Resol x=cot(y)

$$x= \cot ( y )$$

Resoleu x

$$x=\cot(y)$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }y=\pi n_{1}$$

Resoleu y

$$y=2n_{3}\pi +\left(-1\right)\pi +ArcCosI(x\left(1+x^{2}\right)^{-\frac{1}{2}})\text{, }n_{3}\in \mathrm{Z}\text{, }\exists n_{362}\in \mathrm{Z}\text{ : }\left(n_{3}>\left(-\frac{1}{2}\right)\left(\left(-1\right)\pi +ArcCosI(x\left(1+x^{2}\right)^{-\frac{1}{2}})+\left(-1\right)\pi n_{362}\right)\pi ^{-1}\text{ and }n_{3}<\left(-\frac{1}{2}\right)\left(ArcCosI(x\left(1+x^{2}\right)^{-\frac{1}{2}})+\left(-2\right)\pi +\left(-1\right)\pi n_{362}\right)\pi ^{-1}\right)\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }2n_{3}\pi +\left(-1\right)\pi +ArcCosI(x\left(1+x^{2}\right)^{-\frac{1}{2}})=\pi n_{1}$$

$$y=ArcCosI(x\left(1+x^{2}\right)^{-\frac{1}{2}})+2\pi n_{341}\text{, }n_{341}\in \mathrm{Z}\text{, }\exists n_{362}\in \mathrm{Z}\text{ : }\left(ArcCosI(x\left(1+x^{2}\right)^{-\frac{1}{2}})+2\pi n_{341}>\pi n_{362}\text{ and }ArcCosI(x\left(1+x^{2}\right)^{-\frac{1}{2}})+2\pi n_{341}<\pi \left(n_{362}+1\right)\right)\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }ArcCosI(x\left(1+x^{2}\right)^{-\frac{1}{2}})+2\pi n_{341}=\pi n_{1}$$