Решете y=-4sin(x+90)

$$y = - 4 \sin ( x + 90 )$$

Решаване за x (complex solution)

$$x=-90+\left(-i\right)\ln(\frac{1}{4}\left(\left(-i\right)y+i\left(\left(y+4\right)\left(y-4\right)\right)^{\frac{1}{2}}\right))+2\pi n_{16}\text{, }n_{16}\in \mathrm{Z}$$

$$x=-90+\left(-i\right)\ln(\left(-\frac{1}{4}i\right)y+\left(-\frac{1}{4}i\right)\left(\left(y+4\right)\left(y-4\right)\right)^{\frac{1}{2}})+2\pi n_{17}\text{, }n_{17}\in \mathrm{Z}$$

Решаване за y (complex solution)

$$y=2ie^{ix+90i}-2ie^{-ix-90i}$$

Решаване за x

$$x=-\arcsin(\frac{y}{4})+2\pi n_{58}-90\text{, }n_{58}\in \mathrm{Z}$$

$$x=\arcsin(\frac{y}{4})+2\pi n_{59}+\pi -90\text{, }n_{59}\in \mathrm{Z}\text{, }|y|\leq 4$$

Решаване за y

$$y=-4\sin(x+90)$$