If , then is equal…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If x>y>0x>y>0, then tan⁡−1xy+tan⁡−1(x+yx−y)\tan^{-1}\frac{x}{y}+\tan^{-1}\left(\frac{x+y}{x-y}\right) is equal to: (a) −π4-\frac{\pi}{4} (b) π4\frac{\pi}{4} (c) 3π4\frac{3\pi}{4} (d) None of these

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