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## Tabela funkcji trygonometrycznych
|rad|0|$\frac{\pi}{6}$|$\frac{\pi}{4}$|$\frac{\pi}{3}$|$\frac{\pi}{2}$|$\pi$|
|:-|-|-|-|-|-|-|
|deg|0°|30°|45°|60°|90°|180°|
|$\sin{\alpha}$|$0$|$\frac{1}{2}$|$\frac{1}{2}$|$\frac{1}{2}$|$1$|$0$|
|$\cos{\alpha}$|$1$|$\frac{\sqrt{3}}{2}$|$\frac{\sqrt{2}}{2}$|$\frac{1}{2}$|$0$|$-1$|
|$\tan{\alpha}$|$0$|$\frac{\sqrt{3}}{3}$|1|$\sqrt{3}$|$-$|$0$|
|$\cot{\alpha}$|$-$|$\sqrt{3}$|$1$|$\frac{\sqrt{3}}{3}$|$0$|$-$|
### Wersja png
![[Pasted image 20221021121924.png]]
## Wzór Moivre'a
$$z^{n =}r^n(\cos(n\phi)+i \sin(n\phi)),\ gdzie \ n\in\mathbb{N}\ oraz\ z\ne0$$
> [!NOTE] Zasadnicze Twierdzenie Algebry
> Każdy wielomian stopnia n o współczynnikach zespolonych ma n pierwiastków zespolonych