Question

which trig function is this? tan cos sin

Explanation:

Step1: Recall trigonometric function definitions

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\), \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\), \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\).

Step2: Identify sides relative to \(\theta\)

The adjacent side to \(\theta\) is \(18\), and the hypotenuse is \(38\).

Step3: Match with function formula

Since we have \(\frac{\text{adjacent}}{\text{hypotenuse}}\), which is the formula for \(\cos\theta\) (\(\cos\theta=\frac{18}{38}\)).

Answer:

\(\cos\)