Function Name |
Abbreviation for Function Name |
Function Value for $\alpha$ |
sine |
sin |
$\sin(\alpha) = \frac ac$ |
cosine |
cos |
$\cos(\alpha) = \frac bc$ |
tangent |
tan |
$\tan(\alpha) = \frac ab$ |
cotangent |
cot |
$\cot(\alpha) = \frac ba$ |
secant |
sec |
$\sec(\alpha) = \frac cb$ |
cosecant |
csc |
$\csc(\alpha) = \frac ca$ |
$\Theta$ |
$0^{\circ}$ | $30^{\circ}$ | $45^{\circ}$ | $60^{\circ}$ | $90^{\circ}$ |
$\sin(\Theta)$ |
$0$ | $\frac 12$ |
$\frac 1{\sqrt{2}} = \frac {\sqrt{2}}2$ | $\frac {\sqrt{3}}2$ | $1$ |
$\cos(\Theta)$ | $1$ | $\frac {\sqrt{3}}2$ | $\frac 1{\sqrt{2}} = \frac {\sqrt{2}}2$ | $\frac 12$ | $0$ |
$\tan(\Theta)$ | $0$ | $\frac 1{\sqrt{3}} = \frac {\sqrt{3}}3$ | $1$ |
$\sqrt{3}$ | Undefined |
$\cot(\Theta)$ | Undefined |
$\sqrt{3}$ | $1$ |
$\frac 1{\sqrt{3}} = \frac {\sqrt{3}}3$ | $0$ |
$\sec(\Theta)$ | $1$ | $\frac 2{\sqrt{3}}= \frac {2\sqrt{3}}3$ | $\sqrt{2}$ | $2$ | Undefined |
$\csc(\Theta)$ | Undefined |
$2$ | $\sqrt{2}$ | $\frac 2{\sqrt{3}}= \frac {2\sqrt{3}}3$ | $1$ |