Differentiate and simplify: f(x)=sin^2(2x)-cos^2(2x)

  • Thread starter ttpp1124
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  • #1
ttpp1124
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Homework Statement:
Has this been simplified fully?
Relevant Equations:
n/a
Screen Shot 2020-05-11 at 10.11.17 PM.png
 

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  • #4
BvU
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Is that an answer to the quesion in post #1 or the one in post #2 ? Or both ? :cool:

Let me ask @ttpp1124 : do you expect there exists a simpler expression ? In what way ?
 
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  • #5
benorin
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yes, it is fully simplified, and of course with trig you could go in many circles with identities but I believe the one stopped at is simplest.
 
  • #6
ttpp1124
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Do you have a question here?
yes, sorry, I forgot to include the question! here it is:
 

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  • #7
pasmith
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I would use [itex]\cos (2\theta) = \cos^2 \theta - \sin^2\theta[/itex], from which immediately [itex]y = -\cos(4x)[/itex].
 
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  • #8
BvU
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yes, sorry, I forgot to include the question! here it is:
Not much of a question !

Kudos @pasmith : the simplest path to the simplest result !
 

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