Answer
sin A = $\frac{30}{78}$
cos A = $\frac{72}{78}$
tan A = $\frac{30}{72}$
sin B = $\frac{72}{78}$
cos B = $\frac{30}{72}$
tan B = $\frac{72}{30}$
Work Step by Step
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 find these ratios for both $\angle A$ and $\angle B$:
sin A = $\frac{30}{78}$
cos A = $\frac{72}{78}$
tan A = $\frac{30}{72}$
sin B = $\frac{72}{78}$
cos B = $\frac{30}{72}$
tan B = $\frac{72}{30}$
