Question

question 3
5 pts
find the value of the trigonometric ratio in reduced form.
sin z
sin z=

Explanation:

Step1: Recall sine ratio formula

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Identify opposite and hypotenuse for $\angle Z$

For $\angle Z$, opposite side to $\angle Z$ is $XY = 24$ and hypotenuse $XZ=40$.

Step3: Calculate $\sin Z$

$\sin Z=\frac{XY}{XZ}=\frac{24}{40}$

Step4: Simplify the fraction

$\frac{24\div8}{40\div8}=\frac{3}{5}$

Answer:

$\frac{3}{5}$