Question

решите уравнение tgx sin2x=0

Answer 1

ОДЗ: $cos xne 0;~~~Rightarrow~~~ xne pi/2+ pi n,n in mathbb{Z}$
$dfrac{sin x}{cos x}cdot 2sin xcos x=0\ 2sin^2x=0\ sin x=0\ \ boxed{x=pi k,k in mathbb{Z}}$