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Trigonometric Functions and Equations question

2024 · 9 Apr · Shift 1 · Q36

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JEE Main
Mathematics
Trigonometric Functions and Equations
2024 · 9 Apr · Shift 1 · Q36

Trigonometric Functions and Equations question

2024 · 9 Apr · Shift 1 · Q36

JEE MainMathematicsTrigonometric Functions and EquationsMCQ+4 / −1

Let

|\cos \theta \cos (60-\theta) \cos (60+\theta)| \leq \frac{1}{8}, \theta \epsilon[0,2 \pi]

. Then, the sum of all

\theta \in[0,2 \pi]

, where

\cos 3 \theta

attains its maximum value, is :

A
$6 \pi$
B
$9 \pi$
C
$18 \pi$
D
$15 \pi$

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