Question

express cos m as a fraction in simplest terms.

Explanation:

Step1: Recall the cosine formula

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

Step2: Identify the lengths

We are given that $ML = 9$ and $MK=15$.

Step3: Calculate $\cos M$

Using the formula $\cos M=\frac{ML}{MK}$, substitute the values: $\cos M=\frac{9}{15}$. Then simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor, which is 3. So, $\frac{9\div3}{15\div3}=\frac{3}{5}$.

Answer:

$\frac{3}{5}$