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    $\large {\color{DarkOrange} z=cos2t+isin2t\Rightarrow 1+z=(1+cos2t)+i(2sintcost)}$
    ${\color{DarkOrange} =2cos^{2}t+i(2sintcost)=2cos^{2}t(1+itant)}$
    $ {\color{DarkOrange}2/(1+z)=\frac{1-itant}{cos^{2}t*sec^{2}t}=1-itant}$
    ; 06-21-2016 04:50 PM

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    cos ^2 * sec^ 2

    sec^2

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    $\large {\color{DarkBlue} 2/(1+z)=\frac{1}{cos^{2}t(1+itant)}\frac{1-itant}{1-itant}}$
    $ {\color{DarkBlue} =\frac{1-itant}{cos^{2}t(1+tan^{2}t)}=\frac{1-itant}{cos^{2}t*sec^{2}t}=1-itant}$
    ; 06-22-2016 05:27 PM

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