It did not occur to me that taking the imaginary part would introduce a factor of j in the second to last step. Problem solved. Thanks.

It did not occur to me that taking the imaginary part would introduce a factor of j in the second to last step. Problem solved. Thanks.

Clarification edit: The difference of complex conjugates is 2j times the imaginary part, not just 2 times. This is because Re{a+bj} = a and Im{a+bj} = b. Then (a+bj)-(a-bj) = 2bj.