Six Trigonometric Ratios

 $\frac{adjacent}{opposite}$  

 $\frac{opposite}{adjacent}$  

 $\frac{adjacent}{hypotenuse}$  

 $\frac{opposite}{hypotenuse}$  

 $\frac{adjacent}{hypotenuse}$  

 $\frac{opposite}{adjacent}$  

 $\frac{adjacent}{opposite}$  

 $\frac{opposite}{hypotenuse}$  

$\frac{6}{10}$

$\frac{6}{8}$

$\frac{8}{10}$

$\frac{8}{6}$

$\tan45\degree=\frac{x}{13}$

$\cos45\degree=\frac{x}{13}$

$\sin45\degree=\frac{13}{x}$

$\sin\ 45\degree=\frac{x}{13}$

8

15

17

$\sin\ Z=\frac{5}{13}$

$\sin\ X=\frac{5}{13}$

$\cos\ X=\frac{12}{13}$

$\tan\ Z=\frac{12}{5}$

$\frac{20}{12}$

$\frac{12}{20}$

$\frac{12}{16}$

$\frac{16}{12}$

 $\sin\ 29\degree=\frac{x}{91}$  

 $\tan\ 29\degree\ =\ \frac{91}{x}$ 

 $\cos\ 29\degree\ =\ \frac{x}{91}$ 

 $\tan\ 29\degree=\ \frac{x}{91}$