The Unit Circle — Essentials

ESSENTIALS · FREE

The points

Angle	Radians	$(\cos, \sin)$	$\tan$	$\cot$
$0^\circ$	$0$	$(1, 0)$	$0$	undefined
$90^\circ$	$\dfrac{\pi}{2}$	$(0, 1)$	undefined	$0$
$180^\circ$	$\pi$	$(-1, 0)$	$0$	undefined
$270^\circ$	$\dfrac{3\pi}{2}$	$(0, -1)$	undefined	$0$
$360^\circ$	$2\pi$	$(1, 0)$	$0$	undefined

The rule behind the table

Cosine is the first coordinate, sine the second. A zero on the bottom of a quotient means undefined: $\tan$ breaks where $\cos = 0$ ( $90^\circ$ , $270^\circ$ ), $\cot$ breaks where $\sin = 0$ ( $0^\circ$ , $180^\circ$ , $360^\circ$ ).