Cube Roots of a Complex Number - With Sliders
- Author:
- James R Olsen
- Topic:
- Angles, Cube, Function Graph, Root
This worksheet graphs a number N, using sliders for the angle and modulus, and finds the 3 cube roots of N. The roots are are , , and .
Experiment: Manipulate N (click and drag) and see the relationships involving the 3 cube roots.
Uncheck the three boxes showing the values for the numbers.
Questions:
Q1. Move N so that the angle is 0 and the modulus is 1 (which is the real number 1). What are the values for the three cube roots:
- angle,
- modulus (distance from the origin).
- angle,
- modulus (distance from the origin), and
- a + bi.
- angle,
- modulus (distance from the origin)