Total number of solutions of $\cos x \cos 2 x \cos 3 x=\frac{1}{4}$ in $[0, \pi]$ is

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Total number of solutions of

\cos x \cos 2 x \cos 3 x=\frac{1}{4}

[0, \pi]

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Correct option: B

Option B (6) is correct because by simplifying the given trigonometric equation, we find that there are 6 solutions in the interval [0,

\pi

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\sin \,\,x\,\,\;cos\,\,3x = \sin \,\,3x\,\,\cos \,\,5x

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

\left( {x,\,y} \right)

x,\,\,y \in \left[ {0,10} \right]

\left( {\sqrt {{{\sin }^2} - \sin \,\,x + \frac{1}{2}} } \right){2^{{{\sec }^2}y}}\,\, \cdot \,\, \le 1

\mathrm{X}

\theta \rightarrow \frac{\pi}{2}

\sin x+\cos x=\frac{\sqrt{7}}{2}

x \in\left[0, \frac{\pi}{4}\right]

\tan \frac{x}{2}

\tan \frac{\pi}{5}+2 \tan \frac{2 \pi}{5}+4 \cot \frac{4 \pi}{5}

0 < x < \pi

\cos x+\sin x=\frac{1}{2}

\tan x