Mathematics

Problem

The maximum value of

3\cos\theta + 5\sin\left(\theta - \frac{\pi}{6}\right)

for any real value of

\theta

is : [JEE-MAIN ONLINE-2019] (1)

\sqrt{19}

(2)

\frac{\sqrt{79}}{2}

(3)

\sqrt{31}

(4)

\sqrt{34}