document.write( "Question 882470: Find the exact value of the following expression...\r
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document.write( "cos(sin^-1(3/5) + cos^-1(5/13)) \n" );
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Algebra.Com's Answer #532956 by lwsshak3(11628) ![]() 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( " |