JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

If sum of all the solutions of the equation

8 \cos x\left(\cos \left(\frac{\pi}{6}+x\right) \cos \left(\frac{\pi}{6}-x\right)-\frac{1}{2}\right)=1

[0, \pi]

{k} \pi

, then

{k}

is equal to:

View answer and explanation

Correct option: C

\frac{13}{9}

The value of k is 13/9. This is found by simplifying the trigonometric equation, solving for x, and summing the solutions in the given interval.

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