Riješi y=2csc(2(x+pi/2))

$$y = 2 \csc ( 2 ( x + \frac { \pi } { 2 } ) )$$

Riješite za x (complex solution)

$$x=\left(-\frac{1}{2}\right)\pi +\left(-\frac{1}{2}i\right)\ln(2iy^{-1}+\left(-i\right)y^{-1}\left(\left(-1\right)y^{2}+4\right)^{\frac{1}{2}})+\pi n_{36}\text{, }n_{36}\in \mathrm{Z}$$

$$x=\left(-\frac{1}{2}\right)\pi +\left(-\frac{1}{2}i\right)\ln(2iy^{-1}+iy^{-1}\left(\left(-1\right)y^{2}+4\right)^{\frac{1}{2}})+\pi n_{37}\text{, }n_{37}\in \mathrm{Z}$$

Riješite za y (complex solution)

$$y=\frac{4ie^{2ix+\pi i}}{2i\sin(2x)e^{2ix}}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }x=\frac{\pi n_{1}}{2}-\frac{\pi }{2}\text{ and }\nexists n_{2}\in \mathrm{Z}\text{ : }x=\frac{\pi n_{2}}{2}$$

Riješite za y

$$y=-\frac{2}{\sin(2x)}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }x=\frac{\pi n_{1}}{2}$$