Uploaded June 2016 | Updated September 2026, 2 weeks ago
In this video I go through a "proof" of the angle sum identities for sine and cosine. The only thing you need to know before getting started is Euler's formula. If you can remember that, you can re-derive these identities if you forget them on a test!
In this video I go through a "proof" of the angle sum identities for sine and cosine. The only thing you need to know before getting started is Euler's formula. If you can remember that, you can re-derive these identities if you forget them on a test!
![Explained: Axes GUI [MATLAB]](https://i.ytimg.com/vi/imyF5QjJ5c8/mqdefault.jpg "Explained: Axes GUI [MATLAB]
Axes can be used to display data on a plot, or even to display an image. This video shows how to display a plot with data in a MATLAB GUI.")
![Explained: Waitbar [MATLAB]](https://i.ytimg.com/vi/k2wKPxRUPiE/mqdefault.jpg "Explained: Waitbar [MATLAB]
A waitbar (or progress bar) allows you to visualize when a program will finish. The argument to the waitbar fills up the bar with the percentage specified. While its a fun way to see how long you have to wait until everything is done computing, it is extremely time consuming, and I would probably recommend just outputting data to the command window using fprintf.")
![Explained: NACA 4-Digit GUI Part 10/10 [MATLAB]](https://i.ytimg.com/vi/kk-5MShSTwA/mqdefault.jpg "Explained: NACA 4-Digit GUI Part 10/10 [MATLAB]
This is the last video in my 10-video series on coding a program in MATLAB to compute, display, and save a NACA 4-digit airfoil.
IN THIS VIDEO:
We add in the code for saving the airfoil data out to a text file. Both the LE to TE and TE to LE methods are coded. A comparison between the output from this code and the data from the UIUC airfoil data site (see link below) is made to confirm that our code works the way it should.
UIUC Airfoil Data Site:
http://m-selig.ae.illinois.edu/ads/coord_database.html
IN THIS SERIES:
Part 1/10 : https://goo.gl/9UBgbo
Part 2/10 : https://goo.gl/jRRcYJ
Part 3/10 : https://goo.gl/rSVLHo
Part 4/10 : https://goo.gl/HwHB39
Part 5/10 : https://goo.gl/AlDne8
Part 6/10 : https://goo.gl/7n1QP7
Part 7/10 : https://goo.gl/nTGleR
Part 8/10 : https://goo.gl/ez247P
Part 9/10 : https://goo.gl/8mXYcc
Part 10/10: https://goo.gl/ovBlbW
If youve made it this far, thanks for watching! I hope you enjoyed it. Let me know if you have any questions or comments.")
