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Trigonometric Ratio and Identites question

2025 · 23 Jan · Shift 2 · Q34

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2025 · 23 Jan · Shift 2 · Q34

Trigonometric Ratio and Identites question

2025 · 23 Jan · Shift 2 · Q34

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

Let the range of the function

f(x)=6+16 \cos x \cdot \cos \left(\frac{\pi}{3}-x\right) \cdot \cos \left(\frac{\pi}{3}+x\right) \cdot \sin 3 x \cdot \cos 6 x, x \in \mathbf{R}

be

[\alpha, \beta]

. Then the distance of the point

(\alpha, \beta)

from the line

3 x+4 y+12=0

is :

A
11
B
10
C
8
D
9

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