Perform the indicated operations and simplify the result so there are no quotients.
-$\tan \theta = \frac { 12 } { 5 } , \pi

Question

Perform the indicated operations and simplify the result so there are no quotients.
-$\tan \theta = \frac { 12 } { 5 } , \pi < \theta < \frac { 3 \pi } { 2 } \quad$ Find $\sin ( 2 \theta )$.
A) $\frac { 120 } { 169 }$
B) $- \frac { 119 } { 169 }$
C) $- \frac { 120 } { 169 }$

Quizplus · Accepted Answer

Using the double-angle formula for sine, we have:$$\sin(2	heta) = 2\sin	heta\cos	heta = 2\left(\frac{12}{5}ight)\left(\frac{5}{13}ight) = \frac{120}{169}$$

Perform the Indicated Operations and Simplify the Result So There tan⁡θ=125,π<θ<3π2\tan \theta = \frac { 12 } { 5 } , \pi < \theta < \frac { 3 \pi } { 2 } \quadtanθ=512​,π<θ<23π​

Perform the Indicated Operations and Simplify the Result So There $\tan \theta = \frac { 12 } { 5 } , \pi < \theta < \frac { 3 \pi } { 2 } \quad$