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

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.

[lyricass]

You are true master when it comes maths explanation conceptually.

[philipjohn]

You are a master at teaching. Thank you for posting free videos, they are invaluable to many students.

[SurenRangaraju]

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-gdvb]

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.

[pistolpete]

Your lesson today brings back fond memories of Electrical A/C Theory and many years of learning. Great presentation. Thank you.

[pinkfrogg]

Incredible lecture. Thank you so much! The most helpful video on Youtube!!!

[nisri]

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.

[greenroads]

Sir you are great. I thank you for making this concept clear.

[mariocesarsousa]

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.✍️✍️✍️✍️

[wilkyclergeot]

" The best ever in everything"

[IsaacHernandez-drth]

OMG thank you. I wish you were my math professor.

[boonga]

Just wanted to say thank you for everything tremendously helpful

[freedomaugustus]

i've been waiting for the graph of trig functions.. thank u for that ❤

[qullin_]

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!

[mewsicman]

I've gained an additional knowledge again today! Thanks sir Jason!

[rajant]

Why graphs of sine fuction do not resemble unit circle? Why these graphs are always bellshaped

[simpleman]

Good lesson. I'll have to watch the function shift a few times. 35:20

[RamiK]

Great stuff! Thank you, again. Such a great breakdown.

[dammitmom]

literally a life saver ! your style of teaching is amazing and very helpful 2 someone with adhd

[hemarajue]

I think sin(π/2-x) and sin(x-π/2) represent the same phase shift except changing their sign.