given right triangle pqr, which represents the value of sin(p)?\n○ $\frac{rp}{rq}$\n○ $\frac{rp}{pq}$\n○…
given right triangle pqr, which represents the value of sin(p)?\n○ $\frac{rp}{rq}$\n○ $\frac{rp}{pq}$\n○ $\frac{rq}{pq}$\n○ $\frac{rq}{pr}$
Answer
Explanation:
Step1: Recall sine - ratio 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 opposite side and hypotenuse 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
By the definition of sine, $\sin(P)=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{RQ}{PQ}$.
Answer:
$\frac{RQ}{PQ}$