document.write( "Question 955044: What is the value of sin(A+B) if $\"+sin+A+=+-+%283%29%2F%285%29+\"$ and $\"+cos+B=+%283%29%2F%285%29+\"$ , and both A and B are in the fourth quadrant? \n" ); document.write( "

Algebra.Com's Answer #583366 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sin%28A%2BB%29=sin%28A%29cos%28B%29%2Bcos%28A%29sin%28B%29\"$
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\n" ); document.write( " $\"sin%28A%29=-3%2F5\"$
\n" ); document.write( " $\"sin%5E2%28A%29%2Bcos%5E2%28A%29=1\"$
\n" ); document.write( " $\"9%2F25%2Bcos%5E2%28A%29=1\"$
\n" ); document.write( " $\"cos%5E2%28A%29=16%2F25\"$
\n" ); document.write( " $\"cos%28A%29=4%2F5\"$
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\n" ); document.write( " $\"cos%28B%29=3%2F5\"$
\n" ); document.write( " $\"sin%5E2%28B%29%2Bcos%5E2%28B%29=1\"$
\n" ); document.write( " $\"sin%5E2%28B%29%2B9%2F25=1\"$
\n" ); document.write( " $\"sin%5E2%28B%29=16%2F25\"$
\n" ); document.write( " $\"sin%28B%29=-4%2F5\"$
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\n" ); document.write( "So then,
\n" ); document.write( " $\"sin%28A%2BB%29=%28-3%2F5%29%283%2F5%29%2B%284%2F5%29%28-4%2F5%29\"$
\n" ); document.write( " $\"sin%28A%2BB%29=-9%2F25-16%2F25\"$
\n" ); document.write( " $\"sin%28A%2BB%29=-1\"$ \n" ); document.write( "

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