If $cosθ=\frac{\sqrt{3}}{2}$, then the value of $\frac{2-sin^2θ}{1-cot^2θ}+(sec^2 θ + cosec θ)$ is :

$\frac{25}{22}$ $\frac{59}{12}$ $-\frac{25}{22}$ $-\frac{59}{12}$

$\frac{59}{12}$