Use identities to find the indicated value for each angle me

Use identities to find the indicated value for each angle measure. cos theta = 13/17, sin theta

Solution

Cos theta=15/17

Adjacent=15 and hypotenuse=17

Opposite=sqrt(17²-15²)= 8

and sin theta<0

Therefore theta is in fourth quadrant.

Sin theta= opposite/hypotenuse=-8/17

Sin 2theta=2sin theta cos theta =2(-8/17)(15/17)=-240/289

Correct option is B