document.write( "Question 669253: what is the exact value of sin(11pi/12) \n" ); document.write( "
Algebra.Com's Answer #416248 by Edwin McCravy(20059)\"\" \"About 
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what is the exact value of sin(11pi/12)
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document.write( "There are 6 different ways we can go about this \r\n" );
document.write( "since \"11pi%2F12\" can be written in as the sum or difference\r\n" );
document.write( "of special angles in these 6 ways:\r\n" );
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document.write( "\"11pi%2F12%29+=+%7B%7B%7B7pi%2F4-5pi%2F6\" = \"7pi%2F4-5pi%2F6\" = \"5pi%2F4-pi%2F3\" = \"pi%2F6%2B3pi%2F4\" = \"2pi%2F3%2Bpi%2F4\" = \"5pi%2F3-3pi%2F4\" = \"7pi%2F6-pi%2F4\"\r\n" );
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document.write( "I'll pick one arbitrarily, say\r\n" );
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document.write( "\"11pi%2F12\" = \"2pi%2F3%2Bpi%2F4\"\r\n" );
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document.write( "\"sin%2811pi%2F12%29\" = \"sin%282pi%2F3%2Bpi%2F4%29\" \r\n" );
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document.write( "We use the formula:\r\n" );
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document.write( "\"sin%28alpha%2Bbeta%29=sin%28alpha%29cos%28beta%29%2Bcos%28alpha%29sin%28beta%29\"\r\n" );
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document.write( "\"sin%2811pi%2F12%29\" = \"sin%282pi%2F3%2Bpi%2F4%29\" = \"sin%282pi%2F3%29cos%28pi%2F4%29%2Bcos%282pi%2F3%29sin%28pi%2F4%29\" = \r\n" );
document.write( "\"%28sqrt%283%29%2F2%29%28sqrt%282%29%2F2%29%2B%28-1%2F2%29%28sqrt%282%29%2F2%29\" = \"sqrt%286%29%2F4-sqrt%282%29%2F4\" = \"%28sqrt%286%29-sqrt%282%29%29%2F4\" \r\n" );
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document.write( "Edwin

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