Question

which trig function is this? sin cos tan

Explanation:

Step1: Recall trigonometric function definitions

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

Step2: Match with function formula

Since \(\sin20^{\circ}=\frac{5}{12}\) (using \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\))

Answer:

\(\sin\)