document.write( "Question 1039994: cos(A-B)-sin(A+B)
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Algebra.Com's Answer #654808 by ikleyn(52908) You can put this solution on YOUR website! . \n" ); document.write( "cos(A-B)-sin(A+B) \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos(A-B) = cos(A)*cos(B) + sin(A)*sin(B), (1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sin(A+B) = sin(A)*cos(B) + cos(A)*sin(B) (2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(see any textbook on or including Trigonometry, or the lesson in this site Addition and subtraction formulas). \n" ); document.write( "Taking the difference of (1) and (2), you get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos(A-B) - sin(A+B) = cos(A)*cos(B) + sin(A)*sin(B) - sin(A)*cos(B) - cos(A)*sin(B) = \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " = cos(A)*(cos(B)-sin(B)) + sin(A)*(sin(B)-cos(B)) = (cos(A)-sin(A))*(cos(B)-sin(B)).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The solution by the other tutor is wrong.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |