Question

question express sin o as a fraction in simplest terms.

Explanation:

Step1: Recall sine definition

In a right triangle, $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$. For $\angle O$, the opposite side to $\angle O$ is $MN = 5$, and the hypotenuse is $MO = 6$.

Step2: Apply the formula

Using the sine definition, $\sin(O) = \frac{\text{opposite to } O}{\text{hypotenuse}} = \frac{MN}{MO} = \frac{5}{6}$.

Answer:

$\frac{5}{6}$