BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter I, Problem 44E
To determine

To write: The number eiπ in the form a+bi.

Expert Solution

Answer to Problem 44E

The number eiπ expressed in the form of complex number as 1.

Explanation of Solution

Formula used:

Euler’s formula:

eiy=cosy+isiny

Calculation:

Simplify the number eiπ by using Euler’s formula as follows.

eiπ=cos(π)+isin(π)=cosπisinπ=1i(0)=1

Thus, the number eiπ expressed in the form of complex number as 1.

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