document.write( "Question 1039836: Use DeMoivre's theorem to write in trigonometric from:\r
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Algebra.Com's Answer #654584 by Edwin McCravy(20056)\"\" \"About 
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document.write( "The complex number \"1%2F2%2Bi%2Asqrt%283%29%2F2\" is represented by\r\n" );
document.write( "the vector (arrow) from the origin to the point. Its length\r\n" );
document.write( "is r and its angle with the right side of the x-axis is q.\r\n" );
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document.write( "\"%28matrix%281%2C3%2C1%2F2%2C%22%2C%22%2Csqrt%283%29%2F2%29%29\"\r\n" );
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document.write( "We draw a perpendicular (in green) from the point to the\r\n" );
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document.write( "That makes a right triangle and we can use the\r\n" );
document.write( "Pythagorean theorem:\r\n" );
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document.write( "\"r%5E2=%281%2F2%29%5E2%2B%28sqrt%283%29%2F2%29%5E2\"\r\n" );
document.write( "\"r%5E2=1%2F4%2B3%2F4\"\r\n" );
document.write( "\"r%5E2=4%2F4\"\r\n" );
document.write( "\"r%5E2=1\"\r\n" );
document.write( "\"r=1\"\r\n" );
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document.write( "And since we know that \"SINE=OPP%2FHYP\",\r\n" );
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document.write( "\"sin%28theta%29=%28sqrt%283%29%2F2%29%2F1=sqrt%283%29%2F2\"\r\n" );
document.write( "\"theta=%2260%B0%22\" \r\n" );
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document.write( "So the trigonometric form of  \"1%2F2%2Bi%2Asqrt%283%29%2F2\"\r\n" );
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document.write( "is \"r%28cos%28theta%29%2Bi%2Asin%28theta%29%5E%22%22%29\" or\r\n" );
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document.write( "\"1%28cos%28%2260%B0%22%29%2Bisin%28%2260%B0%22%29%5E%22%22%29\"\r\n" );
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document.write( "Or if yout teacher wants you to use radians, then \r\n" );
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document.write( "\"%2260%B0%22=pi%2F3\"\r\n" );
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document.write( "\"1%28cos%28pi%2F3%29%2Bisin%28pi%2F3%29%5E%22%22%29\".\r\n" );
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document.write( "Edwin

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