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1. Use de Moivre's theorem to express sin50 in terms of powers of sine.

1. Use de Moivre's theorem to express sin50 in terms of powers of sine.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 37E
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I. Use De Moivre's Theorem to solve the following. 1. Use de Moivre's theorem to express sin50 in terms of powers of sin0. 2. By considering the solutions of sin50 = 0, find an exact representation for sin? ("). II. Use Cauchy – Reimann Equations to identify if it is differentiable or not, if yes then differentiate the complex equation. 1. f(z) = y – 2xy +j(-x² + x² – y²) + x² – y² + 2jxy 2. f(z) = cosx – jsinhy
Transcribed Image Text:I. Use De Moivre's Theorem to solve the following. 1. Use de Moivre's theorem to express sin50 in terms of powers of sin0. 2. By considering the solutions of sin50 = 0, find an exact representation for sin? ("). II. Use Cauchy – Reimann Equations to identify if it is differentiable or not, if yes then differentiate the complex equation. 1. f(z) = y – 2xy +j(-x² + x² – y²) + x² – y² + 2jxy 2. f(z) = cosx – jsinhy
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