Graphing the Sine & Cosine Functions - [2-21-8]

  Рет қаралды 31,112

Math and Science

Math and Science

Жыл бұрын

More Lessons: www.MathAndScience.com
Twitter: / jasongibsonmath
In this lesson, we will learn how to graph the sine and cosine functions in trigonometry and precalculus. These two functions are arguably the most important functions in math. We will learn that the sine and cosine functions are projections of the radius of a circle onto the x and y axis. The cosine is the projection onto the x-axis, while the sine is the projection onto the y-axis. Additionally. Any other periodic function can be reconstructed by an infinite sum of sine or cosine functions. This is called Fourier analysis.

Пікірлер: 42
@lyricass7810
@lyricass7810 4 ай бұрын
You are true master when it comes maths explanation conceptually.
@philipjohn1338
@philipjohn1338 10 ай бұрын
You are a master at teaching. Thank you for posting free videos, they are invaluable to many students.
@SurenRangaraju
@SurenRangaraju Жыл бұрын
Hi Mr.Jason - You are such an amazing teacher. As a parent I learn a lot from your videos to teach my kids and broaden my own understanding. This video on sine and cosine is pure gold. THANK YOU!!!
@AdityaMishra-gd6vb
@AdityaMishra-gd6vb Жыл бұрын
Sir now a days I realy on you to understand these vital topics . A request please keep making these type of lectures . You are the best teacher I have seen.
@pistolpete349
@pistolpete349 Жыл бұрын
Your lesson today brings back fond memories of Electrical A/C Theory and many years of learning. Great presentation. Thank you.
@pinkfrogg
@pinkfrogg Жыл бұрын
Incredible lecture. Thank you so much! The most helpful video on KZfaq!!!
@wilkyclergeot9416
@wilkyclergeot9416 Жыл бұрын
" The best ever in everything"
@MathAndScience
@MathAndScience Жыл бұрын
Wow thanks!
@nisri1567
@nisri1567 Жыл бұрын
Excellent! They way you present you lecture, realy surprising! Thank you for the effort and precious time you are investing to teach the whole world.
@MathAndScience
@MathAndScience Жыл бұрын
You are very welcome!
@dammitmom
@dammitmom Жыл бұрын
literally a life saver ! your style of teaching is amazing and very helpful 2 someone with adhd
@freedomaugustus1555
@freedomaugustus1555 Жыл бұрын
i've been waiting for the graph of trig functions.. thank u for that ❤
@boonga585
@boonga585 11 ай бұрын
Just wanted to say thank you for everything tremendously helpful
@mariocesarsousa
@mariocesarsousa Жыл бұрын
Indeed it is teacher. Ive just started series and signs with Oppenhein's book and i need to improve my understanding of integrals too. Great and important lesson.✍️✍️✍️✍️
@IsaacHernandez-dr1th
@IsaacHernandez-dr1th 8 ай бұрын
OMG thank you. I wish you were my math professor.
@letelete3631
@letelete3631 Жыл бұрын
Thank you, I love your lessons❤
@qullin_2238
@qullin_2238 Жыл бұрын
I want you to know that the computer demo was brilliant! Btw i know this is unrelated but in the future calculus lessons could you explain in a bit more detail exactly why the derivative can also be written as "dy/dx" ? For me the fact that they are divided is confusing, i'm sure i'm not the only one!
@AugustineJOwamiNthemwe-oq1gu
@AugustineJOwamiNthemwe-oq1gu Жыл бұрын
You are an awesome lecturer
@darkfox77
@darkfox77 Жыл бұрын
Very good video. Very good examples.
@simpleman283
@simpleman283 Жыл бұрын
Good lesson. I'll have to watch the function shift a few times. 35:20
@RamiK101
@RamiK101 Жыл бұрын
Great stuff! Thank you, again. Such a great breakdown.
@MathAndScience
@MathAndScience Жыл бұрын
Thank you!
@malihamehjabinnafisa29
@malihamehjabinnafisa29 Жыл бұрын
Thanks for your important video.
@ByronKapavolomo
@ByronKapavolomo Ай бұрын
Best move 😊
@johnbond938
@johnbond938 9 ай бұрын
Very helpful thanks very much
@rajant318
@rajant318 10 ай бұрын
Why graphs of sine fuction do not resemble unit circle? Why these graphs are always bellshaped
@tresajessygeorge210
@tresajessygeorge210 Жыл бұрын
THANK YOU... SIR...!!!
@michaelzap8528
@michaelzap8528 3 ай бұрын
After watching this video i decide to Let my son register your course
@Its.namnam813
@Its.namnam813 Жыл бұрын
Thank you sir
@thexman5856
@thexman5856 Жыл бұрын
You do a great job 👍
@MathAndScience
@MathAndScience Жыл бұрын
Thanks so much!
@sxmmii_gxchaa774
@sxmmii_gxchaa774 Жыл бұрын
Thank you
@silentbooks3879
@silentbooks3879 7 ай бұрын
Awesome
@drumtwo4seven
@drumtwo4seven Жыл бұрын
Nice 👍
@mewsicman9541
@mewsicman9541 Жыл бұрын
I've gained an additional knowledge again today! Thanks sir Jason!
@abdirasak5597
@abdirasak5597 Жыл бұрын
Plz why on the table you have shown when added both cosine and sines are not equal to one
@hemarajue2736
@hemarajue2736 Жыл бұрын
I think sin(π/2-x) and sin(x-π/2) represent the same phase shift except changing their sign.
@sosobara6039
@sosobara6039 Жыл бұрын
Non variable reasning please
@drkrunchy8791
@drkrunchy8791 4 ай бұрын
i love yah
@jbird4478
@jbird4478 8 ай бұрын
I've seen a lot of videos about this by now, but each and everyone of them just keeps referring to the same basic angles. As if all angles are are either multiples of pi/6 or multiples of pi/4. Arbitrary angles are apparently not a thing, and when someone does mention it, it always boils down to "now let's grab the calculator/computer". Surely these computers do not apply magic, but whatever it is they do when you press sin(x) seems a secret nobody is willing to explain. I highly doubt that in order to graph sin they point to an already existing graph, like this videos does. I don't want to be too negative, but you have numerous videos just explaining the same thing over and over again. Yes, I get it. A circle goes round and round and thus sin keeps repeating. I was hoping at some point you'd get beyond that and explain exactly how the outcome of these functions is calculated - not the basic angles, but for arbitrary input.
@rithevikaravind815
@rithevikaravind815 Жыл бұрын
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