Question

given right triangle mno, which represents the value of cos(m)?
○ \\(\frac{on}{mn}\\)
○ \\(\frac{mn}{mo}\\)
○ \\(\frac{on}{mo}\\)
○ \\(\frac{mn}{on}\\)

Explanation:

Step1: Recall cosine definition

For an acute angle in a right triangle, $\cos(\theta) = \frac{\text{adjacent side}}{\text{hypotenuse}}$.

Step2: Identify sides for $\angle M$

In $\triangle MNO$, right-angled at $N$:

• Adjacent side to $\angle M$: $MN$
• Hypotenuse: $MO$

Step3: Substitute into cosine formula

$\cos(M) = \frac{MN}{MO}$

Answer:

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