If , where are the sides of , then…

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

Problem

If tan⁡−1(bc+a)+tan⁡−1(ca+b)=π4\tan^{-1}\left(\frac{b}{c+a}\right) + \tan^{-1}\left(\frac{c}{a+b}\right) = \frac{\pi}{4}, where a,b,ca, b, c are the sides of ΔABC\Delta ABC, then ΔABC\Delta ABC is (1) Acute-angled triangle (2) Obtuse-angled triangle (3) Right-angled triangle (4) Equilateral triangle

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