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Math Help - Alge' Complex

  1. #1
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    Alge' Complex

    Hi just received some interesting questions based on complex most seems fine but 2 is bit fague to start of....

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    Express cos 8 "beta" in terms of cos "beta"
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    And
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    Show every group of order 3 is isomorphic to C3, the cyclic group of order 3.
    ========

    Point me in the right direction and it should be no problem for me.

    Thanks
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  2. #2
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    Quote Originally Posted by NeloAngelo View Post
    Express cos 8 "beta" in terms of cos "beta"
    \cos 8x = \Re ( (\cos x + i\sin x)^8 ).

    Show every group of order 3 is isomorphic to C3, the cyclic group of order 3.
    If |G| = p then G is cyclic for prime p. That is easy. Let a\in G so that a\not = e. Then the order of a must divide p by Lagrange's theorem. Since p is prime it means a has order p and so G = \left< a \right>.
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  3. #3
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    Wow thx a lot Hax0r
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