document.write( "Question 1150572: Write the complex number in polar form \r
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Algebra.Com's Answer #771952 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
The polar form of A+Bi is \r\n" );
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document.write( "\"r%28cos%28theta%29%5E%22%22%2Bi%2Asin%28theta%29%5E%22%22%29\"\r\n" );
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document.write( "The complex number A+Bi is a vector (arrow) drawn from the point (0,0) to\r\n" );
document.write( "the point (A,B).\r\n" );
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document.write( "So\r\n" );
document.write( "The complex number -1-1i is a vector (arrow) drawn from the point (0,0) to\r\n" );
document.write( "the point (-1,-1), which is this:\r\n" );
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document.write( "We draw the right triangle which has one leg on the x-axis and the other leg\r\n" );
document.write( "(in green) perpendicular to the x-axis and ending at the point (-1,-1):\r\n" );
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document.write( "Then we calculate r, which is the length of the arrow, by the Pythagorean\r\n" );
document.write( "theorem:\r\n" );
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document.write( "Then we find θ measured counter-clockwise and swung around from the right\r\n" );
document.write( "side of the x-axis, indicated by the red arc:\r\n" );
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document.write( "Use the unit circle to find θ since it is a special angle.\r\n" );
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document.write( "So \"theta=225%5Eo=%285pi%29%2F4\"\r\n" );
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document.write( "The polar form for -1-i is \r\n" );
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document.write( "\"r%28cos%28theta%29%2Bi%2Asin%28theta%5E%22%22%29%29\"\r\n" );
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document.write( "\"sqrt%282%29%28cos%28225%5Eo%29%5E%22%22%2Bi%2Asin%28225%5Eo%29%5E%22%22%29\"\r\n" );
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document.write( "if your teacher wants the angle in degrees, or\r\n" );
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document.write( "\"sqrt%282%29%28cos%28%285pi%29%2F4%29%5E%22%22%2Bi%2Asin%28%285pi%29%2F4%29%5E%22%22%29\"\r\n" );
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document.write( "if your teacher wants the angle in radians.\r\n" );
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document.write( "Edwin

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