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Margarita [4]
3 years ago
15

Rewrite the expression as a sum or difference, then simplify if possible.

Mathematics
1 answer:
Paraphin [41]3 years ago
7 0

the expression  8sin7xcos4x  as a sum or difference is  4(sin(7x+4x)+sin(7x-4x)) and , is simplified as  4sin11x+4sin3x .

<u>Step-by-step explanation:</u>

We need to rewrite the expression as a sum or difference , them simplify if possible  , And the expression is : 8sin7xcos4x

From trigonometric identity we know that

2sinAcosB = sin(A+B)+sin(A-B)

Using the above identity we get:

⇒  8sin7xcos4x

⇒  4(2sin7xcos4x)

⇒  4(sin(7x+4x)+sin(7x-4x))

⇒  4(sin(11x)+sin(3x))

⇒  4sin11x+4sin3x

Therefore , the expression  8sin7xcos4x  as a sum or difference is  4(sin(7x+4x)+sin(7x-4x)) and , is simplified as  4sin11x+4sin3x .

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