Question

Sqrt3 sin x - sin (3П/2 +x) = 0

Answer 1

$\sqrt{3}Sinx - Sin( \frac{3 \pi }{2}+x)=0\\\\ \sqrt{3}Sinx+Cosx=0\\\\ \frac{ \sqrt{3}Sinx }{Cosx}+ \frac{Cosx}{Cosx}=0\\\\ \sqrt{3} tgx+1=0 \\\\tgx=-1\\\\x=arctg(- \frac{1}{ \sqrt{3} }) + \pi n\\\\ x= - \frac{ \pi }{6}+ \pi n$