Complex Numbers: Rectangular and Polar Forms
Numeric Exploration
Select a conversion type from the drop-down menu, then enter the required values in the input boxes displayed.
Press Enter to confirm and generate the two algebraic representations of the number, along with its position on the Argand-Gauss plane.
Geometric Exploration
Select an algebraic conversion, then drag the complex number in the Argand-Gauss plane.
Practice Zone
Use the app above to represent the complex number . Observe its rectangular and polar forms, then drag the point to represent the opposite of . How do the coefficients and the angle change?
Use the app above to represent a pure imaginary number. What can you say about the coefficients in its rectangular form and the angle in its polar form?