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## 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)

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- Thread starter bfed
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- #1

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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

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- #3

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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

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

- #5

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then do i substitute it back into the original expression?

- #6

dx

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

- #7

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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

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Yep, thats right.

- #9

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good stuff much appreciated dx

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