Sunday, November 20, 2011

11-1

(-2,2)

r=square root of -2^2+2^2=square root of 8
 theta=tan^-1(-2/2)
theta=45 degrees
(square root of 8, 45 degrees)
(-square root of 8,135 degrees)

To get (-2,2) in polar coordinates, you have to use the formula r=square root of x^2+y^2.  So plug your coordinate you are given into the formula and you get the square root of 8.  Then you have to use the other formula which is theta=tan^-1(y/x).  You have to plug in the points you are given into this formula and you get 45 degrees and 135 degrees from the trig chart and unit circle.  Now all you have to do is plug your answers into the coordinates.  So now you have that your polar points are (square root of 8, 45 degrees) and (-square root of 8, 135 degrees).

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