Risolvi y=12sin(2x-628)+4

$$y = 12 \sin ( 2 x - 628 ) + 4$$

Trova x (soluzione complessa)

$$x=-\frac{i\ln(\frac{i\sqrt{y^{2}-8y-128}}{12}+\frac{iy}{12}-\frac{1}{3}i)}{2}+\pi n_{1}+314\text{, }n_{1}\in \mathrm{Z}$$

$$x=-\frac{i\ln(-\frac{i\sqrt{y^{2}-8y-128}}{12}+\frac{iy}{12}-\frac{1}{3}i)}{2}+\pi n_{2}+314\text{, }n_{2}\in \mathrm{Z}$$

Trova y (soluzione complessa)

$$y=4+6ie^{-2ix+628i}-6ie^{2ix-628i}$$

Trova x

$$x=\frac{-\arcsin(\frac{4-y}{12})+2\pi n_{1}+628}{2}\text{, }n_{1}\in \mathrm{Z}$$

$$x=\frac{\arcsin(\frac{4-y}{12})+2\pi n_{2}+628-\pi }{2}\text{, }n_{2}\in \mathrm{Z}$$

Trova y

$$y=4\left(3\sin(2\left(x-314\right))+1\right)$$