Laplace Transform of f(t)=Cos[5t-45^°]

%% Problem P2_(Quiz1)    
display('Problem P2_(Quiz1)')

syms S D f t;
D = rad2deg(-pi/4);
f = cos(5*t+D);
S = laplace(f)

[BOB MATHEW SYJI]

Can you please elaborate the question

[Walter Roberson]

Are you sure you want D to be in degrees? cos() expects radians.

Answer 1

[Ameer Hamza]

Making a code complex just for the sake of it is a pointless question, especially for this forum. However, the following code shows an alternate method to calculate Laplace transform using its definition

syms s t;

assume(real(s) > 0);
D = rad2deg(-pi/4);
f = cos(5*t+D);
S = int(f*exp(-s*t), t, 0, inf)