ແກ້ສຳລັບ x (complex solution)
x=-\frac{i\ln(\frac{i\sqrt{y^{2}-225}+iy}{15})}{5}+\frac{2\pi n_{1}}{5}+\frac{2\pi }{25}\text{, }n_{1}\in \mathrm{Z}
x=-\frac{i\ln(\frac{-i\sqrt{y^{2}-225}+iy}{15})}{5}+\frac{2\pi n_{2}}{5}+\frac{2\pi }{25}\text{, }n_{2}\in \mathrm{Z}
ແກ້ສຳລັບ y (complex solution)
y=\frac{15ie^{-5ix+\frac{2i\pi }{5}}-15ie^{5ix-\frac{2i\pi }{5}}}{2}
ແກ້ສຳລັບ x
x=\frac{2}{5}\pi n_{24}+\left(-\frac{1}{5}\right)arcSin(\frac{1}{15}y)+\frac{7}{25}\pi \text{, }n_{24}\in \mathrm{Z}
x=\frac{2}{25}\pi +\frac{1}{5}arcSin(\frac{1}{15}y)+\frac{2}{5}\pi n_{25}\text{, }n_{25}\in \mathrm{Z}
ແກ້ສຳລັບ y
y=15\sin(\frac{25x-2\pi }{5})
Graph
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