Results 1 to 7 of 7

Math Help - Argand Diagram

  1. #1
    Member SengNee's Avatar
    Joined
    Jan 2008
    From
    Pangkor Island, Perak, Malaysia.
    Posts
    155

    Argand Diagram

    z = x + yi

    What is the uses of modulus of , r and arg , θ in an Argand diagram?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Dec 2007
    From
    Melbourne
    Posts
    428
    (r, \theta) are the polar coordinates of z
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member SengNee's Avatar
    Joined
    Jan 2008
    From
    Pangkor Island, Perak, Malaysia.
    Posts
    155
    What is polar coordinate?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by SengNee View Post
    What is polar coordinate?
    we know that the number z = x + iy can be graphed as a dot in the Argand plane at the point (x,y) correct? r is the legth of the line connecting the origin to (x,y) and \theta is the angle this line makes with the positive real-axis
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member SengNee's Avatar
    Joined
    Jan 2008
    From
    Pangkor Island, Perak, Malaysia.
    Posts
    155
    I know that:
    r=|z|=length of z
    \theta=the angle this line makes with the positive real-axis

    I ask about what their uses, how we apply them to solve our daily problems?
    Last edited by SengNee; January 8th 2008 at 01:53 AM. Reason: Typing error...
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Senior Member
    Joined
    Dec 2007
    From
    Melbourne
    Posts
    428
    how we apply them to solve our daily problems?
    These have thousands of applications. One of the simplest is that if |z| = r and \arg (z) = \theta then |z^n| = r^n and \arg (z^n) = n \theta.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by SengNee View Post
    I ask about what their uses, how we apply them to solve our daily problems?
    The shortest route between two truths in the real domain passes through the complex domain. -Hadamard
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Roots of an Argand Diagram
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 20th 2011, 06:18 AM
  2. Argand diagram
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: September 16th 2010, 05:28 AM
  3. Argand diagram
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: January 25th 2010, 12:10 AM
  4. Help me with Argand diagram
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: June 19th 2008, 02:52 AM
  5. Argand Diagram
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 30th 2008, 10:13 AM

Search Tags


/mathhelpforum @mathhelpforum