Question

which trig function is this? cos sin tan

Explanation:

Step1: Recall trigonometric function definitions

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\), \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\), \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\).
For the given triangle, the side opposite to \(\theta\) is \(5\), and the hypotenuse is \(14\).

Step2: Match with function formula

Since \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{5}{14}\), this matches the formula for the sine function.

Answer:

\(\sin\)