document.write( "Question 445211: if cos(x+y)=0.7547 and cos(x-y)=0.9703, then find the value of cos(x)cos(y). \n" ); document.write( "
Algebra.Com's Answer #306756 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " cos(x+y)=0.7547 and cos(x-y)=0.9703\r\n" ); document.write( "\r\n" ); document.write( "find the value of cos(x)cos(y)\r\n" ); document.write( "\r\n" ); document.write( "cos(x+y) = cos(x)cos(y) - sin(x)sin(y) = 0.7547\r\n" ); document.write( "cos(x-y) = cos(x)cos(y) + sin(x)sin(y) = 0.9703 Now add these eqs.:\r\n" ); document.write( "-----------------------------------------------\r\n" ); document.write( " 2cos(x)cos(y) = 1.7250 \r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " 2cos(x)cos(y) = 1.7250\r\n" ); document.write( "\r\n" ); document.write( "Divide both sides by 2:\r\n" ); document.write( "\r\n" ); document.write( " cos(x)cos(y) = .8625\r\n" ); document.write( " \r\n" ); document.write( "Edwin\n" ); document.write( " |