Graphing Trigonometric Functions, Phase Shift, Period, Transformations, Tangent, Cosecant, Cosine

Поделиться
HTML-код
  • Опубликовано: 11 янв 2025

Комментарии • 675

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  7 лет назад +777

    Hi everyone, I just want to mention a few corrections that you should be aware of. At 33:24, it should be pi/2 and 3pi/2 on the x-axis instead of pi/4 and 3pi/4. At 56:36, it should be 3pi/4 instead of 3pi/2.

    • @NeonHelix20
      @NeonHelix20 7 лет назад +11

      The Organic Chemistry Tutor at 15 minutes why does cosine start at 5 but the problem before that sine starts at the vert shift value

    • @dannyfarley21
      @dannyfarley21 6 лет назад +4

      Shouldn't the final tan graph have a phase shift to the right pi?

    • @catvyhuynh7359
      @catvyhuynh7359 6 лет назад +2

      I was about to ask you about that mistake, anyway, thanks for correcting it

    • @catvyhuynh7359
      @catvyhuynh7359 6 лет назад +2

      At 33:25, I wonder why the points between pi and 2 pi are pi/4 and 3pi/4 respectively. They should be pi/2 and 3pi/2, right? Am I wrong?

    • @MsSade-ue7qq
      @MsSade-ue7qq 5 лет назад +3

      What about at 25:19? Period of 2pi yet the x axis expands to 3pi?

  • @zacharythompson3772
    @zacharythompson3772 3 года назад +1483

    This man taught me in an hour what my math teacher failed to teach me in 3 weeks. I love you sir

    • @CK86325
      @CK86325 3 года назад +8

      fr lmao

    • @sauss712
      @sauss712 3 года назад +42

      Exactly why I'm watching it. Cuz the teacher can't teach so I gotta teach myself

    • @tszkitlin6484
      @tszkitlin6484 3 года назад +1

      ur so cringe

    • @missy3041
      @missy3041 3 года назад +19

      @@tszkitlin6484 it’s not cringe if you’re here for help

    • @jayy_cobbe
      @jayy_cobbe 3 года назад +2

      @@tszkitlin6484 krazy

  • @Hustleandknow83
    @Hustleandknow83 Год назад +136

    You have helped my Mrs. and I throughout college. Thank you for all that you do.

  • @CamiloSanchez1979
    @CamiloSanchez1979 2 года назад +555

    This guy has singlehandedly gotten an entire generation through math class in schools and colleges of the anglosphere. You put professors and the entire educational system to shame. Thank you.

    • @protect_provide8031
      @protect_provide8031 2 года назад

      Shows how much a scam college is. You self teach to get a paper slip

    • @nekoyin8040
      @nekoyin8040 Год назад +9

      this is what happens when ur actually passionate about teaching

    • @acyllia5311
      @acyllia5311 9 месяцев назад +1

      Not just in the anglosphere, but here also in Asia

    • @waddlesthepig5350
      @waddlesthepig5350 8 месяцев назад

      and not even one generation but two generations i think lol. Next is gen alpha

  • @sansamman4619
    @sansamman4619 4 года назад +891

    Don't mind me, these time stamps are for myself (exam is for Range and Domain only).
    csc(x) : 33:00
    sec(x) : 37:40
    Acsc(Bx) + D : 41:04 [ Simplified example - 'D' has no effect ]
    Asec(Bx + C) + D : 45:20 [ Good example - C's effect: 'Bx+C = 0'. x = x0 - P = 2π/B - P + x0 --> Domain ] *sec*
    cot and - tan : 54:44 [ A's effect ]
    Acot(Bx + C) + D : 1:00:22 [ Good example - C's effect: 'Bx + C = 0'. x = x0 - P = 2π/B - P + x0 --> Domain ] *cot*
    Atan(Bx + C) + D : 1:04:47 [ Good example - C's effect: 'Bx + C = π/2'. x = x0 - P = π/B - P + x0 --> Domain ] *tan*

    • @Stolgic.
      @Stolgic. 4 года назад +12

      Wow you’re a god

    • @kirstiesantos9299
      @kirstiesantos9299 4 года назад +6

      ilysm u r a champ

    • @constantine166
      @constantine166 3 года назад +4

      Aye a life saver🙏💗

    • @dolnop6824
      @dolnop6824 3 года назад +1

      ANGEL! U ARE AN ANGEL

    • @AlbertCMF
      @AlbertCMF 3 года назад +3

      Hey bro try "liner" you can highlight texts and times on a video and leave notes on these highlighted bits

  • @Edmodo_
    @Edmodo_ Год назад +112

    I really wish teachers would take a note or two from this guy. He covers all the bases, is very consistent, and explains in detail the reason why every single number has an effect on the graph/function. 10/10 wish he was my teacher.

