Question

which trig function is this? tan sin cos

Explanation:

Step1: Recall trigonometric function definitions

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\), \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\), \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\).
For the given angle of \(20^{\circ}\), the side opposite is \(5\) and the hypotenuse is \(12\).

Step2: Apply the sine formula

Using \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\), we have \(\sin20^{\circ}=\frac{5}{12}\).

Answer:

\(\sin\)