Question

which trigonometric ratios are correct for triangle xyz? check all that apply. tan(y) = 8/15 cos(x) = 15/17 tan(x) = 15/8 sin(y) = 8/17 cos(y) = 8/17

Explanation:

Step1: Recall trig - ratio formulas

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$
For $\angle X$: $\sin(X)=\frac{15}{17}$, $\cos(X)=\frac{8}{17}$, $\tan(X)=\frac{15}{8}$
For $\angle Y$: $\sin(Y)=\frac{8}{17}$, $\cos(Y)=\frac{15}{17}$, $\tan(Y)=\frac{8}{15}$

Answer:

$\sin(Y)=\frac{8}{17}$, $\tan(X)=\frac{15}{8}$