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Math Help - substitution in a sum

  1. #1
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    substitution in a sum

    I have problems with latex on the site, so i have enclosed a pdf file

    now i have two sums and i have to do a substitution
    m=n/2 if n is even and m=(n-1)/2 if n is odd
    have can i substitute this in my sum?
    so how can i go from the first sum to the second one with this substitution

    thanks guys
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  2. #2
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    Hello,
    Quote Originally Posted by kuntah View Post
    I have problems with latex on the site, so i have enclosed a pdf file

    now i have two sums and i have to do a substitution
    m=n/2 if n is even and m=(n-1)/2 if n is odd
    have can i substitute this in my sum?
    so how can i go from the first sum to the second one with this substitution

    thanks guys
    For the first one, you don't need to. Just use de Moivre's formula :
    (cos(t)+i sin(t))^n=cos(nt)+sin(nt)
    And then, it's the binomial expansion.
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  3. #3
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    I have proven the first one
    but I don't know how to get to the second one

    So using the first sum I have to prove the second one
    using a substitution
    m=n/2 if n is even and m=(n-1)/2 if n is odd
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