Question

which trig function is this? cos sin tan

Explanation:

Step1: Recall trigonometric function definitions

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

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

For angle \(\theta\), the opposite side is \(8\) and the adjacent side is \(18\).

Step3: Match with function formula

Since \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}=\frac{8}{18}\), it matches the ratio of the given sides.

Answer:

\(\tan\)