Question

overview 1.4.35 1) for ∠x, label each side as opposite, adjacent, or the hypotenuse. 2) for ∠x, create trig ratios for sin, cos, and tan. drag & drop the labels opposite adjacent hypotenuse 18 24 30 note: use ctrl+ to drag the options via keyboard. sin(x) = \boxed{} \boxed{} cos(x) = \boxed{} \boxed{} tan(x) = \boxed{} \boxed{}

Explanation:

Step1: Identify sides for ∠X

Opposite=24, adjacent=18, hypotenuse=30

Step2: Calculate sin(X)

$\sin(X)=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{24}{30}$

Step3: Calculate cos(X)

$\cos(X)=\frac{\text{adjacent}}{\text{hypotenuse}}=\frac{18}{30}$

Step4: Calculate tan(X)

$\tan(X)=\frac{\text{opposite}}{\text{adjacent}}=\frac{24}{18}$

Answer:

$\sin(X)=\frac{24}{30}$, $\cos(X)=\frac{18}{30}$, $\tan(X)=\frac{24}{18}$