Question

$$\left. \begin{array} { l } { ( 1 + \tan \theta + \sec \theta ) ( 1 + \cot \theta - \operatorname { c o s e c } \theta ) } \\ { 10 } \end{array} \right.$$

Evaluate

$\frac{2\left(\sin(\theta )+\cos(\theta )+1\right)\left(-\sin(\theta )\cos(ec\theta )+\sin(\theta )+\cos(\theta )\right)}{\sin(2\theta )},\ 10$