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Polar Coordinates

  • 01-02-2008 10:08pm
    #1
    JSK 252
    Registered Users, Registered Users 2 Posts: 1,257 ✭✭✭


    I just wanted to know in the topic of complex numbers, why when you multiply two polar coordinates together, you add the cos and isin piii fractions instead of multiplying them normally. Are polar coordinates just an exception?


Comments

  • #2
    Fremen
    Registered Users, Registered Users 2 Posts: 2,481 ✭✭✭Fremen


    Not quite sure what you're asking in specific, but in general, yes you add the "theta" parts and take the product of the "r" parts when you represent a complex number as R*(cos(theta) + i*sin(theta))

    The reason for this comes from properties of exponents and Euler's identity. I'll go into it in a bit more depth if you want.

    P.s. No, YOU grow up


  • #3
    ZorbaTehZ
    Registered Users, Registered Users 2 Posts: 2,149 ✭✭✭ZorbaTehZ


    The proof for that is on the LC. You musn't have done it yet though.


  • #4
    Thomas_S_Hunterson
    Closed Accounts Posts: 6,151 ✭✭✭Thomas_S_Hunterson


    It's easy enough to derive.

    Just...multiply and simplify


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