document.write( "Question 69789: Find the exact value of sin(pi/3 - pi/4) \n" ); document.write( "

Algebra.Com's Answer #49746 by jim_thompson5910(35256) $\"\"$ $\"About$

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Use identity
\n" ); document.write( " $\"sin%28u-v%29=sin%28u%29cos%28v%29-cos%28u%29sin%28v%29\"$
\n" ); document.write( "Let $\"u=pi%2F3\"$ and $\"v=pi%2F4\"$
\n" ); document.write( " $\"sin%28pi%2F3-pi%2F4%29=sin%28pi%2F3%29cos%28pi%2F4%29-cos%28pi%2F3%29sin%28pi%2F4%29\"$
\n" ); document.write( "Using the unit circle, $\"sin%28pi%2F4%29=cos%28pi%2F4%29=sqrt%282%29%2F2\"$ and $\"sin%28pi%2F3%29=sqrt%283%29%2F2\"$ , and $\"cos%28pi%2F3%29=1%2F2\"$
\n" ); document.write( "

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

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