how to derive Laplace transform, delta function?

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This is an awfully specific question that is extremely similar to previous question (linked below). This problem utilized a quality of the delta function that allows an indefinite integral to be collapsed:

L[sin(t)d(t-pi)] where d is the delta function and L is Laplace transform. From what I understand: 

L[f(t)]=F(s)= 0~inf[sin(t)d(t-pi)e^(-st)dt This can be simplified by characteristics of delta function: sin(pi)e^(-spi), but this equals 0.

Is this the correct answer?

**I am deeply sorry for the lack of formatting. If someone can instruct me how to include proper formatting, it would be greatly appreciated. Thanks!

How does one find the Laplace transform for the product of the Dirac delta function and a continuous function?