Complex inputs
Use real/imaginary fields or paste forms like 3+4i.
z₁
z₂
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z₁ snapshot
Rectangular
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Polar / cis
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Exponential
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Calculation steps appear here.
Choose nth roots or square roots.
Core formulas:
z = a + bi, |z| = √(a²+b²), arg(z)=atan2(b,a), z = r(cos θ + i sin θ)=reiθ.
De Moivre: zⁿ = rⁿ cis(nθ). nth roots: r1/n cis((θ+2πk)/n), k=0,…,n−1.
z = a + bi, |z| = √(a²+b²), arg(z)=atan2(b,a), z = r(cos θ + i sin θ)=reiθ.
De Moivre: zⁿ = rⁿ cis(nθ). nth roots: r1/n cis((θ+2πk)/n), k=0,…,n−1.