Решить уравнения 1) cos(п/2+x)=√3/2 2) sin3x+1=0 3)3*tg x/4=√3 4)2cos^2x+^2cos x=0

[latex]1) cos( \frac{ \pi }{2} +x)= \frac{ \sqrt{3} }{2} [/latex] [latex] \frac{ \pi }{2} +x= \frac{ \pi }{6} +2 \pi n[/latex] [latex]x= \frac{ \pi }{6} - \frac{ \pi }{2} +2 \pi n[/latex] [latex]x=- \frac{ \pi }{3} +2 \pi n[/latex] [latex]2) sin3x+1=0[/latex] [latex]sin3x=-1[/latex] [latex]3x=- \frac{ \pi }{2} +2 \pi n[/latex] [latex]x=- \frac{ \pi }{6} + \frac{2 \pi }{3} n[/latex] [latex]3) 3tg \frac{x}{4} = \sqrt{3} [/latex] [latex]tg \frac{x}{4} = \frac{ \sqrt{3} }{3} [/latex] [latex]x= \frac{4 \pi }{6} +4 \pi n[/latex] [latex] \frac{x}{4} = \frac{ \pi }{6} + \pi n[/latex] [latex]4) 2cos^2x+2cosx=0[/latex] [latex]2cosx(cosx+1)=0[/latex] [latex]2cosx=0[/latex] [latex]cosx=0[/latex] [latex]x= \frac{ \pi }{2} + \pi n[/latex] [latex]cosx+1=0[/latex] [latex]cosx=-1[/latex] [latex]x= \pi +2 \pi n[/latex]