Use the Figure to Find the Exact Value of the Trigonometric

Multiple Choice

Use the figure to find the exact value of the trigonometric function.
- $\sin \theta = \frac { 4 } { 5 } , \theta$ lies in quadrant II $\quad$ Find $\tan 2 \theta$ .

A) $\frac { 24 } { 7 }$
B) $- \frac { 24 } { 7 }$
C) $\frac { 24 } { 25 }$
D) $- \frac { 5 } { 7 }$