(2cosx+sinx)/(cosx-7sinx)=-1/2
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пропорцией:2(2cosx+sinx)=-1(cosx-7sinx)5cosx=5sinxsinx=cosxx=pi/4+pi*k

2(2cosx+sinx)=-(cosx-7sinx)4cosx+2sinx+cosx-7sinx=05cosx-5sinx=0cosx-sinx=0sinx-sin(π/2-x)=02sin(x-π/4)cosπ/4=0sin(x-π/4)=0x-π/4=πnx=π/4+πn