Complex numbers

Lab: trigonometric form and rotations

Convert coordinates, multiply or divide complex numbers and observe rotations and scaling. Play the animation or move the slider; you can also choose a centre other than the origin.

Path index · Read stage 4 · Review modulus and argument

Coordinates from −20 to 20; modulus and scale from 0 to 20. Integers, decimals up to three places and fractions of integers with up to six digits (nonzero denominator) are accepted. Angles from −360° to 360°, or π coefficients from −2 to 2. Edits update the steps immediately and reset the animation.

Problem statement