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

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

0 < x < \pi

and

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

, then

\tan x

is equal to

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because it is the value of

\tan x

calculated using the given equation and the half-angle formula.

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\sin \,\,x\,\,\;cos\,\,3x = \sin \,\,3x\,\,\cos \,\,5x

\left[ {0,\;\,\frac{\pi }{2}} \right]

\left( {x,\,y} \right)

x,\,\,y \in \left[ {0,10} \right]

\left( {\sqrt {{{\sin }^2} - \sin \,\,x + \frac{1}{2}} } \right){2^{{{\sec }^2}y}}\,\, \cdot \,\, \le 1

\mathrm{X}

\theta \rightarrow \frac{\pi}{2}

\sin x+\cos x=\frac{\sqrt{7}}{2}

x \in\left[0, \frac{\pi}{4}\right]

\tan \frac{x}{2}

\tan \frac{\pi}{5}+2 \tan \frac{2 \pi}{5}+4 \cot \frac{4 \pi}{5}

{P}=10 {~kg}

60^{\circ}

20 {~kg}

\mu