JEE MATHEMATICS MCQ: FUNCTIONS

1 Hard

1 of 1

Analyzing +4 | -1

Set of values of

x

lying in

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

satisfying the inequality

|\sin x|\, > 2{\sin ^2}x

contains

View answer and explanation

Correct option: A

\left( {\;0,\,\,\frac{\pi }{6}} \right)\,\, \cup \,\,\left( {\;\pi ,\,\frac{{7\pi }}{6}} \right)

Option A (

\left( {\;0,\,\frac{\pi }{{6}}} \right)\\ \cup \\ \left( {\;\pi ,\frac{{7\pi }}{{6}}} \right)

) is correct because it represents the intervals where the absolute value of sin x is between 0 and 1/2, excluding points where sin x is 0.

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