## Trigonometry (10th Edition)

c = 5 $\sin$$B = \frac{4}{5} \cos$$B$ = $\frac{3}{5}$ $\tan$$B = \frac{4}{3} \csc$$B$ = $\frac{5}{4}$ $\sec$$B = \frac{5}{3} \cot$$B$ = $\frac{3}{4}$
Pythagorean Theorem: c$^{2}$ = a$^{2}$ + b$^{2}$ c$^{2}$ = 3$^{2}$ + 4$^{2}$ c$^{2}$ = 9 + 16 c$^{2}$ = 25 c = $\sqrt 25$ c = 5 $\sin$$B = \frac{opposite}{hypotenuse} = \frac{b}{c} = \frac{4}{5} \cos$$B$ = $\frac{adjacent}{hypotenuse}$ = $\frac{a}{c}$ = $\frac{3}{5}$ $\tan$$B = \frac{opposite}{adjacent} = \frac{b}{a} = \frac{4}{3} \csc$$B$ = $\frac{hypotenuse}{opposite}$ = $\frac{c}{b}$ = $\frac{5}{4}$ $\sec$$B = \frac{hypotenuse}{adjacent} = \frac{c}{a} = \frac{5}{3} \cot$$B$ = $\frac{adjacent}{opposite}$ = $\frac{a}{b}$ = $\frac{3}{4}$