Using a Sum or Difference Identity, Write the Following as an Expression

Using a sum or difference identity, write the following as an expression involving functions of x.
-Find $\sin \frac { \theta } { 2 }$ , given that $\sin \theta = - \frac { 3 } { 5 }$ and $\theta$ terminates in $270 ^ { \circ } < \theta < 360 ^ { \circ }$ .

A) $- \frac { \sqrt { 30 } } { 10 }$
B) $\frac { \sqrt { 10 } } { 10 }$
C) $\frac { \sqrt { 5 } } { 5 }$
D) $- \frac { \sqrt { 5 } } { 5 }$

Correct Answer:

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