ACT Math Practice Question

For an angle with measure $\alpha$ in a right triangle, $\sin \alpha = \frac{5}{13}$ and $\tan \alpha = \frac{5}{12}$. What is the value of $\cos \alpha$?

1. A.$\frac{12}{13}$
2. B.$\frac{12}{\sqrt{194}}$
3. C.$\frac{12}{\sqrt{119}}$
4. D.$\frac{13}{12}$