[latex] \sqrt{3}-2sin \alpha [/latex]

[latex] \sqrt{3} -2sin[/latex]α=0 [latex]2sina= \sqrt{3} [/latex] [latex]sina= \frac{ \sqrt{3} }{2} [/latex] [latex]x=arcsin \frac{ \sqrt{3} }{2} +2 \pi n, n∈Z[/latex] [latex]x= \pi -arcsin \frac{ \sqrt{3}}{2} +2 \pin, n∈Z[/latex] [latex]x= \frac{ \pi}{3} +2 \pi n, n∈Z[/latex] [latex]x= \pi - \frac{ \pi }{3} +2 \pi n, n∈Z[/latex]