Hello,

I need help with this question, :confused:

a) express in polar co-cordinates the cartesian co-ordinates (2, -6)

b) express in cartesian co-ordinates the polar co-cordinates (3, 150degrees)

Thank you.

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- May 3rd 2006, 06:43 AMsimoncartesian and polar
Hello,

I need help with this question, :confused:

a) express in polar co-cordinates the cartesian co-ordinates (2, -6)

b) express in cartesian co-ordinates the polar co-cordinates (3, 150degrees)

Thank you. - May 3rd 2006, 08:02 AMtopsquarkQuote:

Originally Posted by**simon**

Inverting these relations gives:

So for question a)

(2,-6) => x = 2, y = -6

is a reference angle. The point (2,-6) is in the 4th quadrant, so your angle measured from the +x axis is 360 - 71.5651 = 288.435 degrees.

Thus: (2,-6) => (2sqrt(10), 288.435 degrees).

For question b)

(3, 150 degrees) => r = 3, = 150 degrees

Thus: (3, 150 degrees) => (-2.59808, 1.5).

(And note that it is, in fact, in the second quadrant as the original coordinates state.)

-Dan