Zgjidh {l}{y=sinx}{y=3sin2x+pi/3}{y=5sin2x+pi/3}

$$\left. \begin{array} { l } { y = \sin x } \\ { y = 3 \sin 2 x + \frac { \pi } { 3 } } \\ { y = 5 \sin 2 x + \frac { \pi } { 3 } } \end{array} \right.$$

Gjej x, y (complex solution)

$$x=\frac{\pi n_{1}}{2}$$

$$n_{1}\in \mathrm{Z}$$

$$y = \frac{\pi}{3} = 1.0471975511965976$$

$$n_{1}\in \mathrm{Z}$$

$$\exists n_{3}\in \mathrm{Z}\text{ : }n_{1}=4n_{3}-\frac{2i\ln(\frac{i\sqrt{\pi ^{2}-9}+\pi i}{3})}{\pi }\text{ or }\exists n_{2}\in \mathrm{Z}\text{ : }n_{1}=4n_{2}-\frac{2i\ln(\frac{\pi i-i\sqrt{\pi ^{2}-9}}{3})}{\pi }$$