    • @tacticalchronos8992
      @tacticalchronos8992 10 месяцев назад +2

      We have hr 30 classes, this guy does it in less than an hr 10.

    • @appavuraju8305
      @appavuraju8305 5 месяцев назад

      What said might me be the only truth in your life 😂

  • @brettdomenick
    @brettdomenick 4 года назад +34

    switched to online classes and my professor told us to teach ourselves. Thank you for putting in more effort than the man I'm paying for. this lecture helps so much!

  • @MoTown434
    @MoTown434 7 лет назад +605

    This deserves more views, better than my lectures

    • @andrewosegueda2283
      @andrewosegueda2283 7 лет назад +4

      MoTown434 I could not say it better myself

    • @swldnsstory9843
      @swldnsstory9843 4 года назад +1

      I'm not even in University yet and I believe this 😂

    • @studytimelapseforyou
      @studytimelapseforyou 3 года назад +2

      @@swldnsstory9843 we learn this in grade 9 not uni

    • @swldnsstory9843
      @swldnsstory9843 3 года назад

      @@studytimelapseforyou Yeah same, in UK it's called Year 10, but that's when I learned how to Graph sin, cos and tan

    • @studytimelapseforyou
      @studytimelapseforyou 3 года назад +1

      @@swldnsstory9843 haha actually I am from Singapore, we call grade 9 secondary 3(basically 15 years old)

  • @wwh8524
    @wwh8524 2 года назад +58

    (for my own reference)
    51:13 basic y = tan(x) graph
    57:38 3tan(x) + 1
    1:04:02 y = -2tan(x/4 - pi) + 3

  • @joshuarmost
    @joshuarmost 2 года назад +32

    I really like this guy because he does the examples that my teacher doesn’t ever do. I need those examples to learn it and these videos are perfect for that!

  • @mikaelnoordali1376
    @mikaelnoordali1376 3 года назад +15

    Dude, you taught me 3 lessons worth of my classes. I could barely focus in class or pick up what she was saying. thhanks dude

  • @Technology_Apps_AI
    @Technology_Apps_AI 4 года назад +102

    My teacher couldn't teach me this intuitively in a whole month, this guy just taught me in one simple hour

  • @niikojo1537
    @niikojo1537 5 лет назад +30

    i dedicate my newfound interest in maths and physics to you. thank you

  • @robertjones1704
    @robertjones1704 7 лет назад +29

    You are such a great teacher! I have dyscalculia and am trying like hell to get to abstract math & linear algebra. Thank you so much for so many videos with abundant examples. Your teaching style is what academia lacks; no wonder I can't get through it. You're an inspiration my friend! Keep it up PLEASE!

  • @antonioantunez1225
    @antonioantunez1225 7 лет назад +423

    I think it would really help if you put time stamps in the description showing at what time you are going over the specific topic

    • @alexhambolton7512
      @alexhambolton7512 3 года назад +6

      if you just search up "graphing trigonometric functions" this is the first thing that pops up and has a handful of helpful time stamps

    • @MrBusko54
      @MrBusko54 3 года назад +21

      now dont be picky

    • @laycebug3260
      @laycebug3260 10 месяцев назад +2

      you would love the new youtube update, it automatically places timestamps

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +8

    Trigonometry - Free Formula Sheet: bit.ly/47diggI
    Trigonometry Video Lessons: www.video-tutor.net/trig.html

  • @joedrive5075
    @joedrive5075 2 года назад +10

    Brother! In the name of Jesus thank you for allowing me to understand asymptote for tan and cotan; was legit bothered that I was not understanding because I was watching other videos and my teachers videos but still not understanding. You are a true blessing!

  • @sangpark4548
    @sangpark4548 2 года назад +22

    personal time stamps
    27:15 phase shift
    56:29 cot(x)
    32:40 csc(x)
    37:40 sec(x)

  • @SpoookyChannel
    @SpoookyChannel 7 лет назад +31

    That was one smooth sine wave at 9:09.
    All of these videos are making this summer term bearable. Thanks a bunch for them. You have replaced my teacher.

