Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
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) $- \frac { \sqrt { 5 } } { 5 }$
B) $- \frac { \sqrt { 30 } } { 10 }$
C) $\frac { \sqrt { 10 } } { 10 }$
D) $\frac { \sqrt { 5 } } { 5 }$