Math Full Courses - Complex Numbers in Trigonometry Full Course

http://www.greenemath.com/ In this lesson, we will learn how to work with complex numbers in trigonometry. We will begin with a general review of complex numbers, then we will learn how to convert a complex number from rectangular form a + bi to polar form r(cos θ + i sin θ). We will also learn how to graph complex numbers on the complex plane and find the sum visually. Afterwards, we will move into the product and quotient theorem for multiplying and dividing two complex numbers in polar form. Lastly, we will cover De Moivre's Theorem, which allows us to quickly find powers and roots of complex numbers. 0:00 Review of Complex Numbers 25:19 Finding the Polar Form of a Complex Number 54:44 Product and Quotient Theorems for Complex Numbers 1:33:16 De Moivre's Theorem for Roots and Powers of Complex Numbers