Given both $\theta$ and $\phi$ are acute angles and $\sin\theta=\large\frac{1}{2},$$\cos\phi=\large\frac{1}{3}$ then the value of $\theta+\phi$ belongs to

Question

$\begin{array}{1 1}(a)\;\big[\large\frac{\pi}{3},\frac{\pi}{2}\big]&(b)\;\big[\large\frac{\pi}{2},\frac{2\pi}{3}\big]\\(c)\;\big[\large\frac{2\pi}{3},\frac{5\pi}{6}\big]&(d)\;\big[\large\frac{5\pi}{6},\normalsize \pi\big]\end{array}$