document.write( "Question 341689: sinx = cos2x
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Algebra.Com's Answer #244647 by Edwin McCravy(20081)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"Sin%28x%29+=+Cos%282x%29\"\r\n" );
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document.write( "Use the identity \"Cos%282theta%29=1-2Sin%5E2theta\" on the right side:\r\n" );
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document.write( "\"Sin%28x%29=1-2Sin%5E2x\"\r\n" );
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document.write( "\"2Sin%5E2x%2BSin%28x%29-1=0\"\r\n" );
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document.write( "The left side factors just like \"2y%5E2%2By-1\" factors as \"%282y-1%29%28y%2B1%29\"\r\n" );
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document.write( "\"%282Sin%28x%29-1%29%28Sin%28x%29%2B1%29=0\"\r\n" );
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document.write( "Set each factor = 0\r\n" );
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document.write( "Setting the first factor = 0\r\n" );
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document.write( "\"2Sin%28x%29-1=0\"\r\n" );
document.write( "\"2Sin%28x%29=1\"\r\n" );
document.write( "\"Sin%28x%29=1%2F2\"\r\n" );
document.write( "\"x=%2230%B0%3B150%B0%22\"\r\n" );
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document.write( "Setting the second factor = 0\r\n" );
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document.write( "\"Sin%28x%29%2B1=0\"\r\n" );
document.write( "\"Sin%28x%29=-1\"\r\n" );
document.write( "\"x=%22270%B0%22\"\r\n" );
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document.write( "So there are 3 solutions in degrees between 0° and 360°.\r\n" );
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document.write( "Edwin
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