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 43E
To determine

To write: The number eiπ3 in the form a+bi.

Expert Solution

Answer to Problem 43E

The number eiπ3 expressed in the form of complex number as 12+(32)i.

Explanation of Solution

Formula used:

Euler’s formula:

eiy=cosy+isiny

Calculation:

Simplify the number eiπ3 by the use of Euler’s formula as follows.

eiπ3=cosπ3+isinπ3=12+(32)i

Thus, the number eiπ3 expressed in the form of complex number as 12+(32)i.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!