The number of values of $x$ in $\left[ {0,\;\,2\pi } \right]$ satisfying the equation $3\,\,\cos \,\,2x - 10\,\,\cos \,\,x + 7 = 0$ is

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

The number of values of

x

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

satisfying the equation

3\,\,\cos \,\,2x - 10\,\,\cos \,\,x + 7 = 0

View answer and explanation

Correct option: D

\mathrm{4}

Option D (4) is correct because solving the trigonometric equation yields four solutions for x in the given interval [0, 2π].

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