document.write( "Question 882470: Find the exact value of the following expression...\r
\n" ); document.write( "\n" ); document.write( "cos(sin^-1(3/5) + cos^-1(5/13))
\n" ); document.write( "

Algebra.Com's Answer #532956 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Find the exact value of the following expression...
\n" ); document.write( "cos(sin^-1(3/5) + cos^-1(5/13))
\n" ); document.write( "***
\n" ); document.write( "let x=angle whose sin=3/5
\n" ); document.write( "sinx=3/5
\n" ); document.write( "cosx=4/5
\n" ); document.write( "..
\n" ); document.write( "let y=angle whose cos=5/13
\n" ); document.write( "cosy=5/13
\n" ); document.write( "siny=12/13
\n" ); document.write( "..
\n" ); document.write( "cos(sin^-1(3/5) + cos^-1(5/13))=cos(x+y)=cosxcosy-sinxsiny
\n" ); document.write( "cos(x+y)=4/5*5/13-3/5*12/13=20/65-36/65=-16/65
\n" ); document.write( "
\n" );