Solve the Problem $\sin \theta = - \frac { 4 } { 5 }$

Multiple Choice

Solve the problem.
-If $\sin \theta = - \frac { 4 } { 5 }$ , and $\frac { 3 \pi } { 2 } < \theta < 2 \pi$ , then find $\tan 2 \theta$ .

A) $\frac { 7 } { 24 }$

B) $- \frac { 24 } { 7 }$

C) $- \frac { 7 } { 24 }$

D) $\frac { 24 } { 7 }$