Question

given right triangle mno, which represents the value of cos(m)?
options:
$\frac{on}{mn}$
$\frac{mn}{mo}$
$\frac{on}{mo}$
$\frac{mn}{on}$
(diagram: right triangle mno with right angle at n, 50° at m, 40° at o)

Explanation:

Step1: Recall cosine definition

In a right triangle, $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle M$, adjacent side is $MN$, hypotenuse is $MO$.

Step2: Match with options

Check options: $\frac{MN}{MO}$ matches adjacent over hypotenuse for $\angle M$.

Answer:

$\frac{MN}{MO}$ (the second option: $\boldsymbol{\frac{MN}{MO}}$)