Mathematics

Mathematics

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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