winkel aus tangens ermitteln

winkel aus tangens ermitteln

Mit Hilfe des Arkustangens kann ${\displaystyle \varphi }$ wie folgt  bestimmt werden:

${\displaystyle \varphi ={ \begin{cases} \arctan {(\frac {y}{x})}&\mathrm {f{\ddot {u}}r} \ x>0\\ \arctan {(\frac {y}{x})}+180^{\circ} &\mathrm {f{\ddot {u}}r} \ x<0,\ y\geq 0\\ \arctan {(\frac {y}{x})}-180^{\circ} &\mathrm {f{\ddot {u}}r} \ x<0,\ y<0\\ 90^{\circ} &\mathrm {f{\ddot {u}}r} \ x=0,\ y>0\\ 270^{\circ} &\mathrm {f{\ddot {u}}r} \ x=0,\ y<0\\ \end{cases}}}$

Thanks Heureka,

Or maybe just 

$If\\ tan \theta = 0.87\\ then\\ \theta = tan^{-1}(0.87)\\\text{Which can also be written as }\\\theta=atan(0.87)\\ $

atan(0.87) = 0.715991114416

Was? 

$tan^{-1}(0.87)=\frac{1}{tan(0.87)}=\frac{1}{1.18532..}=0.8465..$