Question

Решите уравнения:
а) $frac{2cosx+ sqrt{2}}{2sinx + sqrt{2} } =0$
б)$cos( frac{x}{2} - frac{ pi }{12)} (sin(x- frac{ pi }{3} )+1)=0$

Answer 1

a)cosx=-sqrt(2)/2
x=П+П/4+2Пk=5П/4+2Пk
x=3п/4+2Пk
sinx≠sqrt(2)/2
x≠-П/4+2Пk
x≠-3/4П+2Пk
x=3П/4+2пk
б)сos(x/2-П/12)=0
x/2-П/12=П/2+Пk
x/2=7п/12+Пk
x=7П/6+2Пk
sin(x-п/3)+1=0
sin(x-П/3)=-1
x-П/3=-П/2+2Пk
x=-П/6+2Пk