How To Graph Trigonometric Functions | Trigonometry

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  • Опубліковано 7 вер 2024

КОМЕНТАРІ • 229

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  2 роки тому +31

    Trigonometry Formula Sheet: bit.ly/47diggI
    Full 1 Hour 25 Minute Video: www.patreon.com/MathScienceTutor
    Direct Link to The Full Video: bit.ly/38wtIWU

    • @Rose-zq5xo
      @Rose-zq5xo Рік тому

      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)

  • @GeoffreyHill1981
    @GeoffreyHill1981 6 місяців тому +118

    I'm in my early 40s and just started college. You are doing the lord's work.

  • @auset3475
    @auset3475 2 роки тому +461

    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
      @tiffaroro4238 2 роки тому +8

      Hello incase you need help in online classes,assignments and tasks ,I'm here to help you out.

    • @glorihol6803
      @glorihol6803 2 роки тому +29

      @@tiffaroro4238 no

    • @deeepdish
      @deeepdish 2 роки тому +15

      @@tiffaroro4238 no

    • @amnahiba4724
      @amnahiba4724 2 роки тому +2

      @@tiffaroro4238 hey

    • @tiffaroro4238
      @tiffaroro4238 2 роки тому +4

      @@amnahiba4724 Hello do you need help in math classes and assignments

  • @tashnimulmazid9706
    @tashnimulmazid9706 Рік тому +94

    It’s crazy how much better I learn from these videos over my actual classes. I can’t thank you enough!

  • @randommeep
    @randommeep 2 роки тому +68

    I literally learned more here than my lecture-- you are the reason why I am doing so well in my class

    • @yoharn5487
      @yoharn5487 4 місяці тому

      FR my lectures are useless

  • @victoriar8928
    @victoriar8928 Рік тому +19

    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!!

  • @user-rz6bu8jh1y
    @user-rz6bu8jh1y 2 роки тому +24

    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
      @azhym5536 2 роки тому

      Are u Kurdish? lol

    • @yusufaksu4862
      @yusufaksu4862 Рік тому

      I’Iraqqq tot

    • @Desvis
      @Desvis 11 місяців тому +1

      What does you being Iraqi have to do with the video though

  • @evanwalsh8808
    @evanwalsh8808 2 роки тому +17

    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 UA-cam tutorials.

  • @georgesadler7830
    @georgesadler7830 2 роки тому +19

    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.

  • @mendozaleonnecaezarl.7525
    @mendozaleonnecaezarl.7525 7 місяців тому +44

    Boutta fail my pre calculus exam 🔥🔥🔥

  • @WarmNapkin
    @WarmNapkin 2 роки тому +7

    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.

  • @seagullz.1019
    @seagullz.1019 6 місяців тому +2

    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

  • @user-op9rg2vw1n
    @user-op9rg2vw1n 6 місяців тому +1

    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?

  • @Bravybrown
    @Bravybrown Рік тому +4

    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.

  • @suzansuzan1960
    @suzansuzan1960 4 місяці тому +1

    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:)

  • @Sconnie1998
    @Sconnie1998 Рік тому +2

    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!

  • @nyeinlach
    @nyeinlach 9 місяців тому +3

    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

  • @Vallerino0
    @Vallerino0 3 роки тому +9

    thankyou again for saving my life and my moms voice sir

  • @Jmpwfdpdl
    @Jmpwfdpdl 4 місяці тому +1

    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.

  • @ThisIsInnocent_YT
    @ThisIsInnocent_YT 8 місяців тому +2

    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

  • @walaaalsheblak5787
    @walaaalsheblak5787 3 роки тому +18

    I love your vids helps my dad learn better:)

    • @TheDavidlloydjones
      @TheDavidlloydjones 3 роки тому

      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
      @L2.Lagrange 3 роки тому +15

      @@TheDavidlloydjones This is by far the most upset I have seen somebody get from a free trigonometry lesson

    • @lesserknownfacts7849
      @lesserknownfacts7849 3 роки тому +6

      @@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
      @imaybehot4734 3 роки тому +4

      wish my dad would do the same
      wish I have a dad

  • @alana2597
    @alana2597 3 роки тому +6

    THANK YOU! I literally have a test on this tomorrow you are the best teacher!

