Part A

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 35E
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Part A

1
(a)
(1)
Calculate the modulus and argument of the complex number 1+i.
(ii)
Using your answer to (a)(i) or otherwise, write down all three solutions of
the equation z' = 1+i.
(b)
Use De Moivre's theorem to find an expression for cos 40 in terms of sin 0 only.
Transcribed Image Text:1 (a) (1) Calculate the modulus and argument of the complex number 1+i. (ii) Using your answer to (a)(i) or otherwise, write down all three solutions of the equation z' = 1+i. (b) Use De Moivre's theorem to find an expression for cos 40 in terms of sin 0 only.
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