Solve for y (complex solution)
y=\left(-1\right)\left(\left(-i\right)\ln(\left(-i\right)f_{x}+\left(-i\right)\left(f_{x}^{2}-1\right)^{\frac{1}{2}})+2\pi n_{1}\right)^{\frac{1}{2}}\text{, }n_{1}\in \mathrm{Z}
y=\left(\left(-i\right)\ln(\left(-i\right)f_{x}+\left(-i\right)\left(f_{x}^{2}-1\right)^{\frac{1}{2}})+2\pi n_{1}\right)^{\frac{1}{2}}\text{, }n_{1}\in \mathrm{Z}
y=\left(-1\right)\left(\left(-i\right)\ln(\left(-i\right)f_{x}+i\left(f_{x}^{2}-1\right)^{\frac{1}{2}})+2\pi n_{5}\right)^{\frac{1}{2}}\text{, }n_{5}\in \mathrm{Z}
y=\left(\left(-i\right)\ln(\left(-i\right)f_{x}+i\left(f_{x}^{2}-1\right)^{\frac{1}{2}})+2\pi n_{5}\right)^{\frac{1}{2}}\text{, }n_{5}\in \mathrm{Z}
Solve for f_x
f_{x}=-\sin(y^{2})
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