Question

which trig function is this? sin cos tan

Explanation:

Step1: Recall trigonometric function definitions

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

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: Apply the tangent formula

Since \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\), for \(\theta = 20^{\circ}\), we have \(\tan20^{\circ}=\frac{x}{5}\).

Answer:

tan