Use mathematical induction to show that (cos x + i sin x)n = cos nx + i

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Use mathematical induction to show that (cos x + i sin x)n = cos nx + i sin nx whenever n is a positive integer. (Here i is the square root of −1.)

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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 02, 2016 12:31 PM

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Use mathematical induction to show that (cos x + i sin x)n = cos nx + i

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The identity is clearly true for n 1 Let us expand t...View the full answer

Discrete Mathematics and Its Applications

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