basic

Complex Number — Polar to Rectangular Calculator

Convert r∠θ → a + b·i.

Convert a complex number from polar form r∠θ (with θ in degrees) to rectangular form a + b·i, where a = r·cos(θ) and b = r·sin(θ).

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

a = r · cos(θ); b = r · sin(θ).

In depth

Convert a complex number from polar form r∠θ (with θ in degrees) to rectangular form a + b·i, where a = r·cos(θ) and b = r·sin(θ).