Argument and Principal Value (arg(z) from tan⁻¹(y/x) with quadrant; Arg(z) in (−π, π])
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arg(z) from tan⁻¹(y/x) with quadrant; Arg(z) in (−π, π]
What each symbol means
| Symbol | What it stands for |
|---|---|
| z | Non-zero z = x + iy |
| Arg(z) | Principal argument in (−π, π] |
| arg(z) | General argument = Arg(z) + 2kπ |
When to use this
z ≠ 0. Use quadrant to fix θ; atan2(y,x) avoids x = 0 division issue.