Modulus and Argument of a Product (|z₁z₂| = |z₁||z₂|; arg(z₁z₂) = arg z₁ + arg z₂ (mod 2π))
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|z₁z₂| = |z₁||z₂|; arg(z₁z₂) = arg z₁ + arg z₂ (mod 2π)
What each symbol means
| Symbol | What it stands for |
|---|---|
| z_1, z_2 | Non-zero complex numbers for arg addition (or use principal with care) |
When to use this
Modulus identity always. Argument addition holds modulo 2π; for principal Arg, adjust into (−π, π].