(\frac{x+1}{x+2}\right)=\frac\pi4 (ii) tan⁡−1(2x)+tan⁡−1(3x)=π4\tan^{-1}(2x)+\tan^{-1}(3x)=\frac\pi4

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