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Female midyearnc



Joined: Jun 5, 2006
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PRECAL HELP!!! Reply to this Post
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This question has me stumped. If anyone can help me solve it I would appreciate it.

The rectangular coordinates of a point are (1, -1). Find two pairs of polar coordinates (r, 0) for each point, one with r>0 and the other with r<0 . Express in radians.


PLEASE HELP!!!!!
[Jun 5, 2006 5:03:06 PM] Show Post Printable Version     [Link] Report threaten post: please login first  Go to top 
Female pskinner

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applause   Re: PRECAL HELP!!! Reply to this Post
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This is a trig question.

The point (1,-1), connected to (0,0), makes an angle with the x-axis of -pi/4.

Drop a perpendicular from (1,-1) to the x-axis and draw the triangle in in the fourth quadrant. Now, you can compute r=sqrt(2)/2, using pythagoras. So, one point in polar coordinates is:

(sqrt(2)/2,-pi/4).

That's when r is positive. If r is negative with the same angle, the point gets rotated 180 degrees around the origin, so to get it back the angle needs to be 180 degrees in the other direction, so the other point is:

(-sqrt(2)/2,3pi/4)
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Principal Skinner
[Jun 5, 2006 8:31:09 PM] Show Post Printable Version     [Link] Report threaten post: please login first  Go to top 
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