The number of solutions of the equation ${2^{\cos x}} = \left| {\,\sin \,\,x\,} \right|$ in $\left[ { - 2\;\pi ,\,\,2\;\pi } \right]$, is

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

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Analyzing +4 | -1

The number of solutions of the equation

{2^{\cos x}} = \left| {\,\sin \,\,x\,} \right|

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

, is

View answer and explanation

Correct option: D

\mathrm{4}

Option D (4) is correct because the graphs of the two functions,

y = {2^{\cos x}}

and

y = \left| {\,\sin \,x\} \right|

, intersect at four points within the given interval

[-2\pi, 2\pi]

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