Уравнение 1)sinx=√3/2 2)cosx=√2/2 3)2cosx-1=0 4) 2cosx+√2=0 5)tgx+√3=0 6)ctgx=√3 7)cosx=0.3 8)√2 sinx+1=0 9)2sinx+√3=0

[latex]1. sinx= \frac{ \sqrt{3} }{2} [/latex] [latex]x=(-1)^k* \frac{ \pi }{3} + \pi n[/latex] [latex]2. cosx= \frac{ \sqrt{2} }{2} [/latex] [latex]x= \frac{ \pi }{4} +2 \pi n[/latex] [latex]3. 2cosx-1=0[/latex] [latex]2cosx=1[/latex] [latex]cosx= \frac{1}{2} [/latex] [latex]x= \frac{ \pi }{3} +2 \pi n[/latex] [latex]4. 2cosx+ \sqrt{2} =0[/latex] [latex]cosx= \frac{ \sqrt{2} }{2} [/latex] [latex]x= \frac{5 \pi }{4} +2 \pi n[/latex] [latex]5. tgx+ \sqrt{3} =0[/latex] [latex]tgx=- \sqrt{3} [/latex] [latex]x= \frac{5 \pi }{3} + \pi n[/latex] [latex]ctgx= \sqrt{3} [/latex] [latex]x= \frac{ \pi }{6} + \pi n[/latex] [latex]7. cosx=0.3[/latex] [latex]x=arccos0.3+2 \pi n[/latex] [latex]8. \sqrt{2} sinx+1=0[/latex] [latex]sinx= \frac{ \sqrt{2} }{2} [/latex] [latex]x= \frac{5 \pi }{4}+ \pi n[/latex] [latex]9. sinx=- \sqrt{ 3} }/2[/latex] [latex]x= \frac{4 \pi }{3} + \pi n [/latex]