Given and , compute the exact value of…

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

Problem

Given sec⁡β=−135\sec\beta=-\dfrac{13}{5} and π<β<3π2\pi<\beta<\tfrac{3\pi}{2}, compute the exact value of sin⁡βcos⁡β+tan⁡2β\sin\beta\cos\beta + \tan^{2}\beta.

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