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Math notes/Pre-Calculus/Trigonometry

Values at 30, 45 and 60 Degrees — Essentials

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The values

	$30^\circ = \dfrac{\pi}{6}$	$45^\circ = \dfrac{\pi}{4}$	$60^\circ = \dfrac{\pi}{3}$
$\sin$	$\dfrac{1}{2}$	$\dfrac{1}{\sqrt{2}}$	$\dfrac{\sqrt{3}}{2}$
$\cos$	$\dfrac{\sqrt{3}}{2}$	$\dfrac{1}{\sqrt{2}}$	$\dfrac{1}{2}$
$\tan$	$\dfrac{1}{\sqrt{3}}$	$1$	$\sqrt{3}$

Cot, sec and csc: flip tan, cos and sin. The $30^\circ$ and $60^\circ$ columns are each other reversed.

Safety net

Triangle	Sides
30-60-90	$x$ , $x\sqrt{3}$ , $2x$
45-45-90	$x$ , $x$ , $x\sqrt{2}$