If , , and are the angles of a triangle, prove that A+ B+ C=1+ r R…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If AA, BB, and CC are the angles of a triangle, prove that cos⁡A+cos⁡B+cos⁡C=1+rR.\cos A+\cos B+\cos C=1+\frac{r}{R}.

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