Use the figure to find the exact value of the trigonometric function.
-$\tan \theta = \frac { 8 } { 15 } , \theta$ lies in quadrant III $\quad$ Find $\sin 2 \theta$
A) $\frac { 240 } { 289 }$
B) $- \frac { 161 } { 289 }$
C) $\frac { 161 } { 289 }$
D) $- \frac { 240 } { 289 }$

Question

Quizplus · Accepted Answer

The correct answer is A because $\sin 2 \theta = 2 \sin \theta \cos \theta = 2 \cdot \frac { 8 } { 15 } \cdot \frac { 15 } { 17 } = \frac { 240 } { 289 }$

Use the Figure to Find the Exact Value of the Trigonometric