document.write( "Question 1008640: Exact values. 2-2 cos^2x=-3sin x-1 \n" ); document.write( "
Algebra.Com's Answer #624235 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"2-2cos%5E2%28x%29=-3sin%28x%29-1\"\r\n" );
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document.write( "Add 1 to both sides:\r\n" );
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document.write( "\"3-2cos%5E2%28x%29=-3sin%28x%29\"\r\n" );
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document.write( "Use the identity \"sin%5E2%28theta%29%2Bcos%5E2%28theta%29=1\" solved for cos2(q)\r\n" );
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document.write( "\"3-2%281-sin%5E2%28x%29%5E%22%22%29=-3sin%28x%29\"\r\n" );
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document.write( "\"3-2%2B2sin%5E2%28x%29=-3sin%28x%29\"\r\n" );
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document.write( "\"1%2B2sin%5E2%28x%29=-3sin%28x%29\"\r\n" );
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document.write( "Get 0 on the right side\r\n" );
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document.write( "\"2sin%5E2%28x%29%2B3sin%28x%29%2B1=0\"\r\n" );
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document.write( "Factor the left side as a quadratic in sin(x)\r\n" );
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document.write( "\"%282sin%28x%29%5E%22%22%2B1%5E%22%22%29%28sin%28x%29%5E%22%22%2B1%5E%22%22%29=0\"\r\n" );
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document.write( "Use the zero-factor property:\r\n" );
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document.write( "\"2sin%28x%29%2B1=0\";   \"sin%28x%29%2B1=0\"\r\n" );
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document.write( "\"2sin%28x%29=-1\";    \"sin%28x%29=-1\"\r\n" );
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document.write( "\"sin%28x%29=-1%2F2\";     \"x=3pi%2F2\"\r\n" );
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document.write( "\"x=7pi%2F6\";\"11pi%2F6\"   \r\n" );
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document.write( "These are the solutions for \"0%3C=x%3C2pi\".\r\n" );
document.write( "To get all solutions add \"2pi%2An\" to them.\r\n" );
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document.write( "Edwin
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