Question

sin4x-cos4x=-sin4x решите задачу

Answer 1

$sin4x-cos 4x=-sin4x\ \ 2sin4x-cos 4x=0~~~|:cos 4xne0\ \ 2tg4x=1\ \ tg4x=0.5\ \ 4x=arctg0.5+pi n,n in mathbb{Z}\ \ boxed{x=0.25arctg0.5+0.25pi n,n in mathbb{Z}}$