This video goes crazy!!! One of the best I've seen so far explaining this topic!! I immediately subscribed, from one Math Educator to another!
@fredkong6671
16 күн бұрын
Welcome aboard!
@doloreshernandez5149
2 жыл бұрын
Thank you so much for the graphs in motion! It is like cause and effect happening at the same time visually! The process is so clear!
@fredkong6671
2 жыл бұрын
Thanks for the feedback! It’s always helpful to be able to see concepts in action!
@mehmetaygunes
Жыл бұрын
This is one of the videos that visualises the sin cos function very well..Thank you
@THE_ONLY_GOD
Жыл бұрын
Thanks for posting a video clarifying why a linear increase in input to a sine function oscillates.
@fredkong6671
Жыл бұрын
I like the way you put that!
@MacMcLinn
2 жыл бұрын
This video is really, really good. I totally understand the relation now.
@fredkong6671
2 жыл бұрын
Thanks for the vote of confidence. I’m glad it was helpful!
@vikaskumar-xt8pe
3 жыл бұрын
Excellent visualization sir
@fredkong6671
2 жыл бұрын
Thank you!
@soheilaghassemi1095
2 жыл бұрын
Thanks, for your explaining
@fredkong6671
2 жыл бұрын
Glad it was helpful!
@philipjohn1338
5 ай бұрын
My mind is blown. Thanks for the video
@fredkong6671
5 ай бұрын
You’re welcome!
@apurva-wishmeon1508
6 ай бұрын
Amazing explanation sir🎉❤thank you so much😊🎉
@fredkong6671
6 ай бұрын
You’re welcome! Glad it helped you!
@babupriya8814
Ай бұрын
Thank you.
@fredkong6671
16 күн бұрын
You're welcome!
@JyotiClasses
2 жыл бұрын
Amazing...
@fredkong6671
2 жыл бұрын
Thank you!
@jeffaynesworth3986
4 ай бұрын
Fred, are you willing to share that DESMOS graph? I teach Precalculus and that was pretty damn cool!
@balkrishanmeena6324
11 ай бұрын
❤❤
@scottwilling5315
2 жыл бұрын
Extremely valuable for helping my 1st level electrician students visualize the relationship. If I may ask, how is the animation produced? Please don't tell me you wrote it from scratch. 😩 I'm looking for something that would allow me to control the angle arbitrarily in real time. A lot of my instruction has had to move online in the age of Covid and it can be tough to hold students' attention with my crude graphic tablet + software whiteboard sketches.
@fredkong6671
2 жыл бұрын
I'm glad the animation is helpful for your students. I used desmos to create the animation. It's easy to use and very intuitive. I have attached a link to the animation and encourage you to modify it for your own use. Please let me know if you have any other questions! Here is the link: www.desmos.com/calculator/9wxznmorjc
@scottwilling5315
2 жыл бұрын
@@fredkong6671 Sweet, thanks so much.
@THE_ONLY_GOD
Жыл бұрын
So the theta that is the input into sine is from the rotation of the side of the triangle inside the Unit Circle that has a constant length (still talking about the side of the triangle) that is the radius of the circle?
@fredkong6671
Жыл бұрын
Yes exactly. Or another way to out it, the theta represents the rotation angle that arises from the positive x-axis and terminates at the particular radius.
@THE_ONLY_GOD
Жыл бұрын
@@fredkong6671 Thanks for confirming that! For software engineering and shader programming that can actually be applied so I am thankful that I generally understand the most important parts of Trigonometry now! Thanks again!
@furqanshariff
Жыл бұрын
Thanks sir
@fredkong6671
Жыл бұрын
You’re welcome!
@wodeyaeric5351
2 жыл бұрын
Beautiful. How can one visualise calculus?
@fredkong6671
Жыл бұрын
Stay tuned for a calculus visualization video!
@aborne
5 ай бұрын
Would you be willing to share your Desmos Graph? I'm baffled how you drew a purple curve from 0,0 to the sine point.
@fredkong6671
5 ай бұрын
I do not have the file anymore, but I just used polar coordinates on Desmos. You can simply define your circle by naming its radius. You can also establish a parameter that is common to both the sine function and a point moving in a corresponding manner around the unit circle. I believe you can also find a file by searching “unit circle” and “Desmos”. Good luck!
@THE_ONLY_GOD
Жыл бұрын
"Terminal" is the side of the triangle that is a constant length that is the radius of the Unit Circle, right?
@fredkong6671
Жыл бұрын
Correct!
@THE_ONLY_GOD
Жыл бұрын
@@fredkong6671 Saw now. Apologies for the delayed reply! Thanks for for confirming that!
@THE_ONLY_GOD
Жыл бұрын
So basically the diff between output of sine and cosine is: If the input starts at zero and increases linearly, then sine output starts at origin and cosine output starts at x=0, y=1?
@fredkong6671
Жыл бұрын
Right again!
@THE_ONLY_GOD
Жыл бұрын
@@fredkong6671 Great! Thanks!
@sesamoide
5 ай бұрын
Could you please let us know what application you use to visualize these functions?
@fredkong6671
5 ай бұрын
Yes, this is the Desmos graphing tool available at Desmos.com.
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