document.write( "Question 1063062: What is the exact value of sin(-7pi/12) and how do you find it? \n" ); document.write( "
Algebra.Com's Answer #678075 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Exact value of sin(-7pi/12) is\r\n" );
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document.write( "\"sin%28-7pi%2F12%29\" = \"sin%28-pi%2F2+-+pi%2F12%29\" = \"-cos%28pi%2F12%29\"\r\n" );
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document.write( "To find \"cos%28pi%2F12%29\", use the formula of half argument for cosines \r\n" );
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document.write( "    (see the lesson  Trigonometric functions of half argument  in this site):\r\n" );
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document.write( "cos^2(15°) = (1+cos(30°)/2 = \"%281%2Bsqrt%283%29%2F2%29%2F2\" = \"%282%2Bsqrt%283%29%29%2F4\".\r\n" );
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document.write( "Hence,  \r\n" );
document.write( "cos(15°) = \"sqrt%282%2Bsqrt%283%29%29%2F2\".\r\n" );
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document.write( "Thus  \"sin%28-7pi%2F12%29\" = \"-sqrt%282%2Bsqrt%283%29%29%2F2\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lesson \r
\n" ); document.write( "\n" ); document.write( "    - Trigonometric functions of half argument - Examples\r
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\n" ); document.write( "\n" ); document.write( "Regarding the solution by the tutor \"math_helper\" for this problem, I want to notice that this solution consists and coincides with my:\r
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\n" ); document.write( "\n" ); document.write( "\"%28+-+%28sqrt%282%29%2F4%29%281%2Bsqrt%283%29%29%29+\" = \"-sqrt%282%2Bsqrt%283%29%29%2F2\".\r
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