Answered: Express the complex numbers in the form…

Express the complex numbers in the form x + iy. Show all your work and please answer a, b, & c as they are part of the same question a) e^(iπ/4) b) e^(−(π/4)i+ln 2) c) e^(−2πi) + e^(4πi)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.5: Trigonometric Form For Complex Numbers

Problem 26E

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Question

Q2. Express the complex numbers in the form x + iy. Show all your work and please answer a, b, & c as they are part of the same question

a) e^(iπ/4)

b) e^(−(π/4)i+ln 2)

c) e^(−2πi) + e^(4πi)

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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