document.write( "Question 1075991: Please help me solve this equation: \"+cos%5E2%28x%29%2B2sin%28x%29cos%28x%29-sin%5E2%28x%29=0+\" with the range of x being between 0 and 2pi. \n" ); document.write( "
Algebra.Com's Answer #690676 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"+cos%5E2%28x%29%2B2sin%28x%29cos%28x%29-sin%5E2%28x%29=0+\"\r\n" );
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document.write( "\"+cos%5E2%28x%29-sin%5E2%28x%29%2B2sin%28x%29cos%28x%29=0+\"\r\n" );
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document.write( "Use the formulas for twice an angle:\r\n" );
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document.write( "      \"cos%282theta%29=cos%5E2%28theta%29-sin%5E2%28theta%29\"\r\n" );
document.write( "      \"sin%282theta%29=2sin%28theta%29cos%28theta%29\"\r\n" );
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document.write( "\"cos%282x%29%2Bsin%282x%29=0\"\r\n" );
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document.write( "\"cos%282x%29=-sin%282x%29\"\r\n" );
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document.write( "Divide both sides by cos(2x)\r\n" );
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document.write( "\"1=-sin%282x%29%2Fcos%282x%29\"\r\n" );
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document.write( "\"1=-tan%282x%29\"\r\n" );
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document.write( "\"tan%282x%29+=+-1\"\r\n" );
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document.write( "x is between 0 and 2p, but\r\n" );
document.write( "2x is between 0 and 4p\r\n" );
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document.write( "so \r\n" );
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document.write( "and taking half of all those:\r\n" );
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document.write( "Edwin
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