Complex Number to Rectangular Form Calculator
MathConvert a complex number from polar form (magnitude and phase) to rectangular form (a + bi).
Real Part (a)
The real part, r * cos(phi).
Imaginary Part (b)
1.000000
The imaginary part, r * sin(phi).
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Creators
Odeh Ahwal0people find this calculator helpful
Views
Helpful
Saved
Embeds
Math calculators
Frequently Asked Questions
How do I convert from polar to rectangular form?
Using a = r * cos(phi) and b = r * sin(phi), the same trigonometric relationship used to convert 2D polar coordinates to Cartesian coordinates.
Is this the same math as converting 2D polar coordinates?
Yes, a complex number's polar form (magnitude and phase) is mathematically identical to a point's polar coordinates (r and theta), just interpreted as a number instead of a location.
How is this different from the polar form calculator?
This calculator performs the opposite conversion: starting from magnitude and phase and finding the real and imaginary parts. The polar form calculator instead starts from the real and imaginary parts and finds the magnitude and phase.
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