Trigonometry - The graphs of sin and cos

[@emersonbrazilfrancisco3009]

I like how he discuss it clearly, how he draw and explain it clean which makes me understand easily

[@squidman0027]

Thank you so much. This helped me a lot with my pre-calc test. :)

[@swapnilpatil8117]

Thank you so much,I'm struggling to understand it from 2days and now I understand it better👍 Your new subscriber

[@abdoennajah2702]

Thanks man and great explanation, finally i understand why trigonometric functions have these shapes ❤

[@maggieandrews7676]

Thank you so much this explanation helped a ton. It just clicked

[@pinheadlarry2506]

How would I know the difference between the sine and cosine graphs after they have been shifted? Sometimes a shifted cosine graph can look just like a regular sine graph so is there any way I can tell the difference when comparing? Some of my HW questions asked me to create the equation from scratch by looking at a pre-made graph and I was worrying for some of them because I couldn't tell if it was just a regular sine graph or a shifted cosine graph. plz help

[@pianoguy5110]

Turn the graphs 90° the graph which makes the shape of letter "S" is a sin graph and "c" is a cos graph Another thing sin starts from 0 but cos starts from 1

[@pinheadlarry2506]

@@pianoguy5110 I appreciate the comments but I ended up studying so hard that I eventually jammed it into my brain😂. Guess it worked out because I got a 96 in the class. Let’s hope I keep similar results this semester in calculus. Once again tho, thanks for the comment. Good luck on all future endeavors!

[@pianoguy5110]

@@pinheadlarry2506 you're welcome and all the best for your exams 😁

[@iceyygamez2955]

This helped me out a ton!! thank you so much!!

[@akeibazli8942]

My good sir...you had helped me alot...but i recommend you to give some example question in your other videos in the near future,thank you

[@veonl4219]

Thks for the great explanations! I found cos [(5*pi)/2] = to -3.49 + e ^(-11), which is very close to zero..... wonder why it's not exactly zero

[@prajwalchavhan1941]

Buddy it was helpful 👍👍

[@kushagrakapoor9181]

You are LITERALLY the bestttt

[@cherryannconsar3727]

I still cant understand where that values and curve came from

[@just2581]

If you divide a quadrant of a circle in 4 equal parts that would mean that each part is 22,5 degrees (90÷4). You make it seem like the sine of 22,5 degrees is 0,5 instead the sine of 30 degrees is 0,5. Or am I misinterpreting your drawing?

[@MySecretMathTutor]

I think you are misinterpreting the drawing. When I draw those common angles they are not evenly spaced out. The 45 degrees is have way. but the 30 and the 60 are 1/3 and 2/3 of that first quadrant. Let me know if that helps. :^D

[@just2581]

@@MySecretMathTutor Thanks for explaining! Indeed I hear you say π/6 at the first line👍🏽

[@merekhayaalsay]

@@MySecretMathTutor thanks for explaining . i got confused about it

[@saadsrequiemforsasuke7041]

Thank you! have explained it well and clearly how to draw the sin and cos graphs in trigonometry but in what case would the sin or cos graph start as negative..??!! The answer is needed asap because I have exam!!

[@georgia-0-0-0]

You ever get an answer?

[@safsaf186]

thank you a looot it's really helpfull

[@shore5489]

Really helpful thanks a lot. So if we compare sine with cosine 0 to 45 cosine is bigger And 45 to 90 sine is bigger If we compare their value.

[@straightforward5916]

Thank you very much sir... I understood the graph concept of sine and cosine properly. The use of circle radian value system help a lot in my case....Love from India....

[@MySecretMathTutor]

Excellent! :^D

[@TUF3557]

Thanks a lot @MySecretMathTutor

[@malayapanda7952]

Can you tell me why you chose pie

[@MySecretMathTutor]

Pi is common number when working with radians, so its helpful to think how this number gets divided up. After a bit of practice you'll get good at being able to visualize where the common radian angles are. :^D

[@malayapanda7952]

Thanks

[@scottslatter9480]

Why does he use Pi instead of degrees?

[@MySecretMathTutor]

Just two different ways to describe an angle. If you will learn calculus later, it is important that you know radians.

[@sohailjanjua123]

Hi, I like your lecture.Thanks

[@evan8941]

thank you for giving us your time!

