How do you simplify #cos(x-y)+sin(x-y)# to trigonometric functions of x and y?
1 Answer
Mar 9, 2016
= cos y(sin x + cos x) + sin y(sin x - cos x)
Explanation:
cos (x - y) = cos x.cos y + sin x.sin y
sin (x - y) = sin x.cos y - sin y.cos x
cos (x - y) + sin (x - y) = cos y(sin x + cos x) + sin y(sin x - cos x)
