Solve for k
k=\sin(\alpha )+1
Solve for 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
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