math135-a11-2011

math135-a11-2011 - z 9 + z 6 + z 3 + 1 = 0. 4. Find all the...

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Assignment 11 – Questions 1. Express the complex number (1 - 3 i ) 8 in standard form. 2. (a) Use De Moivre’s Theorem to prove that cos 4 θ = 8 cos 4 θ - 8 cos 2 θ + 1 sin 4 θ = 4 cos θ (sin θ - 2 sin 3 θ ) . (b) Calculate cos 4 θ if cos θ = 1 / 3. 3. Find all the complex solutions to
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Unformatted text preview: z 9 + z 6 + z 3 + 1 = 0. 4. Find all the solutions to z 4-3 z 2 + 4 = 0 for z C 5. Solve z 4 = 8 z for z C . Express your answers in the polar form re i . 1...
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This note was uploaded on 07/24/2011 for the course MATH 135 taught by Professor Andrewchilds during the Winter '08 term at Waterloo.

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