The number of values of $x$ in the interval $\left[ {0,\;\,5{\rm{\pi }}} \right]$ satisfying the equation $3\,\,{\sin ^2}x - 7\,\,\sin \,\,x + 2 = 0$ is

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

The number of values of

x

in the interval

\left[ {0,\;\,5\mathrm{\pi }} \right]

satisfying the equation

3\,\,{\sin ^2}x - 7\,\,\sin \,\,x + 2 = 0

View answer and explanation

Correct option: C

Option D (6) is correct because solving the trigonometric equation and considering the interval [0, 5

\pi

] yields 6 solutions.

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