2*2sinxcosx-(cos^2x-sin^2x)=sin^2x+cos^2x 4sinxcosx-cos^2x+sin^2x-sin^2x-cos^2x=0 2cos^2x-4sinxcosx=0 2cosx(cosx-2sinx)=0 2cosx=0 cosx=0 x=pi/2+pik, k∈Z -2sinx+cosx=0 2sinx-cosx=0 /:cosx≠0 2tgx-1=0 tgx=1/2 x=arctg(1/2)+pik, k∈Z ОТВЕТ: x=pi/2+pik, k∈Z x=arctg(1/2)+pik, k∈Z