Find the maximum and minimum values of the following expression $3\cos\theta+5\sin (\theta-\large\frac{\pi}{6})$

Question

$\begin{array}{1 1}(A)\;Y_{max}=\sqrt {19},Y_{min}=-\sqrt{19}\\(B)\;Y_{max}=\sqrt {17},Y_{min}=-\sqrt{17}\\(C)\;Y_{max}=\sqrt {13},Y_{min}=-\sqrt{13}\\(D)\;Y_{max}=\sqrt {21},Y_{min}=-\sqrt{21}\end{array} $