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1.Use De Moivre's Theorem to solve the following. i. Find [2(cos120° + jsin120°)]5 ii. Find (-;+j ii.p 10 II • Find the roots of (1 + j)/5 t5-10t3+5t iV. Prove that tan50 where t = tan0. Deduce the values of 5t4-10t2+1 nn tan () for n = 1,2,3,4.

1.Use De Moivre's Theorem to solve the following. i. Find [2(cos120° + jsin120°)]5 ii. Find (-;+j ii.p 10 II • Find the roots of (1 + j)/5 t5-10t3+5t iV. Prove that tan50 where t = tan0. Deduce the values of 5t4-10t2+1 nn tan () for n = 1,2,3,4.

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 34E
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1.Use De Moivre's Theorem to solve the following. i. Find [2(cos120° + jsin120°)]5 ii. Find (-;+j ii.p 10 II • Find the roots of (1 + j)/5 t5-10t3+5t iV. Prove that tan50 where t = tan0. Deduce the values of 5t4-10t2+1 nn tan () for n = 1,2,3,4.
Transcribed Image Text:1.Use De Moivre's Theorem to solve the following. i. Find [2(cos120° + jsin120°)]5 ii. Find (-;+j ii.p 10 II • Find the roots of (1 + j)/5 t5-10t3+5t iV. Prove that tan50 where t = tan0. Deduce the values of 5t4-10t2+1 nn tan () for n = 1,2,3,4.
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