  • @RudraLingam
    @RudraLingam 11 месяцев назад +1

    This dude singhlehandedly saved me from so many exams. My teacher teaches really badly, so I'm not anxious that I wont understand what we're learning because I know I have you on youtube to teach me. Thank you for what you do, your the best teacher in every subject and you have made me extremely happy. Never stop because we need more people like you in this world. You have been my true mentor in mathematics journey in highchool.

  • @jamesbush2788
    @jamesbush2788 7 лет назад +30

    I watched the entire video. Kind of saved me for my test :)

  • @Crimson093
    @Crimson093 3 года назад +4

    I am sure most people have already said this. But thank you so much for your help with this. Literally, my professor who has a master's degree could not teach me this, but you could. So thank you again for your help.

  • @chongyunmain
    @chongyunmain 3 года назад +4

    your voice makes me wanna learn maths- you've done the impossible tysm

    • @catlvrzz
      @catlvrzz 3 года назад

      MEEEEE TOO LOL

    • @chongyunmain
      @chongyunmain 3 года назад

      @@catlvrzz YOU'VE GOT TASTE NOW GO LEARN THAT TRIGONOMETRY

    • @catlvrzz
      @catlvrzz 3 года назад

      @@chongyunmain ALSO I SEE UR A GENSHIN PLAYER ???? ME TOO. JDHFJFH

  • @iamanatm1233
    @iamanatm1233 5 месяцев назад +1

    I am in 6th grade, and I am working on trigonometry. When I found the Organic Chemistry Tutor, I started to love trig, and I am planning to finish trig near the middle of 7th grade.

  • @kimia7557
    @kimia7557 5 лет назад +99

    I seriously rather pay all my tuition for my university math course to him rather than just wasting my time and money over NOTHING at university

    • @zeina213
      @zeina213 3 года назад +1

      Wait you guys take precalc in uni!!

    • @refkaalkhasawneh7644
      @refkaalkhasawneh7644 2 года назад

      @@zeina213 Depends. At some unis u need to take a math placement test, if u fail u take precalc, if u pass u can go straight to calculus 1

  • @ddee_6234
    @ddee_6234 Год назад +1

    Thank you so much! I was stressed out the whole week bcs of this part but you teach so clearly!!!! I’m so grateful that we all have this channel for free!!

  • @user-ll5qm1sm3p
    @user-ll5qm1sm3p Год назад +3

    currently in Pre-Cal learning this, cuz of home problems i can't focus in school but now i learnt a 2 hour lecture in a little over an hour, thank you

  • @seanwells1672
    @seanwells1672 7 лет назад +10

    @ 7:00 mins - "just some things to know" are really crucial.. thanks

    • @ekramab1039
      @ekramab1039 4 года назад +1

      I didn't get that how did he do it i listened like 3times back and forth

  • @zennologyofeverything7265
    @zennologyofeverything7265 7 лет назад +237

    phase shift starts at 24:26

  • @gosagirma
    @gosagirma 9 месяцев назад

    I have a university entrance exam after 2 months and some weeks and this video is really helpful on trig and now i wanna say thanks a lot

  • @dcro9903
    @dcro9903 6 лет назад +5

    The narrator does an excellent job of explaining the different trigonometric functions and how to graph them. Do not focus on the two minor mistakes. Thank you.

  • @Purple_Sloth
    @Purple_Sloth 3 года назад +32

    1:01:27
    Uh, pretend this comment doesn’t exist, I’m just using this to hold my space
    So how’s your day? Water tastes really good at this time of day, make sure you have a glass every now and then.

    • @stoneflower8751
      @stoneflower8751 3 года назад +10

      thanks for the reminder about water, forgot it existed

  • @luisaj5537
    @luisaj5537 7 лет назад +13

    You save my GPA. God bless you.

  • @jacobdavid9796
    @jacobdavid9796 5 лет назад +5

    Thank you so much Ochem Tutor. Im not sure why Trig is such a hard concept for me to grasp, but you are making it a little easier every video

  • @chrispinchileshe8557
    @chrispinchileshe8557 6 лет назад +2

    This is the best video ever. You can't fail a question on trig graphs the video is clear and straight forward

  • @Azeal
    @Azeal 3 года назад +1

    this is a hard carry on a large chunk of my class you're a legend bro

  • @Billsomebody89
    @Billsomebody89 Год назад +2

    Wow these examples were much harder than the test. lol Got me an easy 96/100 watching your videos. The extra credit problem i aced was almost identical to your final example of advanced graph equations. cheers!

