Question

question
express cos p as a fraction in simplest terms.

Explanation:

Step1: Recall cosine ratio formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle P$, the adjacent side to $\angle P$ is $PO$ and the hypotenuse is $PN$.

Step2: Identify side lengths

We are given that $PO = 14$ and $PN=25$.

Step3: Calculate $\cos P$

Using the cosine formula, $\cos P=\frac{PO}{PN}=\frac{14}{25}$. Since 14 and 25 have no common factors other than 1, the fraction is in simplest terms.

Answer:

$\frac{14}{25}$