Question

sin в квадрате x+sinx*cosx=0

Answer 1

$sin^2x+sin xcos x=0\sin x(sin x+cos x)=0\1);sin x=0Rightarrow x=pi n,;ninmathbb{Z}\2);sin x+cos x=0Rightarrow sin x=-cos xRightarrow tgx=-1\x=frac{3pi}4+pi k,;kinmathbb{Z}$