Question

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

Explanation:

Step1: Recall cosine ratio formula

$\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$

Step2: Identify adjacent and hypotenuse

For $\angle Z$, adjacent side is $YZ = 24$ and hypotenuse is $XZ=30$.

Step3: Calculate cosine value

$\cos Z=\frac{24}{30}$

Step4: Simplify the fraction

$\frac{24\div6}{30\div6}=\frac{4}{5}$

Answer:

$\frac{4}{5}$