Question

fill in the blank. hint: remember sohcahtoa.

Explanation:

Step1: Recall SOH - CAH - TOA

SOH: $\sin(A)=\frac{\text{opposite}}{\text{hypotenuse}}$, CAH: $\cos(A)=\frac{\text{adjacent}}{\text{hypotenuse}}$, TOA: $\tan(A)=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify sides

For angle $A$, the opposite side is 3 and the adjacent side is 4.

Step3: Determine the trig - function

Since $\frac{\text{opposite}}{\text{adjacent}}=\frac{3}{4}$, the trigonometric function is $\tan$.

Answer:

$\tan$