Solve for x (complex solution)
x=-\frac{2i\ln(\frac{i\sqrt{4y^{2}+52y+133}}{6}+\frac{iy}{3}+\frac{13}{6}i)}{\pi }+4n_{1}\text{, }n_{1}\in \mathrm{Z}
x=-\frac{2i\ln(-\frac{i\sqrt{4y^{2}+52y+133}}{6}+\frac{iy}{3}+\frac{13}{6}i)}{\pi }+4n_{2}\text{, }n_{2}\in \mathrm{Z}
Solve for y (complex solution)
y=\frac{6\sin(\frac{\pi x}{2})-13}{2}
Solve for x
x=2\left(\frac{\arcsin(\frac{2y+13}{6})}{\pi }+2n_{1}\right)\text{, }n_{1}\in \mathrm{Z}
x=2\left(-\frac{\arcsin(\frac{2y+13}{6})}{\pi }+2n_{2}+1\right)\text{, }n_{2}\in \mathrm{Z}\text{, }y\geq -\frac{19}{2}\text{ and }y\leq -\frac{7}{2}
Solve for y
y=3\sin(\frac{\pi x}{2})-6.5
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