1+sin 2x — sin x=cosx

1+sin 2x — sin x=cosxsin^2x+2sinxcosx+cos^2x — sinx — cosx=0 (sinx+cosx) ^2 — (sinx+cosx)=0 (sinx+cosx)*(sinx+cosx — 1)=0 1) sin x+cos x=0tgx+1=0tgx=-1x=- pi/4+pik, k∈Z 2) sinx+cosx=1√2*sin (pi/4+x)=1sin (pi/4+x)=√2/2 pi/4+x=pi/4+2pikx=pi/4-pi/4+2pikx=2pik, k∈Z pi/4+x=3pi/4+2pikx=3pi/4-pi/4+2pikx=pi/2+2pik, k∈Z