Question

express sin q as a fraction in simplest terms.
answer
attempt 1 out of 2
sin q =
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right triangle with right angle at p, po = 12, pq = 5, oq = 13

Explanation:

Step1: Recall Sine Definition

In a right triangle, $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify Sides for $\angle Q$

For $\angle Q$, the opposite side to $Q$ is $OP = 12$, and the hypotenuse is $OQ = 13$.

Step3: Calculate $\sin Q$

Using the sine formula: $\sin Q = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{12}{13}$.

Answer:

$\frac{12}{13}$