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Modular arithmetic proof

  1. Mar 21, 2013 #1
    1. The problem statement, all variables and given/known data
    I'm trying to prove the following (as part of an isomorphism problem).
    The problem is I don't know much about modular arithmetic, so would appreciate some help.

    [tex] 2((a+b)mod \ 2π) = (2a+2b)mod \ 4π. [/tex]

    given that a,b are both nonnegative and less than 2π.


    2. Relevant equations



    3. The attempt at a solution
    I believe there are certain identities for modular arithmetic that I could use, but do not know. Can anyone tell me some or give me a link to some modular arithmetic identities? Thanks.

    BiP
     
  2. jcsd
  3. Mar 21, 2013 #2

    Dick

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    Homework Helper

    Break it into cases i) 0<=(a+b)<2pi and ii) 2pi<=(a+b)<4pi.
     
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