Can you answer the problem with complete solution and box the final answer. Our topic is all about complex numbers 1. Prove that cos²z + sin²z = 1elz + e¬izeiz – e-izNote: cos z =and sin z =2; let z = x + iy2i

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Answered: 1. Prove that cos²z + sin²z = 1 eiz +…

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1. Prove that cos²z + sin²z = 1 eiz + e-iz eiz – e-iz Note: cos z = and sin z = ; let z = x + iy 2i

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.3: The Addition And Subtraction Formulas

Problem 80E

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Question

Can you answer the problem with complete solution and box the final answer. Our topic is all about complex numbers

1. Prove that cos²z + sin²z = 1
elz + e¬iz
eiz – e-iz
Note: cos z =
and sin z =
2
; let z = x + iy
2i

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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