Ecuaciones clave

Ecuaciones clave

Ley de senos	$\begin{array}{l}\frac{\mathrm{sen}\alpha }{a}=\frac{\mathrm{sen}\beta }{b}=\frac{\mathrm{sen}\gamma }{c}\hfill \\ \frac{a}{\mathrm{sen}\alpha }=\frac{b}{\mathrm{sen}\beta }=\frac{c}{\mathrm{sen}\gamma }\hfill \end{array}$
Área para triángulos oblicuos	$\begin{array}{r}\hfill \text{Área}=\frac{1}{2}bc\mathrm{sen}\alpha \\ \hfill =\frac{1}{2}ac\mathrm{sen}\beta \\ \hfill =\frac{1}{2}ab\mathrm{sen}\gamma \end{array}$

Ley de cosenos	$\begin{array}{l}{a}^2=b^2+c^2-2bc\cos \alpha \hfill \\ b^2=a^2+c^2-2ac\cos \beta \hfill \\ c^2=a^2+b^2-2abcos\gamma \hfill \end{array}$
fórmula de Herón	$\begin{array}{l}\text{Área}=\sqrt{s(s-a)(s-b)(s-c)}\hfill \\ \text{donde }s=\frac{(a+b+c)}{2}\hfill \end{array}$

Fórmulas de conversión

$\begin{array}{ll}\hfill & \cos \theta =\frac{x}{r}\to x=r\cos \theta \hfill \\ \hfill & \mathrm{sen}\theta =\frac{y}{r}\to y=r\mathrm{sen}\theta \hfill \\ \hfill & r^2=x^2+y^2\hfill \\ \hfill & \tan \theta =\frac{y}{x}\hfill \end{array}$