document.write( "Question 204635: hi i am really having trouble with converting rectangular coordinates to polar coordinates because i first have to graph the points and find four different ways to express those points with differing angles.\r
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Algebra.Com's Answer #154434 by Edwin McCravy(20065) $\"\"$ $\"About$

You can put this solution on YOUR website!
hi i am really having trouble with converting rectangular coordinates to polar coordinates because i first have to graph the points and find four different ways to express those points with differing angles.\r
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document.write( "Let's plot the point (x,y) = (-10,-10):\r\n" );
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document.write( "Now let's draw in , , and r, which we\r\n" );
document.write( "will calculate:\r\n" );
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document.write( "We calculate r by the Pythagorean theorm \r\n" );
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document.write( "The reference angle is 45°, indicated by the red arc below:\r\n" );
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document.write( "So the angle in standard position, indicated by the blue arc \r\n" );
document.write( "below is 180°+45° or q = 225°, or  in radians:\r\n" );
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document.write( "So one way to express the rectangular point \r\n" );
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document.write( "(x,y) = (-10,-10) \r\n" );
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document.write( "in polar form is\r\n" );
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document.write( "(r,q) = ( or if you want q in radian measure\r\n" );
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document.write( "(r,q) = (,)\r\n" );
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document.write( "----\r\n" );
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document.write( "Another angle in standard position, indicated by the green arc \r\n" );
document.write( "below is -180°+45° = -135° or \r\n" );
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document.write( "So another way to express the rectangular\r\n" );
document.write( "point (x,y) = (-10,-10) in polar form is\r\n" );
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document.write( "(r,q) = ( or if you want q in radian measure\r\n" );
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document.write( "(r,q) = (,)\r\n" );
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document.write( "To find a third one, just add 360° or  to the positive angle.\r\n" );
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document.write( "(r,q) = ( or if you want q in radian measure\r\n" );
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document.write( "(r,q) = (,)\r\n" );
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document.write( "---\r\n" );
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document.write( "To find a fourth one, just add -360° or  to the negative angle.\r\n" );
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document.write( "(r,q) = ( or if you want q in radian measure\r\n" );
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document.write( "(r,q) = (,)\r\n" );
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document.write( "Edwin

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