How To Graph Trigonometric Functions | Trigonometry
This trigonometry video tutorial explains how to graph sine and cosine functions using transformations, horizontal shifts / phase shifts, vertical shifts, amplitude, and the period of the sinusoidal function. This video contains many examples and practice problems on graphing trigonometric functions for you to master this topic.
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The full version explains how to graph secant, cosecant, tangent and cotangent functions.
Пікірлер: 204
Full 1 Hour 25 Minute Video: www.patreon.com/MathScienceTutor Direct Link to The Full Video: bit.ly/38wtIWU
@Rose-zq5xo
9 ай бұрын
But why change it to 4 pi over 2 instead of leaving it as 2 pi in the second last question y=sin( x - pi/2)
I'm in my early 40s and just started college. You are doing the lord's work.
@adityachakraborty9666
Ай бұрын
Excellent example of age is just a number
@sindilengomane7063
2 күн бұрын
🎉
You have literally saved me from failing an exam. I am joining your member channel tonight, after work. I have upcoming Calculus, Chemistry, Physics, Org. Chem.classes in the future and I will need your expertise!!!!!!!!!!!!! Thank you for making math less intimidating. You are a gift!!!
@tiffaroro4238
2 жыл бұрын
Hello incase you need help in online classes,assignments and tasks ,I'm here to help you out.
@glorihol6803
2 жыл бұрын
@@tiffaroro4238 no
@deeepdish
2 жыл бұрын
@@tiffaroro4238 no
@amnahiba4724
2 жыл бұрын
@@tiffaroro4238 hey
@tiffaroro4238
2 жыл бұрын
@@amnahiba4724 Hello do you need help in math classes and assignments
It’s crazy how much better I learn from these videos over my actual classes. I can’t thank you enough!
I literally learned more here than my lecture-- you are the reason why I am doing so well in my class
@yoharn5487
26 күн бұрын
FR my lectures are useless
Boutta fail my pre calculus exam 🔥🔥🔥
@Tayspeaksfacts
Ай бұрын
How was it?
@bnguyen319
Ай бұрын
He failed……
@SamudraFlavorsYT
15 күн бұрын
:((
@DarkPrincess_M
11 күн бұрын
How was the test?
@AbhigyanKeshav
8 күн бұрын
What is Andrew tate start teaching calculus
MR. Organic Chemistry Tutor, thank you for showing high school and college students How to Graph Trigonometric Functions the correct way. You are the first instructor that showed me How to Graph Trigonometric Functions the correct way.
Tutors at my school couldn't teach me this in over two hours what this video accomplished in 20 mins... thank you sir and thank god for KZread tutorials.
this was explained perfectly, I was so stressed bc during lectures I did not understand what was going on. you went over basics and it helped so much!!
I am Iraqi. I loved your method of teaching. It is wonderful. Thank you. You solved me a lot of problems in mathematics. I no longer suffer from functions. Thank you دفعه ٢٠٢٢
@azhym5536
2 жыл бұрын
Are u Kurdish? lol
@yusufaksu4862
11 ай бұрын
I’Iraqqq tot
@Desvis
7 ай бұрын
What does you being Iraqi have to do with the video though
I love you. I spent two hours in my precalc lecture last wednesday absolutely oblivious, you made this so easy to understand. Thank you so much.
I am taking a trig course this semester, and I learn more from these videos that I do from my professor or her handouts. This channel teaches me all I need to know to get my assignments done in less time than the lectures or any hand outs/reading!
First few mins in and I already understood a bit better thanks. My instructor in trig has been doing it for awhile and leaves vital info out during his lecture vids.
I have my term final tomorrow and part of it dealt with cosine and sine functions. You are a life saver, I didn't understand this until just now
I’m literally speechless of words to praise you of your knowledge+your aptitude of explanation. A real life saver. Are you a human being?
For anyone wondering how he figures out the tick mark values on the x-axis: there are 5 critical points in the sin/cos cycle. Look at a one cycle of a cos/sin graph, and there will be 5 values: 2 values dictating the upper/lower bounds (y-axis values), and 3 values that will cross the x-axis (zeros). In order to find those critical point values (if you're dealing with a phase-shift), you find the value of the phase shift (0=Bx+c, solving for x), and then you add pi/2 recursively. For example, for y=sin(x+pi/3), the graph will start at x=-pi/3. Critical point #1 is -pi/3. To find critical point #2, -pi/3 + pi/2 = pi/6. To find critical point #3, pi/6 + pi/2 = 2pi/3. And so on until you have 5 values. You can use a calculator to add everything to make it easier. if you're still having trouble, google LibreText Mathematics section 2.4 on Phase shift.
Today I did one of the questions on my exam that had the most points just by watching your video. Thank you very much for helping me and many other students, I can't explain how grateful I am:)
thank you for sharing your knowledge, i watched this before taking my precalc quiz this morning and i got a 100. this by far is the toughest unit yet and i couldn't have gotten through it w/o your help
thankyou again for saving my life and my moms voice sir
mr. tutor you are an absolute lifesaver, thank you, I felt like I was gonna tear my hair out when I was trying to answer this
Your videos are so simple and easy to understand ❤
This video was so helpful, thank you so much!
