Question

Решите sin3x+√3cos3x=0

Answer 1

$sin3x+sqrt{3}cos 3x=0|:cos 3x\ tg3x+sqrt{3}=0\ tg3x=-sqrt{3}\ 3x=-arctgsqrt{3}+ pi n,n in mathbb{Z}\ 3x=- frac{pi}{3} + pi n,n in mathbb{Z}\ \ boxed{x=- frac{pi}{9}+ frac{pi n}{3},n in mathbb{Z} }$