- #1

- 9

- 0

## Homework Statement

C=A*e^(-i*wt)*sin(k*x); A,w,t,k,x are real numbers. Find imaginary part.

## Homework Equations

## The Attempt at a Solution

Im(C)=cos(wt)-i*sin(wt)

- Thread starter bfed
- Start date

- #1

- 9

- 0

C=A*e^(-i*wt)*sin(k*x); A,w,t,k,x are real numbers. Find imaginary part.

Im(C)=cos(wt)-i*sin(wt)

- #2

dx

Homework Helper

Gold Member

- 2,011

- 18

- #3

- 9

- 0

so then the imaginary party would be sin(wt)?

and what happens to the A in the function?

and what happens to the A in the function?

- #4

dx

Homework Helper

Gold Member

- 2,011

- 18

No, thats not right. What is the expression you got after using Euler's formula to expand C?

- #5

- 9

- 0

then do i substitute it back into the original expression?

- #6

dx

Homework Helper

Gold Member

- 2,011

- 18

Then you will have an expression of the form C = R + iI, and I is the imaginary part of C.

- #7

- 9

- 0

C=A*cos(wt)*sin(kx)-i*A*sin(wt)*sin(kx)

Re(C)=A*cos(wt)*sin(kx)

and

Im(C)=-A*sin(wt)*sin(kx)

is this the proper solution?

And thanks dx

- #8

dx

Homework Helper

Gold Member

- 2,011

- 18

Yep, thats right.

- #9

- 9

- 0

good stuff much appreciated dx

- Last Post

- Replies
- 22

- Views
- 4K

- Replies
- 20

- Views
- 3K

- Replies
- 18

- Views
- 2K

- Last Post

- Replies
- 11

- Views
- 3K

- Last Post

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 5

- Views
- 4K

- Last Post

- Replies
- 10

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 1K

- Last Post

- Replies
- 3

- Views
- 9K

- Last Post

- Replies
- 4

- Views
- 1K