x=4sin(2y+6) шешу

$$x = 4 \sin ( 2 y + 6 )$$

x мәнін табыңыз (complex solution)

$$x=2ie^{-2iy-6i}-2ie^{2iy+6i}$$

y мәнін табыңыз (complex solution)

$$y=-\frac{i\ln(\frac{i\sqrt{x^{2}-16}+ix}{4})}{2}+\pi n_{1}-3\text{, }n_{1}\in \mathrm{Z}$$

$$y=-\frac{i\ln(\frac{-i\sqrt{x^{2}-16}+ix}{4})}{2}+\pi n_{2}-3\text{, }n_{2}\in \mathrm{Z}$$

x мәнін табыңыз

$$x=4\sin(2\left(y+3\right))$$

y мәнін табыңыз

$$y=\frac{\arcsin(\frac{x}{4})+2\pi n_{1}-6}{2}\text{, }n_{1}\in \mathrm{Z}$$

$$y=\frac{-\arcsin(\frac{x}{4})+2\pi n_{2}+\pi -6}{2}\text{, }n_{2}\in \mathrm{Z}\text{, }|x|\leq 4$$