Answer
sin $A$ = $\frac{2\sqrt {19}}{20}$ or $\frac{\sqrt {19}}{10}$
cos $A$ = $\frac{18}{20}$ or $\frac{9}{10}$
tan $A$ = $\frac{2\sqrt {19}}{18}$ or $\frac{\sqrt {19}}{9}$
Work Step by Step
The trigonometric ratios we want to find are given below:
sin $A$ = $\frac{opposite}{hypotenuse}$
cos $A$ = $\frac{adjacent}{hypotenuse}$
tan $A$ = $\frac{opposite}{adjacent}$
Let's plug in values given for each of the sides:
sin $A$ = $\frac{2\sqrt {19}}{20}$ or $\frac{\sqrt {19}}{10}$
cos $A$ = $\frac{18}{20}$ or $\frac{9}{10}$
tan $A$ = $\frac{2\sqrt {19}}{18}$ or $\frac{\sqrt {19}}{9}$
