Question

2Sin в квадрате X+3SinX=0

Answer 1

$2sin^2x+3sinx=0\\sinx(2sinx+3)=0\\\\ \left[\begin{array}{ccc}sinx=0\\2sinx+3=0\end{array}\right=\ \textgreater \ \left[\begin{array}{ccc}sinx=0\\sinx=-\frac{3}2,(sinx\in[-1;1])\end{array}\right=\ \textgreater \ sinx=0=\ \textgreater \ \\\\=\ \textgreater \ x=\pi n;n\in Z$