Answer
sin B = $\frac{2\sqrt {57}}{22}$ or $\frac{\sqrt {57}}{11}$
cos B = $\frac{16}{22}$ or $\frac{8}{11}$
tan B = $\frac{2\sqrt {57}}{16}$ or $\frac{\sqrt {57}}{8}$
Work Step by Step
Let's set up the trigonometric ratios.
The ratio for sine is:
sin θ = $\frac{opposite}{hypotenuse}$
The ratio for cosine is:
cos θ = $\frac{adjacent}{hypotenuse}$
The ratio for tangent is:
tan θ = $\frac{opposite}{adjacent}$
Let's plug in our values:
sin B = $\frac{2\sqrt {57}}{22}$ or $\frac{\sqrt {57}}{11}$
cos B = $\frac{16}{22}$ or $\frac{8}{11}$
tan B = $\frac{2\sqrt {57}}{16}$ or $\frac{\sqrt {57}}{8}$
