Algebra & Equations
Polar → Rectangular Complex
Build a complex number from magnitude and angle.
Formula
Formula
z = r·cosθ + i·r·sinθ
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| r | magnitude | real number (ℝ) | — | input |
| θ | angle (degrees) | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenr = 2, θ (deg) = 60
Result1.0000000000000002 + 1.7320508075688772i
Example 2
Givenr = 1, θ (deg) = 90
Result6.123233995736766e-17 + 1i