Question

express sin q as a fraction in simplest terms.

Explanation:

Step1: Recall sine - ratio definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. For angle $Q$ in right - triangle $OPQ$, the side opposite to angle $Q$ is $OP = 12$ and the hypotenuse is $OQ=13$.

Step2: Calculate $\sin Q$

$\sin Q=\frac{OP}{OQ}=\frac{12}{13}$

Answer:

$\frac{12}{13}$