  • @MelgraceVutilolo
    @MelgraceVutilolo 15 днів тому

    Brilliant breaking down of trigonometric Graphing
    Really Helpful Thank you very Much!!

  • @fjvillas2722
    @fjvillas2722 2 роки тому +3

    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

  • @meowmaster6723
    @meowmaster6723 Місяць тому

    this made so much sense to me thank you so much for this! i have a placement test coming up and I'm so scared, thanks again!

  • @alreeyanmazhar1251
    @alreeyanmazhar1251 Рік тому +4

    Your videos are so simple and easy to understand ❤

  • @kingtoby9769
    @kingtoby9769 3 роки тому +14

    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😫😫😭😭

  • @messi-arg1
    @messi-arg1 3 місяці тому +1

    I tried many yt videos and it was all confusing until i came to yours. Thank you!

  • @420sushitrashu4
    @420sushitrashu4 6 місяців тому +1

    You're the goat 🐐 better than my maths teacher

  • @abdullahshehabeddin1946
    @abdullahshehabeddin1946 2 роки тому +6

    This video was so helpful, thank you so much!

  • @ABAMTV12
    @ABAMTV12 11 місяців тому +7

    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

  • @yanoski9
    @yanoski9 5 місяців тому +2

    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 .

  • @SamudraFlavorsYT
    @SamudraFlavorsYT 3 місяці тому

    I love you so much man
    I could not understand a thing about drawing trig graphs in class.
    You are amazing

  • @CramMark
    @CramMark 3 роки тому +6

    It’s an honor being the first person to watch one of your videos.

  • @haileykim9463
    @haileykim9463 2 місяці тому

    Thank you so much for your videos 🙏 You really saved me for my math and chemistry exams☺

  • @aidt4784
    @aidt4784 6 місяців тому

    Dude you just saved my life on a project, thank you so much

  • @crisponyoutube
    @crisponyoutube 10 місяців тому

    best video I have found on this topic... last minute panic before my IB exam :D

  • @jerrysanchez9098
    @jerrysanchez9098 11 місяців тому +1

    You are the true Math Hero

  • @mikaylasnowdon
    @mikaylasnowdon Рік тому

    thank u, im struggling studying for my midterm and this helps sm

  • @surajjani4868
    @surajjani4868 3 роки тому +3

    Sir, your teaching style is so awesome

  • @Poopsy_daisy
    @Poopsy_daisy 3 роки тому +2

    Thank you so much! You helped heaps, for some reason I don’t understand anything my teacher is saying ;(

  • @yose836
    @yose836 Місяць тому

    Thank you for what you do 🥹

  • @jaor6449
    @jaor6449 Рік тому

    bro is so good... thanks for saving my grades again!

  • @user-vy1dy6ih8e
    @user-vy1dy6ih8e 3 роки тому +2

    I'm very lucky because I found your channel.

  • @alexanderhamilton5818
    @alexanderhamilton5818 2 роки тому +2

    You are carrying me through my pre calc course like Joe Burrow taking the Bengals to the Super Bowl.

  • @saysHotdogs
    @saysHotdogs Рік тому

    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

  • @user-yg8kd6wg5w
    @user-yg8kd6wg5w 4 місяці тому

    Thank you,You have helped me a lot.

  • @edim.productions
    @edim.productions Рік тому

    YOU ARE MY LIFE SAVER

  • @antimono
    @antimono 2 місяці тому

    Thank you!

  • @_romatomato_
    @_romatomato_ Рік тому +1

    This helped so much! Thank you!