  • @Romans10.17
    @Romans10.17 7 лет назад +19

    Thank you SO MUCH! You are an amazing math teacher. I am studying for a Calculus exam so I can teach all levels of math in high school (right now I only can teach up to Alg2/trig because I have a credential in foundational level math), and you have been a HUGE help in the studying process. I am so grateful for your explanations and videos!

  • @manuelplein5058
    @manuelplein5058 2 года назад +1

    I guess,teaching isn’t your profession but passion.you are the realest and rare one.

    • @nootnootah
      @nootnootah 9 месяцев назад

      "passion.you/" ???

  • @bryce422
    @bryce422 3 года назад +2

    Your videos are the only reason I don't fail math and science, I am so so grateful for what you do!

  • @daughteroftheking3220
    @daughteroftheking3220 5 лет назад +13

    Thank you for your videos we appreciate it so much. It is crystal clear and you make it enjoyable because you explain very well. You should really be awarded for your well explained videos, whether that is organic chemistry, math or other subjects. Best teacher ever. You should literally teach at a university level courses and I think if you did people would start getting better grades and passing class with confidence. Also, your voice is meant to teach others because it so soft and clear and it isn't intimidating like others. We love all your content, so thank you so much for everything you do and the valuable time you spend on making your videos a high quality content.

  • @notcomet4952
    @notcomet4952 11 месяцев назад +1

    your videos help a lot man thanks idk what id do without you

  • @neginoftadeh740
    @neginoftadeh740 3 года назад

    I couldn't comprehend what my teacher was saying, which is why this video was extremely helpful. What I learned in school didn't make any sense. However, this video is crystal clear and smooth. Thank you!!

  • @dolnop6824
    @dolnop6824 3 года назад +3

    My test is today, and I didn’t understand anything in class. This is my savior

    • @dolnop6824
      @dolnop6824 3 года назад +2

      Oh yeah I got a 30/30 btw cause of this!

  • @thembaxulu8667
    @thembaxulu8667 7 лет назад +92

    sent from heaven thanks brother from another mom

  • @oneartsychick1
    @oneartsychick1 5 лет назад +6

    I was confident in missing one class because I knew I'd learn it here.
    Thank you for the thoroughness.

  • @ninadee9753
    @ninadee9753 2 года назад +6

    I am going to take notes and watch this entire video. Thank you for this gem. :)

  • @txxes_2174
    @txxes_2174 2 года назад +2

    I'm just gonna start watching ur videos every day

  • @nateproject948
    @nateproject948 2 года назад +1

    had a D in trigonometry. came across this video that explained it leagues better than my teacher, and I have a quiz on this tomorrow so I hope I do good.

  • @lorenazazueta4189
    @lorenazazueta4189 2 месяца назад

    Thank you so much for this tutorial man, learned more here in 2 hours than in 4 classes of my teachers explanations about this topic.

  • @KingOfTheDerp
    @KingOfTheDerp 5 лет назад +13

    such a clear and great video. I used this for my precalc test and now I'm using it to review for calc. Thanks!

  • @federicoruellicubertie2296
    @federicoruellicubertie2296 2 года назад +1

    Your videos are extremely helpful. I can't understand why my school doesn't teach me like this. Thank you!!

  • @elizabethfio1626
    @elizabethfio1626 7 лет назад +3

    The tutorial is straight forward, it has cleared my confusion.

  • @farisac
    @farisac 9 месяцев назад

    thank you soo much! I was ready to drop my trig class until I tried your video. I was able to understand the formulas with you. With the online lectures, I was lost, confused and discouraged. Thank you!

  • @nellykusuma1499
    @nellykusuma1499 Год назад

    you are great teacher , great methode of teaching with clear example needed to grasp the concept and such soothing voice you have. One day school will be replaced by YoU Man.

  • @maryhiggins2216
    @maryhiggins2216 3 года назад +2

    I'm honestly curious how many hours I've spent watching your videos at this point. You do such an amazing job at explaining things, you're always the first place I check when I get stuck on a topic.

