Graphs of trig functions

[JustAnotherYoutubChn]

@jamesmybutt1245 wth man that is the exact same reason i was watchings these videos for!

[IlyasWidaad]

Hey Khan, Salam Alaykum. How would I add two trig funtions? ex: 2cos x + -sin x and make it into one graph? Can you make a video on how to do that? I can't find any videos on youtube or anywhere on the net. Jazakallah Khyre

[tkdman45]

At 5:15, his mouse is at y = pi.

????!?

[niallmurph333]

Dont trip dogg. It was helpful af.

[blo141]

omg this is amazing. my professor is a dunce. but thanks to you i have a chance of passing :)

[bluesniperdjg]

tests are tomorrow, its 9 pm here. and havent studied yet since nba 2k12 came out. Thanks bro this helped!

[PotatoeSmiley]

i can't like this enough, its amazing :-)

[5564por]

So clear, no confusion at all

[5564por]

Awesome teacher

[kdmq]

I like how sin x, with the longest wavelength was a red line, sin 2x, with the second longest wavelength was green and sin 4x, with the shortest wavelength was violet.

[MegaN3MO]

dam... be my teacher plz

[jarbear123]

you need to be my teacher!!!!!!!!!!!!!!!

[MasterThief1324]

The difference between the unit-circle graph on the cartesian plane and the graph of the 3 periodic functions on the cartesian plane is that the former (unlike the latter which designates angle as the variable) designates "x" distance as the variable, right? So the graphs of periodic functions graph something that is not explicitly found on the the graph of unit circle (i.e. angles). Rather, it graphs an aspect implied by the x and y distance of the unit circle.

[MasterThief1324]

@MasterThief1324 I'm a practical guy but I have an affinity for wanting to think like a mathematician because I'm also analytical. I only took AB calc but I wonder if I will ever need to think about the graphs of periodic functions in terms of how "y"-changes when "x" changes again. Do graphs of trig functions have applications in physics?

[GenericCoder]

@MasterThief1324

They do have applications in electronics.

[lmafo4utube]

OMG I DL U VIDEO U the BesT

[qtzlctl2012]

awesome video, easy to follow and informative

[Jonny1555James]

THANKS FOR YOUR HELP MY TEACH JUST DOESN'T KNOW HOW HELP HER STUDENTS SO THEY UNDERSTAND

[mrmjbeid]

You point out the obvious, or what we can already see. Id like to see what makes the graphs the way they are.

[jonluvschowmein]

what if the period was 2pie over 3? how would you split tht into 4 parts on a graph?

[Atwal099]

@jonluvschowmein noob

[flyersqb5]

The internet can teach me math better than my teacher lol.

[fuzzrach]

this was interesting.. thanks you!

[grimwatcher]

I Love it! Simple and elegant explanation, thanks dude!

[Abdallah0822]

May God reward you bro

[Abdallah0822]

May god reward you bro

[illisanantexico]

must. . . have. . . transformations. . .

[ger6master]

i wanna suck your balls dude

[ABCba5tard]

@ger6master rolf 

[sonicvivek77]

I love you so much man....

oh and it wasn't confusing at all, I understood everything perfectly

[AMbeats]

Can you do a module giving some intuition on trignometric functions with exponents. Thanks man.

[FarrenfollowsBen]

oh and it was not confusing!

[FarrenfollowsBen]

u are amazing khan <3

[Tsukasa171]

very helpful!! Thank you so much

[olivia1ohh3]

chemistry, now trig! you work wonders for all students with confusing teachers! thanks for your help.

[Plancii]

This is awesome. Very useful. I wonder what grapher you used. Thanks

[mysterbean2]

how did you video this? im a highschool student and we are tasked to make a video about functions. did you just directly video this using your webcam? or is there any software that could record the actions in your computer?

[DanielKovach]

The whole world is open to my mind.

[alucardova1]

O MY god thank you so much!!!!!

[D0g63rt]

Link please

[jamesmybutt1245]

thanx dude now i can sleep in class and just watch ur vids! U R AWESOME!

[IcarusFlying]

@jamesmybutt1245 i hope you don't have to pay for those courses. That money could be going to good guys like khan !

[madscirat]

It doesnt matter how basic your topic is, you always manage to clarify something I didn't understand before, thanks Sal.

[ose90]

teachers in school will never teach this... thanks sal! Now finally understood what is trigonometric function!

[abohashesh]

thanks you are the best.

i wish if you were my teacher.

[devsain]

you fkn rock dude, this helped me out sooo much thanks alot

[nishan522x]

dude you fucking rock

[kenkarsonn]

I've seen a gazillion of these videos and I still don't get it.

[Sakura2596]

Some people just don't!

[Jack50890]

LOL

[musiklover2]

Since math builds up from things learned earlier, you might want to go to khanacademy. org and review the other lower math subjects. May be that can help you.

[Stalingrad17]

thanks . Great Video !!!

[nkim41]

What software program are you using in this video?

[maryb323]

I AM HOPELESSLY IN LOVE WITH YOU.

thank you thank you thank you.

keep it up :)

[walaa925]

Ohhh me too!!

[levoslashx]

HJSG2007: That's just a constant. It'd be the graph of a line at y=-14.104 approximately.

[Winsunn307]

Thank you for taking the time to post these videos.  They are VERY helpful.

[Nikos1942]

major props. i get it now, and i haven't gotten it for the last few weeks. where's the video on the tan, csc, sec, and cot graphs?

[miamimanni]

sin(2x) horizontal compression by a factor of 2. Cool stuff.

[anji0san]

a factor of 1/2

vertical stretching or shrinking is by a factor of C

but horizontal ........ ......... is by a factor of  1/C

[asalad083]

you are very helpful,god bless you and good luck.

[huyaobang]

thanks!!

[skibee50]

I gave up about 25 yrs. ago. I get it now . Oh boy ! new horizons Thanks

[Bendvlblue]

I know.. We're in the same page. But leave the guy alone..

[quago01]

thnx for the lesson . i didn't understand what my prof is talking about so i tried something in this site..thank you very much

[lostinseganet]

What are some real life events that follow the tangent line.

[818coolkid]

it took my teacher 3 weeks to explain this, and i still didn't get it, so i came here very hopless and in 10 minutes i got it!! you are a very good person, thank you for helping me.

[Monsterenergy791]

thanx :-D

[thecrowlord]

Makes great sense. -Not confusing.

[Vampyrs]

can i enroll in your academy? ... : )

[1carlento]

thnx sir it was very helpful.

[crazybile]

why does sin(2x) has half the period of sin(3x)

[payasitopimpim2002]

great my friend........thanks from lima peru

[tulipbaby53]

thanks! this was really helpful! i have a quiz over this stuff tomorrow and i was real confused until i just saw this!

[ProBaller7]

thanks, very helpful.

[CorinthianP]

Thanks! Please post more trigonometry related videos :-)

[WilldaBeeest]

It helped and thanks for all your time