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

  • Thread starter ttpp1124
  • Start date
  • #1
110
4

Homework Statement:

Has this been simplified fully?

Relevant Equations:

n/a
Screen Shot 2020-05-11 at 10.11.17 PM.png
 

Answers and Replies

  • #4
BvU
Science Advisor
Homework Helper
2019 Award
13,429
3,198
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 ?
 
Last edited:
  • #5
benorin
Homework Helper
Insights Author
Gold Member
1,258
71
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.
 
  • Like
Likes BvU
  • #7
pasmith
Homework Helper
1,777
445
I would use [itex]\cos (2\theta) = \cos^2 \theta - \sin^2\theta[/itex], from which immediately [itex]y = -\cos(4x)[/itex].
 
  • Like
Likes BvU and PeroK
  • #8
BvU
Science Advisor
Homework Helper
2019 Award
13,429
3,198
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 !
 

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

Replies
1
Views
126
  • Last Post
Replies
3
Views
1K
Replies
1
Views
4K
  • Last Post
Replies
9
Views
3K
Replies
4
Views
16K
Replies
8
Views
27K
Replies
1
Views
142
Replies
2
Views
154
Replies
12
Views
4K
  • Last Post
Replies
4
Views
8K
Top