Sin^2x-5 cosx=sinx*cosx-5sinx

sin^2x-5 cosx=sinx*cosx-5sinxsin^2x — 5cosx — sinxcosx+5sinx=0sin^2x+5sinx — 5cosx — sinxcosx=0sinx (sinx+5) — cosx (5+sinx)=0 (sinx — cosx) (sinx+5)=0sinx — cosx=0 |: cosxtgx — 1=0tgx=1x=arctg1+pinx=pi/4+pin, n=Zsinx+5=0sinx=-5x=(-1) ^n*-arcsin5+pin, n=Z