Outcomes
In this lesson you will learn
- the relationship between rectangular coordinates, (x, y), and polar coordinates, (r,
)
- to convert complex numbers in rectangular form to polar form
- to convert from polar form to rectangular form
- the meaning of r cis
By the end of this section students will be able to:
- represent complex numbers in a variety of ways
- apply operations on complex numbers both in rectangular and polar form
- construct and examine graphs in the complex and polar planes
- translate between polar and rectangular representation
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- complex numbers
- rectangular form of complex numbers
- the Pythagorean Theorem
- trigonometric relationships
- reference, or related, angles
- coterminal angles
- polar coordinates
- Argand diagrams
- how to find the length of position vectors