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Math Help - opposite of a complex question..

  1. #1
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    opposite of a complex question..

    (\frac{1}{0.81e^{j0.27}})*= \frac{1}{0.81}e^{j0.27}
    why we can remove the constant?
    why the conjugate of a complex number is multiplication of the angle by -1
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  2. #2
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    Quote Originally Posted by transgalactic View Post
    (\frac{1}{0.81e^{j0.27}})*= \frac{1}{0.81}e^{j0.27}
    why we can remove the constant?
    why the conjugate of a complex number is multiplication of the angle by -1

    We can write z=x+iy=|z|e^{i\theta}=|z|(\cos\theta+i\sin\theta)\  ,,\,\,\theta=\arg(z)=\arctan\left(\frac{y}{x}\righ  t) \Longrightarrow \overline{z}=|z|(\cos\theta-i\sin\theta)=|z|e^{-i\theta} , and that is why.

    Tonio
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