Complex Number Calculator
Enter two complex numbers in rectangular or polar form to compare the four arithmetic operations.
Angles are measured counterclockwise in degrees. Inputs are limited to 1,000,000,000 in magnitude and 360,000° in angle.
Results
Difference
Magnitude: · Principal argument:Product
Magnitude: · Principal argument:Quotient
Magnitude: · Principal argument:Division by zero is undefined.
A QUICK WALKTHROUGH
How to use this tool
- Choose rectangular a + bi input or polar magnitude and angle input.
- Enter both complex numbers.
- Review sums, differences, products, quotients, and polar conversions.
Two equivalent forms
Rectangular form is a + bi. Polar form is magnitude ∠ angle, with the angle in degrees. Results include rectangular values and the corresponding magnitude and principal argument.
Zero and division by zero
The argument of zero is undefined. When the second complex number is zero, addition, subtraction, and multiplication remain available, while the quotient is reported as undefined.
GOOD TO KNOW
Common questions
Which operations are included?
Addition, subtraction, multiplication, and division of two complex numbers.
How is the angle measured?
In degrees counterclockwise from the positive real axis, within the principal range -180° to 180°.