Title: Flashback
1Flashback
- 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?
2Chapter 6.5Trigonometric Form of a Complex
Number
3The Complex Number
Imaginary Axis
Real Axis
4Finding the Absolute Value of a Complex Number
- Plot
- and find the absolute value
Imaginary Axis
Real Axis
5Trigonometric Form Of a Complex Number
Imaginary Axis
Real Axis
6Write in Trigonometric
Form
Imaginary Axis
Real Axis
7Try 15 page 440
8Writing a Complex Number in Standard Form
9Multiplying Complex Numbers in Trigonometric Form
Find the product of the complex numbers
10Dividing Complex Numbers in Trigonometric Form
Find the Quotient of the complex numbers
11Powers of Complex Numbers
- DeMoives Theorem
- If is a
complex number and n is a positive integer, then
12Use DeMoives Theorem to find
13Remember 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
14Example Find the 4 fourth roots of . If
- the n distinct nth roots are given by
- where k 0, 1, 2, , n - 1