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Thread: Proving polar forms

  1. #1 Proving polar forms 
    Forum Ph.D. Heinsbergrelatz's Avatar
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    hey everyone, today i was going thepugh my brother's IB maths higher book, to try and prepare myself for next year. while i was going trough i was working on complex numbers in detail, and one of the question was proving;


    here is how i did it;

    = + +

    which equals to
    - + +

    from here i am stuck, but am i on the right track?? can you help me out from here? thank you.(apologies for the continuous usage of "theta" and "phi", i do not know the TeX symbol for that, or you can think of it as just what ever you feel most comfortable


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  3. #2  
    Forum Ph.D. Leszek Luchowski's Avatar
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    You have almost done it. Just remember (or derive, or find) the formulas for the sine and cosine of a sum of two angles.


    Leszek. Pronounced [LEH-sheck]. The wondering Slav.
    History teaches us that we don't learn from history.
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  4. #3  
    Forum Ph.D. Heinsbergrelatz's Avatar
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    OOO yea i get it,

    so it goes like this,
    =which then equals
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  5. #4  
    Forum Ph.D. Heinsbergrelatz's Avatar
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    i forgot to mention, (using the double angle formula)
    ------------------




    "Mathematicians stand on each other's shoulders."- Carl Friedrich Gauss


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