Prime Newtons is my prime source of math knowledge. Bravo, sir! 🎉😊
@albajasadur26942 ай бұрын
We can also try to express sin^2(x) in terms of e^(i.2x) and e^(-i.2x). The Maclaurin series of the function e^(ix) is also well known.
@jasonryan25452 ай бұрын
This was fun .... And literally a beautiful result. An equation that gives you what you need is nothing short of that word. Loved your explanation once again, Prime Newtons!
@mariogomez81492 ай бұрын
I rarely comment on videos, but I have to say: The way you present these concepts is amazing!
@yuyuvybz2 ай бұрын
"I rarely comment on videos" is that supposed to make your comment of more quality that others? 😂😂😂
@Abby-hi4sf2 ай бұрын
So neat, the way you explain it. I wish all math students have a chance to view your channel! .
@raymondseligman70032 ай бұрын
I find the analysis and explanations in this series just wonderful. While a PhD or advanced degree is certainly not a requirement to be smart and be able to get information across, it is very rare I think to find someone who apparently does not have those qualifications do such an incredible job. Where did you the scope of your knowledge of mathematics that you so clearly Express? Keep it up and don’t stop.
@MathsScienceandHinduism2 ай бұрын
As a maths educator and youtube creator, one of my fav channels to follow is Prime Newtons.
@Abby-hi4sf2 ай бұрын
You are the most gifted teacher! I was trying to find your older video of solving (x+7)^7= x^7 + 7^7 , to show it to the friend, it took me a while. If you put the equations on the title it is easy to find them easily in KZbin too.
@joshdilworth36922 ай бұрын
How do you recommend a problem? I have one function I'd like you to look at that I've written that I think would be interesting to explore. Thank you for all of the maths that you do, and learning you facilitate!
@stoqntoshev28172 ай бұрын
Can't we use that sin^2(x)=(1-cos(2x)/2 and the Maclaurin series for cos(x)?
@nanamacapagal83422 ай бұрын
He does this in the second half of the video, at 11:01
@stoqntoshev28172 ай бұрын
@@nanamacapagal8342 Sorry. I didn't watch the whole video.
@Vega14472 ай бұрын
Why would anyone not use the double angle formula?
@maxhagenauer242 ай бұрын
You could also just take the very simple maclaurin series for sin(x) and square it. So ( x - x^3/3! + x^5/5! - ... )^2.
@Grecks752 ай бұрын
@@maxhagenauer24But that expression is not a McLaurin series in itself as was asked for. In order to get one, you need to multiply the product of the two infinite sums out by folding the coefficients. That is not so easy!
@johnnolen83382 ай бұрын
Very cool! 😎
@ars75952 ай бұрын
Bro added life lesson for climatic end 😂
@terryendicott2939Ай бұрын
Another way of doing this is to take the Maclaurin series for sin(x) and square that series.
@abdullahbarish82042 ай бұрын
Thank you
@RyanLewis-Johnson-wq6xs2 ай бұрын
Maclaurin series of f(x)=2 x=(1-cos(2x))/2 sin
@Dhruven-t22 ай бұрын
My dumbass would do (x-x³/3!+x⁵/5!)²😂
@emanuellandeholm56572 ай бұрын
You can do that, but then you have to use the Cauchy product formula.