De Moivre’s Theorem Let z = a + jb, where a = cos(0) and b = sin(0).Using de Moivre's theorem, write z4 in two different ways, and find a formula for cos(40) andsin(40), in terms of cos(9) and sin(9).You might find useful the following trigonometric identity: cos² + sin² 0 = 1.

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Answered: Let z = a + jb, where a = cos(0) and b…

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.22P

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Let z = a + jb, where a = cos(0) and b = sin(0). Using de Moivre's theorem, write z4 in two different ways, and find a formula for cos(40) and sin(40), in terms of cos(9) and sin(9). You might find useful the following trigonometric identity: cos² + sin² 0 = 1.