Riješi sinalpha=k-1

$$\sin \alpha = k - 1$$

Izračunaj α (complex solution)

$$\alpha =\left(-i\right)\ln(\left(-1\right)\left(\left(-i\right)k+i+\left(k\left(2+\left(-1\right)k\right)\right)^{\frac{1}{2}}\right))+2\pi n_{1}\text{, }n_{1}\in \mathrm{Z}$$

$$\alpha =\left(-i\right)\ln(ik-i+\left(k\left(2+\left(-1\right)k\right)\right)^{\frac{1}{2}})+2\pi n_{2}\text{, }n_{2}\in \mathrm{Z}$$

Izračunaj k

$$k=\sin(\alpha )+1$$

Izračunaj α

$$\alpha =\arcsin(1-k)+2\pi n_{1}+\pi \text{, }n_{1}\in \mathrm{Z}$$

$$\alpha =-\arcsin(1-k)+2\pi n_{2}\text{, }n_{2}\in \mathrm{Z}\text{, }k\geq 0\text{ and }k\leq 2$$