How do you simplify cot(x+y)-sin(x+2y)cot(x+y)sin(x+2y) to trigonometric functions of x and y?

1 Answer
Aug 10, 2016

cos(x+y)-sin(x+2y)cos(x+y)sin(x+2y)

=cosxcosy-sinxsiny-sinxcos2y-cosxsin2y=cosxcosysinxsinysinxcos2ycosxsin2y

=cosxcosy-sinxsiny-sinx(2cos^2y-1)-2cosxsinycosy=cosxcosysinxsinysinx(2cos2y1)2cosxsinycosy

=cosxcosy-sinxsiny-2sinxcos^2y+sinx-2cosxsinycosy=cosxcosysinxsiny2sinxcos2y+sinx2cosxsinycosy