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March 25, 2017

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A point in polar coordinates is given, Find the corresponding rectangular coordinates for the point.

(r,Q) = (4, 3pi/2)

I know that you are suppose to use
x=r cos Q and y=sin Q but I do not know how to plug this in.

  • Math - ,

    3 pi/2 is straight down the y axis
    x = 4 cos (3pi/2)
    but cos 3pi/2 is 0
    so x = 0

    sin 3pi/2 = -1
    so y = -4
    so (0,-4)

  • Math - ,

    if (r,Q) = (4, 3pi/2)
    then r = 4 and Q = 3π/3

    now just substitute ...
    x = 4cos 3π/2 and y = 4sin 3π/2
    x = 0 and y = 4(-1) = -4
    so the point is (0,-4)

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