document.write( "Question 667117: Use an Addition or Subtraction Formula to find the exact value of the expression.
\n" ); document.write( "sin( -5π/12)\r
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Algebra.Com's Answer #853712 by greenestamps(13295)\"\" \"About 
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\n" ); document.write( "(1) using an angle addition formula....

\n" ); document.write( "\"-5pi%2F12=%28-3pi%2F12%29%2B%28-2pi%2F12%29=%28-pi%2F4%29%2B%28-pi%2F6%29\"

\n" ); document.write( "Use \"sin%28A%2BB%29=sin%28A%29cos%28B%29%2Bcos%28A%29sin%28B%29\" with \"A=-pi%2F4\" and \"B=-pi%2F6\"

\n" ); document.write( "\"sin%28-5pi%2F12%29=sin%28-pi%2F4%29cos%28-pi%2F6%29%2Bcos%28pi%2F4%29sin%28-pi%2F6%29\"
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\n" ); document.write( "\"sin%28-5pi%2F12%29=-sqrt%286%29%2F4-sqrt%282%29%2F4%29\"
\n" ); document.write( "\"sin%28-5pi%2F12%29=%28-sqrt%286%29-sqrt%282%29%29%2F4\"

\n" ); document.write( "OR...

\n" ); document.write( "(2) using an angle subtraction formula...

\n" ); document.write( "\"-5pi%2F12=%283pi%2F12%29-%288pi%2F12%29=%28pi%2F4%29-%282pi%2F3%29\"

\n" ); document.write( "Use \"sin%28A-B%29=sin%28A%29cos%28B%29-cos%28A%29sin%28B%29\" with \"A=pi%2F4\" and \"B=2pi%2F3\"

\n" ); document.write( "\"sin%28-5pi%2F12%29=sin%28pi%2F4%29cos%282pi%2F3%29-cos%28pi%2F4%29sin%282pi%2F3%29\"
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\n" ); document.write( "\"sin%28-5pi%2F12%29=-sqrt%282%29%2F4-sqrt%286%29%2F4\"
\n" ); document.write( "\"sin%28-5pi%2F12%29=%28-sqrt%282%29-sqrt%286%29%29%2F4\"

\n" ); document.write( "ANSWER: \"sin%28-5pi%2F12%29=%28-sqrt%286%29-sqrt%282%29%29%2F4\"
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