given right triangle mno, which represents the value of cos(m)?\noptions:\n- $\frac{on}{mn}$\n…
given right triangle mno, which represents the value of cos(m)?\noptions:\n- $\frac{on}{mn}$\n- $\frac{mn}{mo}$\n- $\frac{on}{mo}$\n- $\frac{mn}{on}$
Answer
Explanation:
Step1: Recall cosine - ratio definition
In a right - triangle, for an acute angle $\theta$, $\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$.
Step2: Identify the adjacent side and hypotenuse for angle $M$
For angle $M$ in right - triangle $MNO$ with right - angle at $N$, the adjacent side to angle $M$ is $MN$ and the hypotenuse is $MO$.
Step3: Calculate $\cos(M)$
By the cosine ratio, $\cos(M)=\frac{MN}{MO}$.
Answer:
$\frac{MN}{MO}$