Question

which shows the correct trig equation? tanθ = 38/18 cosθ = 38/18 cosθ = 18/38 sinθ = 18/38

Explanation:

Step1: Recall trigonometric ratios

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\), \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\), \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\).
For the given right - triangle with hypotenuse \(h = 38\), adjacent side to \(\theta\) is \(a=18\).

Step2: Calculate \(\cos\theta\)

Using the formula \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\), we substitute the values.
\(\cos\theta=\frac{18}{38}\)

Answer:

\(\cos\theta=\frac{18}{38}\) (the green option)