Riassunto matematica

goniometria

###Equivalenze gradi/radianti/seno/coseno/tangente
|Gradi|Radianti|Seno|Coseno|Tangente|
|:-:|:-:|:-:|:-:|:-:|
|$0°$|$0$|$0$|$1$|$0$|
|$90°$|$\frac{\pi}{2}$|$1$|$0$|$N.E.$|
|$180°$|$\pi$|$0$|$-1$|$0$|
|$270°$|$\frac32\pi$|$-1$|$0$|$N.E.$|
|$30°$|$\frac\pi6$|$\frac12$|$\frac{\sqrt3}{2}$|$\frac{\sqrt3}{3}$|
|$45°$|$\frac\pi4$|$\frac{\sqrt2}{2}$|$\frac{\sqrt2}{2}$|$1$|
|$60°$|$\frac\pi3$|$\frac{\sqrt3}{2}$|$\frac12$|$\sqrt3$|
|$360°$|$2\pi$|$0$|$1$|$0$|

###Teoremi triangoli rettangoli
![Triangolo rettangolo](http://i.imgur.com/hmTcoWL.png)

1. $C1 = i \cdot \sin\beta$
$C2 = i \cdot \sin\gamma $
2. $C1 = i \cdot \cos\gamma$
$C2 = i \cdot \cos\beta$
3. $C1 = C2 \cdot \tan\beta$
$C2 = C1 \cdot \tan\gamma$

###Teoremi triangoli qualsiasi
1. $\frac{a}{\sin\alpha} = \frac{b}{\sin\beta} = \frac{c}{\sin\gamma}$
2.  $a^2=b^2+c^2-2bc\cdot\cos\gamma$
$b^2=a^2+c^2-2ac\cdot\cos\beta$
$c^2=a^2+b^2-2ab\cdot\cos\gamma$