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TEA [102]
3 years ago
8

Express cos5mcos(-3m) as a sum or difference.

Mathematics
1 answer:
balandron [24]3 years ago
7 0

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

= \frac{1}{2} ( 5m + 3m) + cos(5m - 3m) ]

= \frac{1}{2} cos 8m + \frac{1}{2} cos 2m

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