document.write( "Question 667117: Use an Addition or Subtraction Formula to find the exact value of the expression.
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Algebra.Com's Answer #853711 by MathTherapy(10719)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Use an Addition or Subtraction Formula to find the exact value of the expression.\r\n" );
document.write( "sin( -5π/12)\r\n" );
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document.write( "@Lynnlo's answer: 0.9659======OR===========-1+√3/2√2, is ALL WRONG!\r\n" );
document.write( "Isn't the EXACT value needed? .9659 is certainly NOT THAT!! And, I have no idea what \"-1+√3/2√2\" is!!\r\n" );
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document.write( "You can use either, sin (A - B) = sin A cos B - cos A sin B (DIFFERENCE-of-2 ANGLES formula), or \r\n" );
document.write( "                    sin (A + B) = sin A cos B + cos A sin B (SUM-of-2 ANGLES formula)\r\n" );
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document.write( "Using sin (A - B) = sin A cos B - cos A sin B (DIFFERENCE-of-2 ANGLES formula)\r\n" );
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document.write( "\"highlight%28sin+%28-+5pi%2F12%29%29\" = \"sin+%284pi%2F12+-+9pi%2F12%29\" = \"highlight%28sin+%28pi%2F3+-+3pi%2F4%29%29\"\r\n" );
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document.write( "  sin (A - B) = sin A cos B - cos A sin B\r\n" );
document.write( ", with \"matrix%282%2C1%2C+A+=+pi%2F3%2C+B+=+3pi%2F4%29\" \r\n" );
document.write( " = \"highlight%28-+sqrt%286%29%2F4+-+sqrt%282%29%2F4%29\" = \"highlight%28%28-+sqrt%286%29+-+sqrt%282%29%29%2F4%29\"\r\n" );
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document.write( "Using sin (A + B) = sin A cos B + cos A sin B (SUM-of-2 ANGLES formula)\r\n" );
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document.write( "\"highlight%28sin+%28-+5pi%2F12%29%29\" = \"sin+%28-+3pi%2F12+%2B+%28-+2pi%29%2F12%29\" = \"highlight%28sin+%28-+pi%2F4+%2B+%28-+pi%29%2F6%29%29\"\r\n" );
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document.write( "     sin (A + B) = sin A cos B + cos A sin B\r\n" );
document.write( ", with \"matrix%282%2C1%2C+A+=+-+pi%2F4%2C+B+=+-+pi%2F6%29\" \r\n" );
document.write( " = \"highlight%28-+sqrt%286%29%2F4+%2B+%28-+sqrt%282%29%29%2F4%29\" = \"highlight%28%28-+sqrt%286%29+-+sqrt%282%29%29%2F4%29\"
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