  • @samanthakasamo
    @samanthakasamo Місяць тому

    Thanks much💯

  • @electricalnoobject5011
    @electricalnoobject5011 3 роки тому +2

    Love you sir❣️

  • @goodgalriri_
    @goodgalriri_ 9 місяців тому +1

    Hi,just wanna enquire act y do we put pie values and not actual real values such as 90,180,360 and so on🤔

  • @kingpeterdaroy9812
    @kingpeterdaroy9812 3 роки тому +2

    Nice Explanation

  • @marveladel7343
    @marveladel7343 2 роки тому

    Thanks alot
    I am Egyptian but I like your explain it is so simple
    ♥️♥️♥️♥️

    • @tiffaroro4238
      @tiffaroro4238 2 роки тому

      Hello incase you need help in online classes,assignments and tasks ,I'm here to help you out.

  • @syedmdabid7191
    @syedmdabid7191 5 місяців тому

    What's the period of the function y= sin x + cosx???

  • @michaelaalsukhon5243
    @michaelaalsukhon5243 2 роки тому +1

    This helped me so much!! Thank you!

    • @fwp1356
      @fwp1356 2 місяці тому

      What is your specialty.? Engineering?

  • @alwayslearningC
    @alwayslearningC 3 роки тому +1

    Keep on moving sir 🙋🙋🙋

  • @beigomaacademymathsclub5873
    @beigomaacademymathsclub5873 3 роки тому +1

    Thanks for the video!

  • @alexgrant-explainingmaths8077
    @alexgrant-explainingmaths8077 7 місяців тому

    Who taught this guy?! This guy knows everything in maths, chemistry and physics!!!

  • @Erri2Sick
    @Erri2Sick Рік тому

    dude you saved my life

  • @lubilunbna1359
    @lubilunbna1359 Рік тому

    It really helped thanks bro❤

  • @legendaryboi9970
    @legendaryboi9970 3 роки тому +2

    amazing!

  • @mr.dinonugget1833
    @mr.dinonugget1833 Рік тому

    this helped so much

  • @user-od1ch7ru8o
    @user-od1ch7ru8o Рік тому

    lets gooooo!!! crazy with math!!!

  • @AdeosunElizabeth
    @AdeosunElizabeth 9 місяців тому

    Thank you so much bro 😊

  • @md.mahbubanamtanim9081
    @md.mahbubanamtanim9081 8 місяців тому

    Thanks

  • @siyabulelampinge564
    @siyabulelampinge564 3 роки тому

    You the best Sir we love you

  • @calebquentel8837
    @calebquentel8837 2 роки тому

    Saved my life

  • @sandeltra
    @sandeltra 2 роки тому

    thank you so much! God bless

  • @alexjaehyunfan
    @alexjaehyunfan 2 роки тому +1

    I wish you were my maths teacher.

  • @fitzaragon
    @fitzaragon Місяць тому

    The equation is y=Asin(Bx-C)+D

  • @heist4420
    @heist4420 7 місяців тому

    thank you so much, this helped a lot :)

  • @sarahjin5005
    @sarahjin5005 2 роки тому

    Very helpful thanks sir

  • @alexjeffin1186
    @alexjeffin1186 9 місяців тому +1

    How did you get 3pie/2? 19:07

  • @user-dt7hc6ek4m
    @user-dt7hc6ek4m 7 місяців тому

    thank you so much 🎉❤

  • @sambi8074
    @sambi8074 Рік тому

    At 21:50 the number in between 5 and 1 should be 3 on the y-axis of the graph.

    • @BethlehemFetene-gs9ms
      @BethlehemFetene-gs9ms Рік тому

      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.

  • @jayx3843
    @jayx3843 2 роки тому

    thank u my king

  • @auditor9927
    @auditor9927 Рік тому

    The best video

  • @kamvc72
    @kamvc72 2 роки тому

    Mistake at 21:48 it should be 5 pi/2 not 4. Great Video regardless.

