Problema Solution

I want to know how you simplify this expression: cos(4x + 5y) + cos(4x - 5y)

Answer provided by our tutors

cos (a+b)= cos a cos b - sin a sin b

cos (a-b)= cos a cos b + sin a sin b

we use these formulas: 

cos(4x + 5y) + cos(4x - 5y)=

(cos 4x* cos 5y- sin 4x * sin 5y)+ (cos 4x * cos 5y + sin 4x *sin 5y)= 2 (cos 4x* cos 5y)