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Trigonometric Ratio and Identites question

2019 · 12 Jan · Shift 1 · Q36

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2019 · 12 Jan · Shift 1 · Q36

Trigonometric Ratio and Identites question

2019 · 12 Jan · Shift 1 · Q36

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

The maximum value of 3cos

\theta

+ 5sin

\left( {\theta - {\pi \over 6}} \right)

for any real value of

\theta

is :

A
$\sqrt {34}$
B
$\sqrt {31}$
C
$\sqrt {19}$
D
${{\sqrt {79} } \over 2}$

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