If the incircle of triangle passes through its circumcentre

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

Problem

If the incircle of triangle ABCABC passes through its circumcentre, then cos⁡A+cos⁡B+cos⁡C\cos A+\cos B+\cos C is (1) −2-2 (2) 2\sqrt{2} (3) −2-\sqrt{2} (4) None of these

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