Question

given right triangle pqr, which represents the value of sin(p)?
o $\frac{rp}{rq}$
o $\frac{rp}{pq}$
o $\frac{rq}{pq}$
o $\frac{rq}{pr}$

Explanation:

Step1: Recall sine - definition

In a right - triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Step2: Identify sides for angle P

For angle $P$ in right - triangle $PQR$, the side opposite angle $P$ is $RQ$, and the hypotenuse is $PQ$.

Step3: Write the sine formula for angle P

$\sin(P)=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{RQ}{PQ}$

Answer:

$\frac{RQ}{PQ}$