Trigonometry

Trigonometric Circle

0° ( 0π )

30° ( π/6 )

45° ( π/4 )

60° ( π/3 )

90° ( π/2 )

120° ( 2π/3 )

135° ( 3π/4 )

180° ( π )

240° ( 4π/3 )

360° ( 2π )

Trigonometric Table

% of circle	Angle θ	cos(θ)	sin(θ)
0≃ 0	0° (0π)	$\frac{\sqrt{4}}{2}$ ≃ 1	$\frac{\sqrt{0}}{2}$ ≃ 0
1/12≃ 0.08	30° (π/6≃ 0.52)	$\frac{\sqrt{3}}{2}$ ≃ 0.87	$\frac{\sqrt{1}}{2}$ ≃ 0.5
1/8≃ 0.13	45° (π/4≃ 0.79)	$\frac{\sqrt{2}}{2}$ ≃ 0.71	$\frac{\sqrt{2}}{2}$ ≃ 0.71
1/6≃ 0.17	60° (π/3≃ 1.05)	$\frac{\sqrt{1}}{2}$ ≃ 0.5	$\frac{\sqrt{3}}{2}$ ≃ 0.87
1/4≃ 0.25	90° (π/2≃ 1.57)	$\frac{\sqrt{0}}{2}$ ≃ 0	$\frac{\sqrt{4}}{2}$ ≃ 1
1/3≃ 0.33	120° (2π/3≃ 2.09)	$\frac{-\sqrt{1}}{2}$ ≃ -0.5	$\frac{\sqrt{3}}{2}$ ≃ 0.87
1/2≃ 0.5	180° (π≃ 3.14)	$\frac{-\sqrt{4}}{2}$ ≃ -1	$\frac{\sqrt{0}}{2}$ ≃ 0
1≃ 1	360° (2π≃ 6.28)	$\frac{\sqrt{4}}{2}$ ≃ 1	$\frac{\sqrt{0}}{2}$ ≃ 0

sin(θ) =

\frac{opposite}{hypotenuse}

csc(θ) =

\frac{hypotenuse}{opposite}

cos(θ) =

\frac{adjacent}{hypotenuse}

sec(θ) =

\frac{hypotenuse}{adjacent}

tan(θ) =

\frac{opposite}{adjacent}

cot(θ) =

\frac{adjacent}{opposite}

TODO

checkbox Add levels of complexity (Basic, Medium, Advanced, Full), for now it's always really complicated.

checkbox Make different blocs being usable in different cheat sheets (i.e trigonometric derivates can be used in derivatives cheat sheet).