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Write sin3xCos2x + cos3xsin2x as a single trigonometric function

Write sin3xCos2x + cos3xsin2x as a single trigonometric function
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Write sin3xCos2x + cos3xsin2x as a single trigonometric function

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User Ygrek
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8.9k points

1 Answer

3 votes
For any angles formula is:
sin(a+b)=sinαcosβ+cosαsinβ
In our exercise :
α=3x β=2x
sin3xcos2x+cos3xsin2x=sin(3x+2x)=sin(5x)
Result is : sin5x
answered
User Ryan D
by
8.2k points
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