Rozwiąż c=350sin(314t+157)+650

$$c = 350 \sin ( 314 t + 157 ) + 650$$

Rozwiąż względem c (complex solution)

$$c=650+175ie^{-314it-157i}-175ie^{314it+157i}$$

Rozwiąż względem t (complex solution)

$$t=-\frac{i\ln(\frac{i\sqrt{c^{2}-1300c+300000}}{350}+\frac{ic}{350}-\frac{13}{7}i)}{314}+\frac{\pi n_{1}}{157}-\frac{1}{2}\text{, }n_{1}\in \mathrm{Z}$$

$$t=-\frac{i\ln(-\frac{i\sqrt{c^{2}-1300c+300000}}{350}+\frac{ic}{350}-\frac{13}{7}i)}{314}+\frac{\pi n_{2}}{157}-\frac{1}{2}\text{, }n_{2}\in \mathrm{Z}$$

Rozwiąż względem c

$$c=50\left(7\sin(157\left(2t+1\right))+13\right)$$

Rozwiąż względem t

$$t=\frac{-\arcsin(\frac{650-c}{350})+2\pi n_{1}-157}{314}\text{, }n_{1}\in \mathrm{Z}$$

$$t=\frac{\arcsin(\frac{650-c}{350})+2\pi n_{2}+\pi -157}{314}\text{, }n_{2}\in \mathrm{Z}\text{, }c\geq 300\text{ and }c\leq 1000$$