Question

Find the laplace transform of the function 3cos h5t - 4sin h5t

Answer 1

Answer:

(3s-20)/(s²-25)

Step-by-step explanation:

laplace transform of cos hat is s/(s²-a²)

laplace transform of sin hat is a/(s²-a²)

so,

3cos hat-4sin hat=3(s/(s²-25))-4(5/(s²-25))

                             =(3s/(s²-25))-(20/(s²-25))

                             =(3s-20)/(s²-25)

I think this is the final answer