document.write( "Question 960613: Hello,Can you please help me solve this problem:\r
\n" ); document.write( "\n" ); document.write( "1.Solve the following equation for x e [0, 2pi):\r
\n" ); document.write( "\n" ); document.write( "cos^2(x+pi/2)- sin^2 (x+pi/2) =1 \r
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Algebra.Com's Answer #587058 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"cos%5E2%28x%2Bpi%2F2%29-+sin%5E2%28x%2Bpi%2F2%29\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "Recognize that the left side is the right side of the identity\r\n" );
document.write( "\"cos%282theta%29=cos%5E2%28theta%29-sin%5E2%28theta%29\" with \"x%2Bpi%2F2\" substituted for q.\r\n" );
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document.write( "So the equation becomes:\r\n" );
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document.write( "\"cos%282%28x%2Bpi%2F2%29%5E%22%22%29\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "\"cos%282x%2Bpi%29\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "Adding p to an angle moves it from\r\n" );
document.write( "1. 1st quadrant to 3rd quadrant or\r\n" );
document.write( "2. 2nd quadrant to 4th quadrant or\r\n" );
document.write( "3. 3rd quadrant to 1st quadrant or\r\n" );
document.write( "4. 4th quadrant to 2nd quadrant or\r\n" );
document.write( "5. 0 to p\r\n" );
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document.write( "In any case the cosine of an angle has the opposite sign when \r\n" );
document.write( "p is added to it.  IOW, \"cos%28theta%2Bpi%29=-cos%28theta%29\" is an identity.\r\n" );
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document.write( "Using it on the left side:\r\n" );
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document.write( "\"-cos%282x%29\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "\"cos%282x%29\"\"%22%22=%22%22\"\"-1\"\r\n" );
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document.write( "since \"0%3C=x%3C2pi\", multiply that by 2, \"0%3C=2x%3C4pi\",\r\n" );
document.write( "so to find all solutions for x between 0 and 2p,\r\n" );
document.write( "we must take all possible values of 2x between\r\n" );
document.write( "0 and 4p. \r\n" );
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document.write( "\"2x\"\"%22%22=%22%22\"\"matrix%281%2C3%2Cpi%2C%22%2C%22%2C3pi%29\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"matrix%281%2C3%2Cpi%2F2%2C%22%2C%22%2C3pi%2F2%29\"\r\n" );
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document.write( "Edwin
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