Can you multiply the double angle forumla?

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musiclover55
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Homework Statement


I have sin4x, can I use the double angle formula and make it 4sinxcosx?


Homework Equations


double angle formula


The Attempt at a Solution


sin4x----> 4sinxcosx
 
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...try graphing both and see if they're the same.
 
musiclover55 said:

Homework Statement


I have sin4x, can I use the double angle formula and make it 4sinxcosx?
In a word, no.
The double-angle formula says that sin(2A) = 2*sin(A)cos(A).

When you use formulas, you need to be very careful to follow the pattern being used.
If you write sin(4x) as sin(2(2x)), you can use the double-angle formula, replacing A in the above by 2x.
musiclover55 said:

Homework Equations


double angle formula


The Attempt at a Solution


sin4x----> 4sinxcosx