In a triangle

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

In a triangle ABCABC, if sin⁡Asin⁡(B−C)=sin⁡Csin⁡(A−B)\sin A\sin(B-C)=\sin C\sin(A-B), prove that cot⁡A\cot A, cot⁡B\cot B, and cot⁡C\cot C are in AP.

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