Solve the Problem $\sin \frac { \theta } { 2 }$

Multiple Choice

Solve the problem.
-Find $\sin \frac { \theta } { 2 }$ , given that $\sin \theta = - \frac { 3 } { 5 }$ and $\theta$ terminates in $270 ^ { \circ } < \theta < 360 ^ { \circ }$ .

A) $- \frac { \sqrt { 5 } } { 5 }$

В) $- \frac { \sqrt { 30 } } { 10 }$

C) $\frac { \sqrt { 10 } } { 10 }$

D) $\frac { \sqrt { 5 } } { 5 }$