$C = 2 . \pi . r$

$\alpha = \dfrac{\mathbb{l}}{r}$



$\mathbb{l}=r \quad \Rightarrow \quad \alpha = 1$ radiano

$\dfrac{x}{180}=\dfrac{y}{\pi}$

$b^{2}=a.m $

$c^{2}=a.n $

$h^{2}=m.n $

$b.c=a.h $

$a^{2}=b^{2}+c^{2} $

$b^{2}=m^{2}+h^{2} $

$c^{2}=n^{2}+h^{2}$

$sen(\alpha) =\frac{cateto \ oposto}{hipotenusa}=\frac{b}{a}$


$sen(\beta) =\frac{cateto \ oposto}{hipotenusa}=\frac{c}{a}$


$cos(\alpha) =\frac{cateto \ adjacente}{hipotenusa}=\frac{c}{a}$


$cos(\beta) =\frac{cateto \ adjacente}{hipotenusa}=\frac{b}{a}$


$tg(\alpha) =\frac{cateto \ oposto}{cateto \ adjacente}=\frac{b}{c}$


$tg(\beta) =\frac{cateto \ oposto}{cateto \ adjacente}=\frac{c}{b}$


$cotg(\alpha) =\frac{1}{tg(\alpha)}=\frac{c}{b}$


$cotg(\beta) =\frac{1}{tg(\beta)}=\frac{b}{c}$


$sec(\alpha) =\frac{1}{cos(\alpha)}=\frac{a}{c}$


$sec(\beta) =\frac{1}{cos(\beta)}=\frac{a}{b}$


$cossec(\alpha) =\frac{1}{sen(\alpha)}=\frac{a}{b}$


$cossec(\beta) =\frac{1}{sen(\beta)}=\frac{a}{c}$

$f(x)=sen(x)$

$Dom(f)=\mathbb{R}$

$Im(f)=[-1,1]$

$f(x)=cos(x)$

$Dom(f)=\mathbb{R}$

$Im(f)=[-1,1]$

$f(x)=tg(x)$

$Dom(f)=\mathbb{R} - \left\{ \frac{\pi}{2}+k.\pi, \ k \in \mathbb{Z} \right\}$

$Im(f)=\mathbb{R}$

$f(x)=cotg(x)$

$Dom(f)=\mathbb{R} - \left\{ k.\pi, \ k \in \mathbb{Z} \right\}$

$Im(f)=\mathbb{R}$

$f(x)=sec(x)$

$Dom(f)=\mathbb{R} - \left\{ \frac{\pi}{2} + k.\pi, \ k \in \mathbb{Z} \right\}$

$Im(f)=\mathbb{R} - (-1, 1)$

$f(x)=cossec(x)$

$Dom(f)=\mathbb{R} - \left\{ k.\pi, \ k \in \mathbb{Z} \right\}$

$Im(f)=\mathbb{R} - (-1, 1)$