[@minvs]

THIS HELPED!

[@JFrost-rf8ix]

5: 10 can u explain what the y value actually tells for a particular degree of sine ?

[@MySecretMathTutor]

If we think of a unit circle, and a point on that circle, the y value for sine gives us the distance from the x-axis to the point. :^D

[@tomvanzanten479]

Why has the cosine function been moved over, resulting in it never crossing X=0?

[@MySecretMathTutor]

It crosses x = 0. (The vertical line when x = 0) I think you mean it never goes through the origin. the point (0,0)

[@tomvanzanten479]

@@MySecretMathTutor yes exactly. I don't know why it's shifted up.

[@mathewmcfool]

Nice work

[@anshukchaturvedi2486]

I still couldn't get why cos graph is started like that . And how Cos is X coordinate on Unit circle

[@straightforward5916]

You see that the value of Sin 0 is 0 , so it started from the origin but the value of Cos 0 is 1 so it started from the top of the graph .... Note , sir drew the radian circle value for Sine theta only....you could similarly draw it for cosine....It is just the reverse of Sine....

[@5hikharsingh]

Really helpful 👌

[@elinesiobrito3333]

Good job!

[@dice358]

Why do we have to use π instead of 1234~ counting numbers ?

[@MySecretMathTutor]

When working with numbers, "pi" ends up being a natural number to use. When dealing with growth the number is "e". It all depends on what your context is, and what values make the most sense. Hope that helps. :^D

[@dice358]

@@MySecretMathTutor thank you

[@bepositive325]

Tq so much simple and clear

[@khqlifq]

why is it 2 pi?

[@MySecretMathTutor]

You can represent the distance around a circle (with a radius of 1) as 2pi. What you are seeing then is how we can use these distance markers like angles. If we go all the way around, then we have the entire circumference of 2pi. :^D

[@MrEcted]

@@MySecretMathTutor This is why tao makes much more sense than pi. Pi was a mistake and I blame Euler (even though the concept of pi existed long before him) :). 2pi and trigonometric functions is where students really start to lose interest because pi represents 1/2 a period, and it gets all sorts of screwed up because it’s not intuitive. If you move over a circle starting at 0 by 1/4 then that’s 1/2 pi radians, if you move by a half (to 180 degrees) then that’s 1 pi radians, etc. It’s a mess. Tao IS MUCH cleaner because it’s perfectly intuitive. If you move by 1/4 (90 degrees) then that’s 1/4 tao radians, by 1/2 then that’s 1/2 tao radians, it’s perfectly intuitive because tao represents the entire unit.

[@edwinkennedy6152]

please plot points for 30,45,60 degrees

[@mathme866]

Very clean vision.... brother how you prepare these sheets...can you upload a video on it or can give me your email address please

[@diversostv6030]

Great❤️🔥

[@nathanbean8867]

very helpful ty!

[@anshgaina7847]

Don't know why people are stuck at degrees... Btw nice explanation.... Thanks a lot..

[@driax4297]

Thank you for this understood it

[@jaredbrooks2226]

Great Video. May Jesus bless you

[@vyshakh.k.v3104]

Thank you

[@takondwamunthali4021]

Am I the only one watching in 2022 😘

[@paominlienguite2397]

Found your channel today 😭😭😭😭

[@justanghozzst8218]

Great job!

[@joelmnop]

I can smell this video

[@MySecretMathTutor]

Must be the markers. :^D

[@mohammedsaffi7898]

You ar 1/cosC bro......thanks a lot

[@nivethithav1545]

Thanku sir

[@mahiaslam6738]

Get some of idea

[@engineer_Abdullah_Majid]

thank you very much

[@shalutiwari4549]

Please sir AAP hindi mein video banaya kijiye.....

[@scotthindle4377]

Good tutorial but the whistling through his nose is (to a close approximation) the definition of hell.

[@spectrm6014]

This guy is better than my teacher 😂

[@user-qj4zr1pj9y]

Lollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[@lailajardaneh9860]

Wow not a single dislike

[@julk2701]

You didn't explain cos though...

[@aahadkarwani8519]

stop using pi

[@shore5489]

Learn to use Pi

[@Varoid]

thank you so much