6.5 Trigonometric Form of a Complex number De Moivres theorem.

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Presentation transcript:

6.5 Trigonometric Form of a Complex number De Moivres theorem

Graph the Complex number 2+3 i On a Complex Plane

Absolute Value of the Complex number 4+3 i On a Complex Plane

Trigonometric Form of a Complex Number Given: a + b i r is called the Modulus θ is the Argument

Writing a Complex number in Trigonometric form Point:

Writing a Complex number in Trigonometric form Point:

Writing a Complex number in Trigonometric form Point:

Writing a Complex number in Trigonometric form Point:

Product and Quotient of two Complex Numbers

Find the product

Find the quotient

Power of Complex Numbers De Moivres Theorem

Power of Complex Numbers Solve

Power of Complex Numbers Solve

N th Roots of a Complex Number Where k = 0, 1, 2, …., n - 1

Find the Cube roots of 1000 K = 0, 1, 2..(3-1) done

Homework Page 457 – 459 #1, 9, 17, 25, 33, 41, 49, 57, 65, 77, 85, 93, 101, 109

Homework Page 457 – 459 # 5, 13, 21, 29, 37, 45, 53, 61, 73, 81, 89, 97, 105, 113 I got the Power!!!

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