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sin3x=sinx
sinx(3-4sin²x)=sinx
sinx(2-4sin²x)=0
sinx=0
x=πk
2-4sin²x=0
(√2-2sinx)(√2+2sinx)=0
sinx=√2/2 ∨ sinx=-√2/2
x=π/4 + 2kπ ∨x=3π/4 + 2kπ ∨x=-π/4 + 2kπ ∨x=-3π/4 +2kπ
x=x0+kπ
gdzie x0∈{-π/4;0;π/4}; k∈C