If $0 < x < \pi$, and $\cos x+\sin x=1 / 2$, then $\tan x$ is

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

1 of 1

Application +4 | -1

0 < x < \pi

, and

\cos x+\sin x=1 / 2

, then

\tan x

View answer and explanation

Correct option: D

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

Option D (

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

) is correct because it is one of the solutions to the quadratic equation in

\tan x

derived from the given equation, and it satisfies the condition

0 < x < \pi

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C

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