Lutasin ang y=179sin(0.209440x-7.5)+81

$$y=179 \sin ( 0.209440x-7.5 ) +81$$

I-solve ang x (complex solution)

$$x=\frac{12500}{1309}\pi n_{1}+\frac{46875}{1309}+\left(-\frac{6250}{1309}i\right)\ln(\frac{1}{179}iy-\frac{81}{179}i+\left(-\frac{1}{179}i\right)\left(\left(-260+y\right)\left(98+y\right)\right)^{\frac{1}{2}})\text{, }n_{1}\in \mathrm{Z}$$

$$x=\frac{12500}{1309}\pi n_{2}+\frac{46875}{1309}+\left(-\frac{6250}{1309}i\right)\ln(\frac{1}{179}iy-\frac{81}{179}i+\frac{1}{179}i\left(\left(-260+y\right)\left(98+y\right)\right)^{\frac{1}{2}})\text{, }n_{2}\in \mathrm{Z}$$

I-solve ang y (complex solution)

$$y=-\frac{179ie^{\frac{1309ix}{6250}-7.5i}}{2}+\frac{179ie^{-\frac{1309ix}{6250}+7.5i}}{2}+81$$

I-solve ang x

$$x=\frac{46875}{1309}+\left(-\frac{6250}{1309}\right)\pi +\frac{12500}{1309}n_{57}\pi +\frac{6250}{1309}arcSin(\frac{81}{179}+\left(-\frac{1}{179}\right)y)\text{, }n_{57}\in \mathrm{Z}$$

$$x=\frac{46875}{1309}+\left(-\frac{6250}{1309}\right)arcSin(\frac{81}{179}+\left(-\frac{1}{179}\right)y)+\frac{12500}{1309}n_{56}\pi \text{, }n_{56}\in \mathrm{Z}$$

I-solve ang y

$$y=179\sin(\frac{1309x}{6250}-7.5)+81$$