The set of values of $x$ in $\left( { - \pi ,\pi } \right)$ satisfying the inequation $\left| {4\sin x - 1} \right| < \sqrt 5 $ is

$\left( { - \,\pi /10,\,\,\pi } \right)$

$\left( { - \,\pi ,\;\,3\pi /10} \right)$

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Hard

1 of 1

Application +4 | -1

The set of values of

x

\left( { - \pi ,\pi } \right)

satisfying the inequation

\left| {4\sin x - 1} \right| < \sqrt 5

View answer and explanation

Correct option: A

\left( { - \,\pi /10,\;\,3\pi /10} \right)

Option A

\left( { - \,\pi /10,\;\,\,3\pi /10} \right)

is correct because it represents the interval of

x

values that satisfy the inequality

\left| {4\sin x - 1} \right| < \sqrt 5

within the given range of

\left( { - \pi ,\pi } \right)