Answer
$\sin\alpha=\frac{a}{c}$
$\cos\alpha=\frac{b}{c}$
$\tan\alpha=\frac{a}{b}$
$\csc\alpha=\frac{c}{a}$
$\sec\alpha=\frac{c}{b}$
$\cot\alpha=\frac{b}{a}$
Work Step by Step
$\sin\alpha=\frac{opposite}{hypotenuse}=\frac{a}{c}$
$\cos\alpha=\frac{adjacent}{hypotenuse}=\frac{b}{c}$
$\tan\alpha=\frac{opposite}{adjacent}=\frac{a}{b}$
$\csc\alpha=\frac{hypotenuse}{opposite}=\frac{c}{a}$
$\sec\alpha=\frac{hypotenuse}{adjacent}=\frac{c}{b}$
$\cot\alpha=\frac{adjacent}{opposite}=\frac{b}{a}$