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Math Help - Complex Numbers #2

  1. #1
    Junior Member
    Joined
    Oct 2010
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    Complex Numbers #2

    Hi

    The question says:
    Find the Argument of z for each of the following in the interval [2,2pi]

    A) Z=1-√3i

    B) Z=-√7

    C) Z=55

    D) -2-2√3i

    please help i dont understand the method for solving this, i got a worked example but i dont understand it, can any please explain the process of solving.

    thnx
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  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Quote Originally Posted by iFuuZe View Post
    Hi

    The question says:
    Find the Argument of z for each of the following in the interval [2,2pi]

    A) Z=1-√3i

    B) Z=-√7

    C) Z=55

    D) -2-2√3i

    please help i dont understand the method for solving this, i got a worked example but i dont understand it, can any please explain the process of solving.

    thnx

    The argument of a complex number z=x+iy\,,\,\,x,y\in\mathbb{R}\,,\,x\neq 0 is given by arg(z):=\arctan(y/x) , choosing

    the angle depending on the signs of x,y.

    Thus, for example, arg(1+i\sqrt{3})=\arctan\sqrt{3}=\frac{\pi}{3} , whereas \arg(-1-\sqrt{3})=\arctan\sqrt{3}=\frac{4\pi}{3}

    Tonio
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