Question

express cos f as a fraction in simplest terms.

Explanation:

Step1: Recall cosine ratio in right - triangle

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle F$, the adjacent side to $\angle F$ is $FG = \sqrt{42}$ and the hypotenuse is $FH=15$.

Step2: Write the cosine value

$\cos F=\frac{\sqrt{42}}{15}$. Since $\sqrt{42}$ and $15$ have no common factors other than 1, this fraction is in simplest terms.

Answer:

$\frac{\sqrt{42}}{15}$