1. Flashback For Oblique Triangles If you are given: AAS or ASA- SSS-
SSA-
SAS-
What Law do you use to solve for the unknown pieces of information?
Which one has the ambiguous cases?

2. Chapter 6.5 Trigonometric Form of a Complex Number

3. The Complex Number
Imaginary Axis
Real Axis

4. Finding the Absolute Value of a Complex Number
Plot:
and find the absolute value:
Imaginary Axis
Real Axis

5. Trigonometric Form Of a Complex Number
Imaginary Axis
Real Axis

6. Write in Trigonometric Form
Imaginary Axis
Real Axis

7. Try #15 page 440

8. Writing a Complex Number in Standard Form
Write in
Standard Form

9. Multiplying Complex Numbers in Trigonometric Form
Find the product of the complex numbers

10. Dividing Complex Numbers in Trigonometric Form
Find the Quotient of the complex numbers

11. Powers of Complex Numbers
DeMoives Theorem
If is a complex number and n is a positive integer, then

12. Use DeMoive’s Theorem to find

13. Remember that an nth degree polynomial has at least one complex zero (root) and at most n complex zeros (roots).
A complex number also has n nth roots. For example,
has 3 cube roots. To find them you need to use this formula: for a complex number
The n distinct nth roots are given by
where k = 0, 1, 2, …, n - 1

14. Example: Find the 4 fourth roots of . If
the n distinct nth roots are given by
where k = 0, 1, 2, …, n - 1