I have to convert this: (0.7071+j0.701)/(s+j) + (0.7071-j0.7071)/(s-j) into a cosine with a phase change. The answer is supposed to be 2cos(t-45(deg)) but I am failing to reach that conclusion mathematically.

The solution I am given skips from the part that i give you to

e^(-(jt-45(deg)))+e^(jt+45(deg)) and then says f(t)= 2cos(t-45(deg)) .

Can anyone help me? Thanks