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Express the given sum or difference as a product of sines and/or cosines. sin x + sin 9x

sin x + sin 9x =__

User Nam Bui
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Final answer:

The sum can be expressed as a product of sines and cosines: 2sin(5x)cos(-4x).

Step-by-step explanation:

To express the given sum as a product of sines and/or cosines, we can use the trigonometric identity:

sin(a) + sin(b) = 2sin((a+b)/2)cos((a-b)/2)

Applying this identity to the given sum, we have:

sin(x) + sin(9x) = 2sin((x+9x)/2)cos((x-9x)/2)

Simplifying,

sin(x) + sin(9x) = 2sin(5x)cos(-4x)

The given sum can be expressed as a product of sines and cosines as 2sin(5x)cos(-4x).

User Hammies
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