I love you so much man I could not understand a thing about drawing trig graphs in class. You are amazing
THANK YOU! I literally have a test on this tomorrow you are the best teacher!
Spent an hour trying to figure this out based on the book and modules our teacher provided but this video taught me in less than 7 mins
Sir you're the best..... I love you so much ❤️. And wish I could even recognize you 🤧🤧😫 You made me pass my. Exam I failed twice😫😫😭😭
Dude you just saved my life on a project, thank you so much
This helped so much! Thank you!
thank u, im struggling studying for my midterm and this helps sm
You're the goat 🐐 better than my maths teacher
This helped me so much!! Thank you!
I love your vids helps my dad learn better:)
@TheDavidlloydjones
3 жыл бұрын
There's nothing "video" here. The half-wit has entirely missed the opportunity to use a visual medium to show why these trigonometric ratios take the shape they do -- because radii stay th same while the other sides of the triangles involved vary. Just a horrid, stupid, ignorant waste.
@L2.Lagrange
3 жыл бұрын
@@TheDavidlloydjones This is by far the most upset I have seen somebody get from a free trigonometry lesson
@lesserknownfacts7849
3 жыл бұрын
@@L2.Lagrange yeah, people need to grow up. Ik that he must be liking his maths professor who sleeps in the class and teaches nothing.
@imaybehot4734
3 жыл бұрын
wish my dad would do the same wish I have a dad
To Sum Up: For equations y=a sin(bx) and y=a cos(bx), |a| is the highest y value point on the graph and -|a| is the lowest y value point on the graph. |b| represents the frequency of the graph or 2pi/b
bro is so good... thanks for saving my grades again!
Thank you,You have helped me a lot.
You are the true Math Hero
best video I have found on this topic... last minute panic before my IB exam :D
Thanks for the video!
It really helped thanks bro❤
Man, thanks. God bless you
Thank you so much! You helped heaps, for some reason I don’t understand anything my teacher is saying ;(
Sir, your teaching style is so awesome
YOU ARE MY LIFE SAVER
thank you so much, this helped a lot :)
Very helpful thanks sir
Keep on moving sir 🙋🙋🙋
It’s an honor being the first person to watch one of your videos.
lets gooooo!!! crazy with math!!!
this helped so much
Love you sir❣️
Thank you so much bro 😊
You the best Sir we love you
I'm very lucky because I found your channel.
thank you so much! God bless
dude you saved my life
This is the smartest man who ever lived and who ever will like literally people think I'm some kinda STEM queen but it's all this king
amazing!
Saved my life
Who taught this guy?! This guy knows everything in maths, chemistry and physics!!!
You are carrying me through my pre calc course like Joe Burrow taking the Bengals to the Super Bowl.
thank you so much!
thank you so much 🎉❤
Hi,just wanna enquire act y do we put pie values and not actual real values such as 90,180,360 and so on🤔
thank u my king
The best video
Why is it so easy for me to understand you and so hard for me to understand my teachers?
Thank you
Thanks alot I am Egyptian but I like your explain it is so simple ♥️♥️♥️♥️
@tiffaroro4238
2 жыл бұрын
Hello incase you need help in online classes,assignments and tasks ,I'm here to help you out.
I've been waiting for this video
Thanks Mr, but that function of y=2cos(x)-1 the period is in 360 degrees, or am I confused.
Thanks alot
How did you get 3pie/2? 19:07
you can also think of B as the number of cycles within a length of 2π
I don't get it at the level of 15:15 because of the graph extending to 4pii and why is the negative y-axis is upto -3 .
Mistake at 21:48 it should be 5 pi/2 not 4. Great Video regardless.
Amazing
Thanks
Nice Explanation
Dude needs to be protected as a international treasure.
Now let's talk about.. graphing.. ..TRIGONOMETRIC FUNCTIONS.
may you have a good life
I wish you were my maths teacher.
Wooow thanks
Do you have a video for Analysis of Variance (ANOVA)?
Thanks big dawg🫡
At 21:50 the number in between 5 and 1 should be 3 on the y-axis of the graph.
@BethlehemFetene-gs9ms
11 ай бұрын
There is 2 at the middle. Its just cause the amplitude is 2 he shifted the graph 2 units up and down from 3 which will bring us to the numbers 5 and 1 respectively.
I'm absolutley speechless .
I wonder why there is a person disliking this..
@Bangtan_Vibes_7
24 күн бұрын
I think, the people who disliked this video are our professors who always fail to teach us smth properly💀
EOC next week wish me luck guys
What's the period of the function y= sin x + cosx???
Let's go 🚀🥳🤸🦅💪💫
yooo i love u ❤
at 17:45 isn’t the general form of sine function is asinx(bx-c)+d?
@zayn-xw6ru
Жыл бұрын
No it is + c
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how do you know how many key points the graph are that's where I'm having a hard time
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3 жыл бұрын
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3 жыл бұрын
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3 жыл бұрын
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3 жыл бұрын
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3 жыл бұрын
Investing in cryptocurrency and gold which is better?
I don't know whether the same media teachers who teaches excellent way will do the same in schools institutions.
i love you
13:09 TS
Guys how can one get his email address I want to join the membership