JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

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Analyzing +4 | -1

The arithmetic mean of the roots of the equation

4{\cos ^3}x - 4{\cos ^2}x - \cos \left( {315\,\pi + x} \right) = 1

in the interval

\left( {\mathrm{0, 315}} \right)

is equal to

View answer and explanation

Correct option: B

\mathrm{51}\,\mathrm{\pi }

Option B (

\mathrm{51}\,\mathrm{\pi }

) is correct because it is the arithmetic mean of the roots of the given equation within the specified interval.

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