document.write( "Question 855933: How would I find cos(x-y) if cos x= 3/5 and cos y= 4/5 when the exact value needs to be between 0 and 90 degrees. I have tried to subtract 3/5 and 4/5 to get cos -1/5 but I don't know what to do \n" ); document.write( "
Algebra.Com's Answer #515637 by stanbon(75887) ![]() You can put this solution on YOUR website! How would I find cos(x-y) if cos x= 3/5 and cos y= 4/5 when the exact value needs to be between 0 and 90 degrees. \n" ); document.write( "---- \n" ); document.write( "If cos(x) = 3/5, sin(x) = sqrt(5^2-3^2)/5 = 4/5 \n" ); document.write( "------ \n" ); document.write( "If cos(y) = 4/5, sin(y)= sqrt(5^2-4^2)/5 = 3/5 \n" ); document.write( "------ \n" ); document.write( "cos(x-y) = cos(x)cos(y)+ sin(x)sin(y) = (3/5)(4/5)+(4/5)(3/5) \n" ); document.write( "------ \n" ); document.write( "= (12+12)/25 = 24/25 \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |