Очень легкие уравнения по алгебре. ДАЮ 100 БАЛЛОВ!

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1)cos(π/6 - 5x/8) = -1 sin(5x/8+π/3)=-1 5x/8+π/3=-π/2+2πn,n∈z 5x/8=-5π/6+2πn,n∈z x=-4π/3+16πn/5,n∈z 2)sin(π/3+x)=√2/2 x+π/3=(-1)^n*π/4+πn,n∈z x=-π/3+(-1)^n*π/4+πn,n∈z 3)4sin²(x-π/6)+3sin(x-π/6)-1=0 sin(x-π/6)=a 4a²+3a-1=0 D=9+16=25 a1=(-3-5)/8=-1⇒sin(x-π/6)=-1⇔x-π/6=-π/2+2πn,n∈z⇒x=-π/3+2πn,n∈z a2=(-3+5)/8=1/4⇒sin(x-π/6)=1/4⇒x-π/6=(-1)^k*arcsin1/4+πk⇒ x=π/6+(-1)^k*arcsin1/4+πnk,k∈z