High School Happy Christmas: Is it Really True?

Click For Summary
The discussion centers on the validity of a mathematical claim related to the binomial theorem and its resemblance to Chebyshev polynomials. Participants question the truth of the assertion and its implications. The effectiveness of Chebyshev polynomials is noted, particularly their utility for cosines, while their application to sines is deemed less beneficial. The conversation also hints at potential rule violations due to repeated postings. Overall, the thread explores the intersection of mathematical concepts and their practical applications.
George Keeling
Gold Member
Messages
183
Reaction score
42
TL;DR
sine and cosine power trees
Christmas 2021.png

Is this really true? It resembles the binomial theorem.
I've posted it twice which might be breaking rules. Happy Christmas PF.
 
Reply
  • Like
  • Haha
Likes Hamiltonian, jim mcnamara, PeroK and 1 other person
Mathematics news on Phys.org

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

Music Listening to Corelli's Christmas Music for the Holidays
  • · Replies 11 ·
Replies
11
Views
3K
Digital oscilloscope for high school use
  • · Replies 41 ·
2
Replies
41
Views
8K
Schools Question About Relevance of a HBSc degree at UofT Compared to US Universities
  • · Replies 23 ·
Replies
23
Views
4K
Medical Extreme depression-how to deal with in the interim period
  • · Replies 31 ·
2
Replies
31
Views
8K
I Can't Take it Anymore -- I love to learn, yet I don't like school
  • · Replies 22 ·
Replies
22
Views
4K
Physics Unsure of my future in physics
  • · Replies 2 ·
Replies
2
Views
2K
Job Advice Question: Physics PhD
  • · Replies 10 ·
Replies
10
Views
3K
Admissions Safety School Programs for a Physics PhD
  • · Replies 4 ·
Replies
4
Views
4K
Programs Experimental physics, applied math, or both?
  • · Replies 1 ·
Replies
1
Views
2K
Engineering I’m having second thoughts about my job position. How can I proceed with it?
  • · Replies 13 ·
Replies
13
Views
5K