y=-3cos(3pi/2x-3/4pi) шешу

$$y = -3 \cos ( \frac{ 3 \pi }{ 2 } x- \frac{ 3 }{ 4 } \pi )$$

x мәнін табыңыз (complex solution)

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

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

y мәнін табыңыз (complex solution)

$$y=\frac{-3e^{\frac{3\pi ix}{2}-\frac{3\pi i}{4}}-3e^{-\frac{3\pi ix}{2}+\frac{3\pi i}{4}}}{2}$$

x мәнін табыңыз

$$x=\frac{-\frac{4\arccos(\frac{y}{3})}{\pi }+8n_{1}+7}{6}\text{, }n_{1}\in \mathrm{Z}$$

$$x=\frac{\frac{4\arccos(\frac{y}{3})}{\pi }+8n_{2}-1}{6}\text{, }n_{2}\in \mathrm{Z}\text{, }|y|\leq 3$$

y мәнін табыңыз

$$y=-3\cos(\frac{3\pi \left(2x-1\right)}{4})$$