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Posted by on Monday, March 22, 2010 at 10:08am.

Is the somewhere where I could learn how to graph polar coordinates such as (1,pi/3)?

  • trig - , Monday, March 22, 2010 at 10:59am

    It is a very simple concept to learn

    Polar coordinates have the form (r,Ø)
    where r is the length of a rotating arm, usually r is positive, and Ø is the angle it points to.

    So draw a standard x-y intersecting axes
    the normal point (0,)) is the centre of rotation, with the positive x-axis as the 0 direction.
    Rotation is counterclockwise.

    so a polar point of (4,π/6) would be a rotating arm of length 4 rotated through π/6 radians or 30 degrees.

    Unlike rectangular coordinates, polar coordinate points are not uniquely defined.
    e.g. (5, π/3) ends up in the same place as (5,-5π/3) or (5,7π/3).
    My angles are all coterminal, that is they end up in the same direction.

    to convert from one to the other, ....

    1. polar to rectangular:
    x = rcosØ
    y = rsinØ

    2. rectangular to polar
    r = √(x^2 + y^2) , which is just using Pythagoras
    Ø = arctan(y/x)

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