JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

If 1 lies between the roots of

3 x^2-3(\sin ) \theta x-2 \cos ^2 \theta=0

then complete set of values of

\sin \theta

View answer and explanation

Correct option: C

\frac{1}{2} < \sin \theta < 1

Option C (

\frac{{1}}{{2}} < \sin \theta < 1

) is correct because when 1 lies between the roots, f(1) < 0, which leads to the given range for

\sin \theta

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