Asked by Janique
Express cos9x+cos5x as a product.
Can you just multiply the 9 and 5 to get: cos45x
? is that a product?
Can you just multiply the 9 and 5 to get: cos45x
? is that a product?
Answers
Answered by
Reiny
oohhhh noooo!
we have a formula
cosA + cosB = 2cos(A+B)/2 * cos(A-B)/2
so cos 9x + cos 5x = 2cos(9x+5x)/2 cos(9x-5x)/2
= 2(cos 7x)(cos 2x)
we have a formula
cosA + cosB = 2cos(A+B)/2 * cos(A-B)/2
so cos 9x + cos 5x = 2cos(9x+5x)/2 cos(9x-5x)/2
= 2(cos 7x)(cos 2x)
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