Косинус(х+пи/6)=корень из2/2

[latex]cos(x+ frac{pi}{6})= frac{ sqrt{2} }{2} \ x+frac{pi}{6}=-frac{pi}{4}+2pi k = extgreater x=- frac{5pi}{12}+2pi k \ x+frac{pi}{6}=frac{pi}{4}+2pi n= extgreater x= frac{pi}{12}+2pi n[/latex]Ответ: [latex]- frac{5pi}{12}+2pi k; frac{pi}{12}+2pi n, ~~k, nin mathbb{Z}[/latex]