Question

√ 3 sin x/4 - cos x/4 = 0 

Answer 1

$sqrt3sinfrac{x}{4}-cosfrac{x}{4}=0; |:cosfrac{x}{4}ne 0\\sqrt3tgfrac{x}{4}-1=0\\tgfrac{x}{4}=frac{1}{sqrt3}\\frac{x}{4}=frac{pi}{6}+pi n; ,; nin Z\\x=frac{2pi}3+4pi n$