If and , then…

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

If 0<x<π0<x<\pi and cos⁡x+sin⁡x=12\cos x+\sin x=\frac12, then tan⁡x\tan x is (1) 4−73\frac{4-\sqrt7}{3} (2) −4+73-\frac{4+\sqrt7}{3} (3) 1+74\frac{1+\sqrt7}{4} (4) 1−74\frac{1-\sqrt7}{4}

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