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Math Help - Rectangular form of an equation

  1. #1
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    Smile Rectangular form of an equation

    I have to put 2(cos(pi/3)+isin(pi)/3) into rectangular form. I need some help as to where to begin. Can anyone help? Thanks.
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  2. #2
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    Quote Originally Posted by Joanie View Post
    I have to put 2(cos(pi/3)+isin(pi)/3) into rectangular form. I need some help as to where to begin. Can anyone help? Thanks.
    Greetings,

    You can use Euler's Identity (AKA Euler's Formula): re^{i\theta} \; = \; rcos(\theta) \; + \; irsin(\theta)

    This can be converted to Cartesian coordinates using: z \; = \; x \; + \; iy

    So,
    z \; = \; re^{i\theta}
    x \; = \; rcos(\theta)
    y \; = \; irsin(\theta)

    Hopefully that helps.
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  3. #3
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    Talking

    Quote Originally Posted by Joanie View Post
    I have to put 2(cos(pi/3)+isin(pi)/3) into rectangular form.
    What is the value of cos(pi/3)? What is the value of sin(pi/3)? Plug these values in.

    Then multiply through by the "2". This will give you the "x + iy" form (which I'm guessing is what you need).
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  4. #4
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    Smile Your response to my question

    Thank you for helping. When I followed your advice, I came up with the answer 1 + square root of 3 i

    Joanie
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