Question

Sqrt3 sin^2+sinx cosx=0

Answer 1

$\sqrt{3} sin^2x+sinxcosx=0, \\ sinx( \sqrt{3} sinx+cosx)=0 \\ sinx=0, x= \pi k, \\ \sqrt{3} sinx+cosx=0, \sqrt{3} sinx=-cosx, /:cosx, \sqrt{3} tgx=-1, tgx= - \frac{ \sqrt{3} }{3} , \\ x= \frac{5 \pi }{6} + \pi n$ k,n ∈ Z.