Lahenda y=log[tan(pi/2+x/2)]

$$y = \log [ \tan ( \frac { \pi } { 2 } + \frac { x } { 2 } ) ]$$

Lahendage ja leidke x

$$x=2arcSin(10^{y}\left(100^{y}+1\right)^{-\frac{1}{2}})+\pi +4\pi n_{24}\text{, }n_{24}\in \mathrm{Z}\text{, }\exists n_{63}\in \mathrm{Z}\text{ : }\left(n_{63}\text{bmod}2=0\text{ and }not(n_{24}<-\frac{1}{2}+\frac{1}{2}n_{63})\text{ and }not(n_{24}>\frac{1}{2}+\frac{1}{2}n_{63})\right)\text{ and }\exists n_{17}\in \mathrm{Z}\text{ : }\left(n_{17}\text{bmod}2=0\text{ and }not(n_{17}<-1+2n_{24})\text{ and }not(n_{17}>2n_{24})\right)$$

$$x=\left(-1\right)\left(\pi +\left(-2\right)arcSin(10^{y}\left(100^{y}+1\right)^{-\frac{1}{2}})+\left(-4\right)n_{43}\pi \right)\text{, }n_{43}\in \mathrm{Z}\text{, }\left(2n_{43}\text{bmod}2=1\text{ or }\exists n_{17}\in \mathrm{Z}\text{ : }\left(n_{17}\text{bmod}2=1\text{ and }not(n_{17}<-2+2n_{43})\text{ and }not(n_{17}>2n_{43}-1)\right)\right)\text{ and }\exists n_{63}\in \mathrm{Z}\text{ : }\left(n_{63}\text{bmod}2=1\text{ and }not(n_{43}<\frac{1}{2}n_{63})\text{ and }not(n_{43}>1+\frac{1}{2}n_{63})\right)$$

Lahendage ja leidke y

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

$$\exists n_{1}\in \mathrm{Z}\text{ : }\left(x>2\pi n_{1}+\pi \text{ and }x<2\pi n_{1}+2\pi \right)$$