If $ 0 < x < \pi $ and $ \cos x+\sin x=\frac{1}{2} $, then $ \tan \mathrm{x} $ is

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

0 < x < \pi

and

\cos x+\sin x=\frac{1}{2}

, then

\tan \mathrm{x}

View answer and explanation

Correct option: C

-\frac{(4+\sqrt{7})}{3}

Option C is correct because solving the trigonometric equation and considering the domain 0 < x < π leads to the correct value for tan x.

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\triangle A B C

C

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\sin ^2(A / 2)+\sin ^2(B / 2)-\sin ^2(C / 2)=