express cos w as a fraction in simplest terms.
express cos w as a fraction in simplest terms.
Answer
Explanation:
Step1: Recall cosine - ratio definition
In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle W$, the adjacent side to $\angle W$ is $WX$ and the hypotenuse is $WY$.
Step2: Identify the sides' lengths
We are given that $WX = 18$ and $WY=30$.
Step3: Calculate $\cos W$
$\cos W=\frac{WX}{WY}=\frac{18}{30}$.
Step4: Simplify the fraction
$\frac{18}{30}=\frac{18\div6}{30\div6}=\frac{3}{5}$.
Answer:
$\frac{3}{5}$