Nach p auflösen
p=\tan(\theta )
\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}
Nach θ auflösen
\theta =2\pi n_{1}+\arcsin(\frac{p}{\sqrt{p^{2}+1}})+\pi \text{, }n_{1}\in \mathrm{Z}\text{, }\exists n_{3}\in \mathrm{Z}\text{ : }\left(n_{1}>\frac{2n_{3}-\frac{2\arcsin(\frac{p}{\sqrt{p^{2}+1}})}{\pi }-1}{4}\text{ and }n_{1}<\frac{2n_{3}-\frac{2\arcsin(\frac{p}{\sqrt{p^{2}+1}})}{\pi }+1}{4}\right)
\theta =2\pi n_{2}+\arcsin(\frac{p}{\sqrt{p^{2}+1}})\text{, }n_{2}\in \mathrm{Z}\text{, }\exists n_{3}\in \mathrm{Z}\text{ : }\left(n_{3}>\frac{4n_{2}+\frac{2\arcsin(\frac{p}{\sqrt{p^{2}+1}})}{\pi }-3}{2}\text{ and }n_{3}<\frac{4n_{2}+\frac{2\arcsin(\frac{p}{\sqrt{p^{2}+1}})}{\pi }-1}{2}\right)
Diagramm
Teilen
In die Zwischenablage kopiert
Beispiele
Quadratische Gleichung
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometrie
4 \sin \theta \cos \theta = 2 \sin \theta
Lineare Gleichung
y = 3x + 4
Arithmetisch
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultane Gleichung
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differenzierung
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Grenzwerte
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}