Question

49 баллов,решительно пример срочно

1+cosx+√3cos x/2=0

Answer 1

$1+Cosx+sqrt{3}Cosfrac{x}{2}=0\\2Cos^{2}frac{x}{2}+sqrt{3}Cosfrac{x}{2}=0\\Cosfrac{x}{2}(2Cosfrac{x}{2}+sqrt{3})=0\\1)Cosfrac{x}{2}=0\\frac{x}{2}=frac{pi }{2}+pi n,nin z\\x_{1} =pi + 2pi n,nn z\\2)2Cosfrac{x}{2} +sqrt{3}=0$

$2Cosfrac{x}{2}=-sqrt{3}\\Cosfrac{x}{2}=-frac{sqrt{3} }{2} \\frac{x}{2}=pm arcCos(-frac{sqrt{3} }{2})+2pi n,nn z\\frac{x}{2} =pm (pi -arcCosfrac{sqrt{3} }{2})+2pi n,nin z\\frac{x}{2}=pm (pi-frac{pi }{6})+2pi n,nn z\\frac{x}{2}=pm frac{5pi }{6}+2pi n,nn z\\x_{2}=pm frac{5pi }{3}+4pi n,nin z$

Answer 2

Решение приложено

================================================