Explanation Formula used: Let z = x + i y be a complex number , then e z = e x + i y = e x ( cos y + i sin y ) . Calculation: Note that Re { − 9 e − i π 3 } = 0 and Im { − 9 e − i π 3 } = − π 3 , thus x = 0 and y = − π 3 . Use formula and compute − 9 e − i π 3 as follows. − 9 e − i π 3 = − 9 { e 0 ( cos ( − π 3 ) + i sin ( − π 3 ) ) } = − 9 cos

Calculus, Early Transcendentals, Single Variable Loose-Leaf Edition Plus MyLab Math with Pearson eText - 18-Week Access Card Package

3rd Edition

ISBN: 9780136207764

Author: Briggs, William, Cochran, Lyle, Gillett, Bernard, SCHULZ, Eric

Publisher: PEARSON

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Chapter C, Problem 26E

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To compute: The complex expression −9e−iπ3.

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Chapter C, Problem 25E

Chapter C, Problem 27E

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Chapter C Solutions

Calculus, Early Transcendentals, Single Variable Loose-Leaf Edition Plus MyLab Math with Pearson eText - 18-Week Access Card Package

Ch. C - Prob. 11E Ch. C - Prob. 12E Ch. C - Prob. 13E Ch. C - Prob. 14E Ch. C - Prob. 15E Ch. C - Prob. 16E Ch. C - Prob. 17E Ch. C - Prob. 18E Ch. C - Prob. 19E Ch. C - Prob. 20E Ch. C - Eulers formula Evaluate the following expressions....Ch. C - Eulers formula Evaluate the following expressions....Ch. C - Prob. 23E Ch. C - Eulers formula Evaluate the following expressions....Ch. C - Eulers formula Evaluate the following expressions....Ch. C - Prob. 26E Ch. C - Prob. 27E Ch. C - Prob. 28E Ch. C - Prob. 29E Ch. C - Prob. 30E Ch. C - Prob. 31E Ch. C - Prob. 32E Ch. C - Prob. 33E Ch. C - Prob. 34E Ch. C - Prob. 35E Ch. C - Prob. 36E Ch. C - Prob. 37E Ch. C - Prob. 38E Ch. C - Prob. 39E Ch. C - Prob. 40E Ch. C - Prob. 41E Ch. C - Prob. 42E Ch. C - Prob. 43E Ch. C - Prob. 44E Ch. C - Prob. 45E Ch. C - Prob. 46E Ch. C - Prob. 47E Ch. C - Prob. 48E Ch. C - Explorations and Challenges Evaluating roots...Ch. C - Prob. 50E Ch. C - Prob. 51E Ch. C - Prob. 52E Ch. C - Prob. 53E Ch. C - Prob. 54E Ch. C - Prob. 55E Ch. C - Prob. 56E Ch. C - Solving polynomial equations Find all roots of the...Ch. C - Solving polynomial equations Find all roots of the...Ch. C - Prob. 59E Ch. C - Prob. 60E Ch. C - Prob. 61E

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The complex expression − 9 e − i π 3 .

Solution Summary: The author explains how to compute the complex expression -9e-ipi 3.