$\cos (x+y)$
\( \boxed{\cos (x+y) = \cos x \cos y - \sin x \sin y} \)
Step 1 :Given the expression: \( \cos (x+y) \)
Step 2 :Using the trigonometric identity: \( \cos (x+y) = \cos x \cos y - \sin x \sin y \)
Step 3 :\( \boxed{\cos (x+y) = \cos x \cos y - \sin x \sin y} \)