Mathematics - Functions Question with Solution | TestHub

Let the range of the function $f(x)=\frac{1}{2+\sin 3x+\cos 3x},x\in \mathbb{R}$ be $[a,b]$. If $\alpha$ and $\beta$ are respectively the A.M. and the G.M. of $a$ and $b$, then $\frac{\alpha }{\beta }$ is equal to