In any triangle

MATHEMATICS · Single correct · ISC · Mathematics · Sets and Functions · Sets and Functions

Problem

In any triangle ABCABC, if sin⁡A\sin A, sin⁡B\sin B, and sin⁡C\sin C are in A.P., then the maximum value of tan⁡B2\tan\frac{B}{2} is: (1) −13-\frac{1}{\sqrt{3}} (2) 13\frac{1}{\sqrt{3}} (3) 13\frac{1}{3} (4) None of these

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