Question

$$\left. \begin{array} { l } { \frac { \sqrt { 288.4 } } { } } \\ { \quad \begin{array} { l } { \tan ( 180 ^ { \circ } - \theta ) \cdot \sin ( 90 ^ { \circ } + \theta ) + \cos ( 180 ^ { \circ } - \theta ) \cdot \sin \theta } \end{array} } \end{array} \right.$$

Evaluate

$\frac{\sqrt{7210}}{5},\ -2\sin(\theta )\left(\cos(\frac{\theta }{2})\right)^{2}$