Laplace Transform f(t) = e^t *sin(t)sin(5t)

[tim_3491]

Hey everyone

Does anyone know how to do the following Laplace Transformation

f(t) = e^t *sin(t)sin(5t)

i can do it with one sin function but don't know how to do it with 2.

any help would be appreciated.

 

[gonfer]

Hey everyone

Does anyone know how to do the following Laplace Transformation

f(t) = e^t *sin(t)sin(5t)

i can do it with one sin function but don't know how to do it with 2.

any help would be appreciated.

Use the addition formula for sines:

sin(t)sin(5t) = (cos(4t) - cos(6t))/2