Flashback

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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?

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Chapter 6.5Trigonometric Form of a Complex
Number
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The Complex Number
Imaginary Axis
Real Axis
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Finding the Absolute Value of a Complex Number

• Plot
• and find the absolute value

Imaginary Axis
Real Axis
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Trigonometric Form Of a Complex Number
Imaginary Axis
Real Axis
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Write in Trigonometric
Form
Imaginary Axis
Real Axis
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Try 15 page 440
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Writing a Complex Number in Standard Form

• Write
  in
• Standard Form

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Multiplying Complex Numbers in Trigonometric Form
Find the product of the complex numbers
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Dividing Complex Numbers in Trigonometric Form
Find the Quotient of the complex numbers
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Powers of Complex Numbers

• DeMoives Theorem
• If is a
  complex number and n is a positive integer, then

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Use DeMoives Theorem to find
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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

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Example Find the 4 fourth roots of . If

• the n distinct nth roots are given by
• where k 0, 1, 2, , n - 1