The number of values of $x$ lying in the interval $\left( { - \,{\rm{\pi }},\,{\rm{\pi }}} \right)$ which satisfy the equation ${8^{(1 + |\cos x| + {{\cos }^2}x + |{{\cos }^3}x| + ...\infty )}}\,\, = {4^3}$, is

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

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Analyzing +4 | -1

The number of values of

x

lying in the interval

\left( { - \,\mathrm{\pi },\,\mathrm{\pi }} \right)

which satisfy the equation

{8^{(1 + |\cos x| + {{\cos }^2}x + |{{\cos }^3}x| + ...\infty )}}\,\, = {4^3}

, is

View answer and explanation

Correct option: B

Option B (4) is correct because there are four solutions for x in the interval (-

\pi

\pi

) that satisfy the given equation.

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