Answer:
[tex]-\frac{120}{169}[/tex]
Step-by-step explanation:
Given
[tex]cos\theta=\frac{5}{13},-\frac{3\pi}{2}<\theta<2\pi\\sin(2\theta)=?[/tex]
Use identities
[tex]sin(2\theta)=2sin\theta cos\theta\\\\sin(2\theta)=2(-\frac{12}{13})(\frac{5}{13})\\ \\sin(2\theta)=2(-\frac{60}{169})\\ \\sin(2\theta)=-\frac{120}{169}[/tex]
