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Math Help - Imaginary/Laplace conversion

  1. #1
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    Imaginary/Laplace conversion

    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
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by jarny View Post
    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
    Please consider rephrasing this using radian angle measure.

    CB
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