1. 8.3 Polar Form of Complex Numbers

2. Complex #: a + bi
Where a is the real number part and bi is the imaginary number part.

3. Complex Plane
Graph:
2 + 3i
3 – 2i
Think about it like: (2,3i)
(3,-2i)

4. Distance between point and the origin
Absolute Value of a complex number z = a + bi (modulus) is:
Distance between point and the origin
Pythagorean Theorem

5. Find modulus:
3 + 4i i

6. If z = a + bi and we connect that point to the origin, we get:

7. Therefore:

8. Write in polar form:
1 + i
3 + 4i

9. Write in polar form:

10. Express in rectangular form (keep going!)

11. Homework
pg 603 #1-7, even