Question

which trig function is this? sin cos tan

Explanation:

Step1: Recall trigonometric function definitions

Trigonometric functions 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 the given angle

For the \(20^{\circ}\) angle, the side labeled \(x\) is the opposite side and the side labeled \(5\) is the adjacent side.

Step3: Match with trigonometric function formula

Since \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\), substituting \(\theta = 20^{\circ}\), opposite \(=x\) and adjacent \(=5\), we use the tangent function.

Answer:

\(\tan\)