Question

question express cos m 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 $M$, the adjacent side to angle $M$ is $9$ and the hypotenuse is $15$.

Step2: Simplify the fraction

$\cos M=\frac{9}{15}$, and we can simplify $\frac{9}{15}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 3. So $\frac{9\div3}{15\div3}=\frac{3}{5}$.

Answer:

$\frac{3}{5}$