Answer:
D
Step-by-step explanation:
Using the product to sum formula
• 2cosAcosB = cos(A+B) + cos(A - B)
note that cos(- 3m) = cos 3m, hence
cos5m cos(- 3m)
= cos 5m cos3m ← A = 5m and B = 3m
= [tex]\frac{1}{2}[/tex] ( 5m + 3m) + cos(5m - 3m) ]
= [tex]\frac{1}{2}[/tex] cos 8m + [tex]\frac{1}{2}[/tex] cos 2m