Learning Target: I can convert between rectangular and polar forms of complex numbers and find their powers and roots.
Chapter 9.6 & 9.8
Complex numbers are of the form a + bi, where "i" is the imaginary number and "a" and "b" are real values.
Helpful Hint: The coefficients "a" and "b" behave on the complex plane the same way that "x" and "y" do on the Cartesian (Rectangular) Plane.
What are some actual applications of complex numbers?
**DeMoivre's Theorem is used to find powers and roots of Complex Numbers. We use it because DeMoivre's Theorem (which uses the polar form of a complex number) is often quicker and more direct than trying to work with these numbers is rectangular (a + bi) form. Click the links below for some applications involving complex numbers where finding powers and roots may become necessary.
LT 17 Complex Numbers to Polar Form