Question

решите уравнение: sin6x*cos6x=-1/2

Answer 1

$sin6x*cos6x=-0.5$
$0.5*(2*sin6x*cos6x)=-0.5$
$2*sin6x*cos6x=-1$
$sin(12x)=-1$
$12x=- frac{ pi }{2}+2 pi k$
$x=- frac{ pi }{24}+ frac{ pi k}{6}$, k∈Z