Question

express \\( \cos x \\) as a fraction in simplest terms.
(image of right triangle xwv with right angle at w, xw = 3, wv = 4, xv = 5)
answer
\\( \cos x \\) input box

Explanation:

Step1: Recall cosine definition

In a right triangle, $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$ for angle $\theta$.

Step2: Identify sides for $\angle X$

For $\angle X$, adjacent side (to $\angle X$) is $XW = 3$, hypotenuse is $XV = 5$.

Step3: Calculate $\cos X$

Using the definition, $\cos X = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{3}{5}$.

Answer:

$\frac{3}{5}$