Question

express cos u as a fraction in simplest terms.
answer attempt 1 out of 2
cos u =

Explanation:

Step1: Recall cosine - ratio definition

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle U$ in right - triangle $TUS$ with right - angle at $T$, the adjacent side to $\angle U$ is $UT = 10$ and the hypotenuse is $US=15$.

Step2: Write the cosine value

$\cos U=\frac{UT}{US}=\frac{10}{15}$

Step3: Simplify the fraction

$\frac{10}{15}=\frac{2}{3}$ (divide both numerator and denominator by 5)

Answer:

$\frac{2}{3}$