Question

consider △xyz. what are the ratios of sine, cosine, and tangent for angle y? sin(y) = xz/xy; cos(y) = yz/xy; tan(y) = xz/yz sin(y) = xz/xy; cos(y) = xy/yz; tan(y) = xz/yz sin(y) = xy/xz; cos(y) = xy/yz; tan(y)=yz/xz sin(y) = yz/xy; cos(y) = xz/xy; tan(y) = yz/xz

Explanation:

Step1: Recall trig - ratio definitions

In right - triangle XYZ with right - angle at Z, $\sin(Y)=\frac{XZ}{XY}$, $\cos(Y)=\frac{YZ}{XY}$, $\tan(Y)=\frac{XZ}{YZ}$.

Answer:

$\sin(Y)=\frac{XZ}{XY};\cos(Y)=\frac{YZ}{XY};\tan(Y)=\frac{XZ}{YZ}$