  • @pklarbipianoandrelaxation
    @pklarbipianoandrelaxation Рік тому

    Thanks alot

  • @demonslayereditsz
    @demonslayereditsz 2 роки тому

    Thank you

  • @mattbenjaminpepito2823
    @mattbenjaminpepito2823 3 роки тому +2

    may you have a good life

  • @maryjohnson1568
    @maryjohnson1568 3 роки тому +34

    Stock can drop from top to bottom and still be a 60 bagger. All this in 10y. investing is a very long journey where our temperament gets tested. have to have the capacity to suffer for long periods. have lived through the examples above, naming the stock today is pointless.

    • @georgesmith9461
      @georgesmith9461 3 роки тому

      Reason why everyone should have a profitable investment.people need money

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      @mackrobert4118 3 роки тому

      You're right Investment is the key to surviving during times like this when the government decided to mess with people.

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      @claryzac1213 3 роки тому

      Yeah what type of Investment y'all are into the stock market has been crashing lately.

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      @williamsjames3712 3 роки тому

      Bitcoin investment is the best when you're on a profit based platform especially with the current rise.

    • @franklynalbert367
      @franklynalbert367 3 роки тому

      Investing in cryptocurrency and gold which is better?

  • @varirejendiaende3315
    @varirejendiaende3315 Рік тому

    Thanks Mr, but that function of y=2cos(x)-1 the period is in 360 degrees, or am I confused.

  • @jinnjinn5567
    @jinnjinn5567 2 роки тому

    you can also think of B as the number of cycles within a length of 2π

  • @SV42165
    @SV42165 2 роки тому +4

    Now let's talk about..
    graphing..
    ..TRIGONOMETRIC FUNCTIONS.

  • @siddharthagautam8261
    @siddharthagautam8261 10 місяців тому

    Amazing

  • @isagani9048
    @isagani9048 Рік тому

    at 17:45 isn’t the general form of sine function is asinx(bx-c)+d?

  • @MattWithTheCat4541
    @MattWithTheCat4541 Місяць тому

    I'm here because the OpenStax course is letting me down when it comes to this particular subject. Algebra and prealgebra were fine except when explaining how to sketch functions or derive them from a graph, and with trig it's just awful. Just listing formulas, skipping steps, no explanations. EDIT: yeah, this guy's explanation is so much simpler. Such a simple step-by-step to construct a graph with phase shift. The OpenStax textbook makes this so needlessly complicated.

  • @itamarb-e4088
    @itamarb-e4088 8 місяців тому

    Why is it so easy for me to understand you and so hard for me to understand my teachers?

  • @GabrielTobing
    @GabrielTobing 9 місяців тому

    Dude needs to be protected as a international treasure.

  • @happyvirus6590
    @happyvirus6590 3 роки тому +2

    Do you have a video for Analysis of Variance (ANOVA)?

  • @AngellaBakali-jf6tg
    @AngellaBakali-jf6tg Рік тому

    Wooow thanks

  • @isaiahfigueroa6422
    @isaiahfigueroa6422 2 роки тому

    Thanks big dawg🫡

  • @user-uh5fw8rb7f
    @user-uh5fw8rb7f 7 годин тому

    how does 2pi divide 1/2 = 4 pi

  • @omyjonhgod
    @omyjonhgod Рік тому +1

    EOC next week wish me luck guys

  • @nightmarefredbear7739
    @nightmarefredbear7739 3 роки тому +5

    I wonder why there is a person disliking this..

    • @Bangtan_Vibes_7
      @Bangtan_Vibes_7 4 місяці тому

      I think, the people who disliked this video are our professors who always fail to teach us smth properly💀

  • @fluvial1877
    @fluvial1877 5 днів тому

    Tqq

  • @rayanmalla4139
    @rayanmalla4139 Рік тому

    I'm absolutley speechless .