Determine the Laplace transform of the given function using Table 7.1 and the properties of the transform given in Table 7.2 [Hint: In 12–20, use an appropriate trigonometric identity.]

Solution:Step-1:In this problem we need to determine laplace transform of the function Step-2:Given function is We know that,, since {c f} = c{f} , for any constant c. , since Step-3:Therefore, laplace transform of the function is .