Question

identifying trig ratios (no diagram)
question
in \\( \delta \mathrm{pqr} \\), the measure of \\( \angle \mathrm{r}=90^{\circ}, \mathrm{pr}= \\) 12, \\( \mathrm{rq}=35 \\), and \\( \mathrm{qp}=37 \\). what ratio represents the sine of \\( \angle \mathrm{p} \\)?
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Explanation:

Step1: Recall the definition of sine

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

Step2: Identify the sides relative to $\angle P$

For $\angle P$ in $\triangle PQR$ with $\angle R = 90^{\circ}$, the side opposite to $\angle P$ is $RQ = 35$, and the hypotenuse is $QP=37$.

Answer:

$\frac{35}{37}$