Question

ПОМОГИТЕ РЕШИТЬ!!!
3sin(x/3)-sqrt(3)cos(x/3)=3

Answer 1

$3sin (frac{x}{3})-sqrt{3}cos(frac{x}{3})=3$
$frac{sqrt{3}}{2}sin(frac{x}{3})-frac{1}{2}cos(frac{x}{3})=frac{sqrt{3}}{2}$
$cos frac{pi}{6}sin(frac{x}{3})-sin frac{pi}{6}cos(frac{x}{3})=frac{sqrt{3}}{2}$
$sin(frac{x}{3}-frac{pi}{6})=frac{sqrt{3}}{2}$
$frac{x}{3}-frac{pi}{6}=(-1)^k*frac{pi}{3}+pi*k$
, k є Z
$x=frac{pi}{2}+(-1)^k*pi+3*pi*k$
k є Z