# Trigonometric Ratios

$\DeclareMathOperator{\arccot}{arccot}$
$sin(0) = 0$
$cos(0) = 1$
$tan(0) = 0$

$sin(\frac{\pi}{6}) = \frac{1}{2}$
$cos(\frac{\pi}{6}) = \frac{\sqrt{3}}{2}$
$tan(\frac{\pi}{6}) = \frac{1}{\sqrt{3}}$

$sin(\frac{\pi}{4}) = \frac{1}{\sqrt{2}}$
$cos(\frac{\pi}{4}) = \frac{1}{\sqrt{2}}$
$tan(\frac{\pi}{4}) = 1$

$sin(\frac{\pi}{3}) = \frac{\sqrt{3}}{2}$
$cos(\frac{\pi}{3}) = \frac{1}{2}$
$tan(\frac{\pi}{3}) = \sqrt{3}$

$sin(\frac{\pi}{2}) = 1$
$cos(\frac{\pi}{2}) = 0$
$tan(\frac{\pi}{2}) = \infty$

$sin(\pi) = 0$
$cos(\pi) = 1$
$tan(\pi) = 0$

$sin(\frac{3\pi}{2}) = -1$
$cos(\frac{3\pi}{2}) = 0$
$tan(\frac{3\pi}{2}) = \infty$

$sin(2\pi) = 0$
$cos(2\pi) = 1$
$tan(2\pi) = 0$
$sin(0^\circ) = 0$
$cos(0^\circ) = 1$
$tan(0^\circ) = 0$

$sin(30^\circ) = \frac{1}{2}$
$cos(30^\circ) = \frac{\sqrt{3}}{2}$
$tan(30^\circ) = \frac{1}{\sqrt{3}}$

$sin(45^\circ) = \frac{1}{\sqrt{2}}$
$cos(45^\circ) = \frac{1}{\sqrt{2}}$
$tan(45^\circ) = 1$

$sin(60^\circ) = \frac{\sqrt{3}}{2}$
$cos(60^\circ) = \frac{1}{2}$
$tan(60^\circ) = \sqrt{3}$

$sin(90^\circ) = 1$
$cos(90^\circ) = 0$
$tan(90^\circ) = \infty$

$sin(180^\circ) = 0$
$cos(180^\circ) = 1$
$tan(180^\circ) = 0$

$sin(270^\circ) = -1$
$cos(270^\circ) = 0$
$tan(270^\circ) = \infty$

$sin(360^\circ) = 0$
$cos(360^\circ) = 1$
$tan(360^\circ) = 0$