Sine & Cosine - Amplitude, Frequency & Period - [2-21-9]

More Lessons: www.MathAndScience.com
Twitter: / jasongibsonmath
In this lesson, you will learn how to graph sine and cosine functions when we alter the amplitude, frequency, or period of the function. The amplitude relates to the maximum and minimum value of the wave. The frequency relates to how many cycles per second the wave oscillates. The period is the inverse of the frequency and relates to how long it takes for one oscillation to occur.

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[@javiercatalan3475]

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[@javiercatalan3475]

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[@javiercatalan3475]

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[@EnjoimentProductions]

Thank you for instructing us as you go. It helps me stay on the same page as you, as we go through the lesson. For example, @2:59 "...you need to be able to draw it." I did not know how to draw it off the top of my head so I paused the video and practiced. Then continued the video. Thank you!

[@IamSooty]

I just watched a video you posted 9 years ago about variance. I'm taking a course on statistics for the first time at 36 y/o, after not touching statistics after high school and then proceeding to do philosophy in college and teach English and Music for the past 10 years. Poking around more, I see that you have dedicated more than a decade of your life teaching in front a camera and posting on KZbin, but what struck me the most emotionally was seeing you transform over your years of teaching. You've truly given your life tirelessly to advance the learning of so many, reaching probably more students than many of us ever will in our lifetimes before it was possible for people to do so through the internet. My most respectful salutations to you sir!

[@MathAndScience]

I really sincerely appreciate your kind words! Yeah I started this just before KZbin really became a thing, and have aged in front of the camera!

[@IamSooty]

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[@qullin_2238]

I know it's an advanced topic, but will you teach quantum mechanics in the future?

[@loipham31]

It is very valuable lesson for every students. Thank you, Mr.Gibson! Moving advance, I have problem in understanding how regular sine function can create many forms of sinusoid wave functions, like square wave, saw wave, triangle wave, etc. in Fourier Transform. Especially, I do not have clear ideas how electrical engineers build up circuits to generate square wave shape signal in communication. Modulation and demodulation in world of analog and digital is also a mystery to me. I am not so sure you covered those related topics on Math & Science yet. If not yet, I hope I can find them in your future lessons.

[@simongozah66]

This is a wonderful lesson...very inspiring ❤

[@MathAndScience]

Thank you!

[@praba1959]

Sir your teaching is so nice to hear. Your humble voice itself is an asset and the way you explain.... thank you Sir.

[@MathAndScience]

Awww thank you!

[@IsaacHernandez-dr1th]

i almost dropped my trig class until i watched this wonderful man lessons. Now I’m doing a lot better in my trig class

[@spen9579]

i absolutely love you as a teacher. you exlpain everything well enough that even i can understand it buy more then that you derive where things come from rather then just giving us a formula. you really care about us knowing these things, rether then just preparing us for the next test. i appreciate that. also i thought it was funny when you said "ever heard of a megaherz?"

[@felixyongco4420]

Very , very good help especially in actual generator operation.. Thank you Sir. Jason.. As I review my past lessons , I keep learning from a very good instructor like. you..

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The way you are explaining and presenting the hard and complex concepts is really commendable. Simply bundles of love from Pakistan ❤❤❤❤🎉

[@sunset6958]

can you make a video on Graphs of the Tangent, Cotangent, Cosecant, and the Secant Functions

[@jk501111]

Thank you for this tutorial--I've been trying to build out something on biorhythm and familiarizing myself with Sin() and what excel can handle. Just one suggestion would be to note that Sin() in excel uses the radian and NOT degrees and maybe show a data set with 1 thru 360, how to convert by 1 * PI()/180 and so on and then Sin(result1) so on from there graph and from there add cell A1 for Sin(result1) + A1 and then maybe B1 for Sin(B1*result1) + A1 and maybe C1 for C1*Sin(B1*result1) + A1 showing that the user can have 0 in A1 and 1 and 1 respectively in B1 and C1, then the impact if we change these #s to the graph. Thank you again, I like your approach to teaching this material.

[@naderhumood1199]

The lesson is a value, I haven't watched yet, but I know that. Thank you very much. Siŕrrrrrrr.

[@natal8261]

terrific as always! :) Just thank you

[@Eduardo-tq5sk]

I remember your classes from 8years ago,you were teaching binary numbers! Thank profe!

[@aishakhatoon6008]

I really thank you sir for your effort and simple teachings...thanku 😊

[@sunset6958]

thanks for sketching it man it really helped. Its very different actually doing the sketch on your own only to realize you've forgotten everything you learned haha. Much appreciated and am a fan of the long in depth video

[@MathAndScience]

Thank you!

[@phillipdeck933]

I am a member of his math tutor site.l have algebra structure and method book2 l follow his lessons from it but it ends pretty much here l like to see added lessons on polar coordinates vectors, inverse sine and cosine graphs, trigonometric identities, unless l overlooked it. Hope you can add units 22 and 23 on algebra 2 course. I do not like other instructors online you teach very clear.

[@phil97n]

Awesome stuff thank you

[@Eduardo-tq5sk]

It's perfect like this! Indeed!

[@leejohnson197733]

this is so useful, i am still struggling to figure out 10sin(2pi ft - phase ) i need to find freq and phase angle from a graph, i could really do with some tips please

[@Eduardo-tq5sk]

Thank you engeneer!

[@niyonkuruidrissa2346]

10x very much sir coz lhave been waiting for this 💕💕💕💕

[@SurenRangaraju]

Hi Mr.Jason - I am stuck with the x-intercepts points for the function f(x) = 2 Sin (-x-pi/2)+1 While the period is 2pi and a vertical shift of +1 I am not able to figure out why the first x-intercept is pi/3 and not pi/2 Any suggestion is much appreciated. And THANK YOU for your outstanding videos they are so awesome!!!

[@tresajessygeorge210]

THANK YOU.. SIR...!!!

[@Eduardo-tq5sk]

If the wave length is small compare to wave of1 ,is higher frequency,than the original?

[@richiekahanji1092]

Is the lecture [2-21-10] and 11 ans 13 on you tube? Thanks in advance

[@wilkyclergeot9416]

" My incredible teacher nobody can't beat your knowledgeable"

[@hemrajue3434]

If the periods of sine function changes,we need to change the coordinate points on the unit circle accordingly in order to draw their graph, I think.

[@drumtwo4seven]

Nice 👍

[@fthitekle9354]

😢 thanks so much

[@abebe371]

Thankyou verry much

[@MathAndScience]

You are most welcome

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[@83jbbentley]

Don’t make waves 🌊 study them

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