  • @elderbug5871
    @elderbug5871 3 года назад

    i'm gonna take the most important exam in my life three days later and you are my biggest hero

  • @johannesdsouza1098
    @johannesdsouza1098 2 года назад +2

    This man just saved my exams! Thanks a lot!

  • @felixgotrek1
    @felixgotrek1 2 года назад +2

    I love that you have a video on almost everything.

  • @Itz_Terq
    @Itz_Terq 3 года назад +1

    Thanks to you I got A in my trigonometry exam. THANK YOU SO MUCH

  • @sunitakolikot
    @sunitakolikot 11 месяцев назад

    I love your videos so much! They are so helpful in not just learning concepts, but also practicing them. The increase in difficulty of the problems is the perfect pace. :)
    I also watch your videos for my chemistry class and they are really helpful. Thank you!!!

  • @rachelton38
    @rachelton38 6 лет назад +1

    Thank you so much. I am having an exam tomorrow but I've been lost for 2 weeks. For the first time in ever I can finally face this without anxiety.

  • @RachaelGentry
    @RachaelGentry 6 лет назад +1

    Thank you for this video. I you running through examples, i am able to stop the video, solve on my own and then check my answer ensuring mastery of the process. Thank you!

  • @robhousehold
    @robhousehold 6 лет назад +10

    Great vids! Love how they build up and they make sense to me!

  • @jonathanbwabwa4695
    @jonathanbwabwa4695 3 года назад

    You are the best maths teacher ever known

  • @Panic816
    @Panic816 Год назад

    I’m chronically I’ll and have missed a lot of school this video is definitely helping me catch up thanks!

  • @uyenchang9062
    @uyenchang9062 7 лет назад +47

    Wowww very detailed tutorial. Thank you!

  • @Irene-tg1ug
    @Irene-tg1ug 7 лет назад +29

    Life saver my god! The entire lecture😭 thank you so much

  • @Em-vz6mv
    @Em-vz6mv Год назад +1

    You are literally so good at what you do- it is so helpful!! Thank you SOOOO much, JG!

  • @Dark-xx4kc
    @Dark-xx4kc 6 лет назад

    This video help me very well not only that now I ready for my exam 2 tomorrow. It explain so much better then my professor. My professor just keep talking but doesn't give an example that much like how you do it on this video. Thank you so much and your video is great dude.

  • @nicholasdiaz7683
    @nicholasdiaz7683 5 лет назад +6

    Thank you, you just taught me a weeks lesson in only an hour, you’re a god

  • @barrowmeoct04
    @barrowmeoct04 7 лет назад

    You are my GOD! Just in the first term of a year long access course with A level maths as the material for the course. This is saving my life. Thank you.

  • @tinaogun2849
    @tinaogun2849 2 года назад +10

    the way we pay to learn in college just to end up teaching ourselves.

  • @捻くれ者に人生頑張れを届け

    I’m a Japanese student who used to live in LA for 5 years, and I like his video better than my lecture here haha

  • @Sakiii_272
    @Sakiii_272 3 года назад

    Idk what to say tbh
    u r amazing teacher !!!!!!
    Iam from syria and I live in Egypt and u help me A LOOOTT thank u really i hope u will read my comment 🔥❤️✨

  • @_Anna_Nass_
    @_Anna_Nass_ 3 года назад +3

    For me it helps to think that amplitude, period, phase shift and vertical shift are in alphabetical order so that’s the order they go in.
    Just dropping this in case it helps someone else!

  • @juliav9761
    @juliav9761 6 лет назад +1

    you have saved so many lives

  • @ash39877
    @ash39877 3 года назад

    this channel is carrying my math and chem grades

  • @babypludo8801
    @babypludo8801 3 года назад +1

    Most helpful channel on RUclips, thank you so much bro

  • @markosasamenew8571
    @markosasamenew8571 9 месяцев назад

    thank you just finished a month worth of class by 3 of ur videos

  • @SawawaMkandawire
    @SawawaMkandawire 9 месяцев назад

    You are really amazing in teaching,you have explained this concept in details.I was having difficulties in understanding this but you have helped me a lot.Thank you so much.I enjoyed this

  • @TechWizeGuy
    @TechWizeGuy 7 лет назад

    This is a million times better than lectures!

  • @amida548
    @amida548 2 месяца назад +1

    Carried me through college I love you

  • @samarrarodriguez8662
    @samarrarodriguez8662 4 года назад +1

    his voice is SO nice and he's so good at teaching ts

  • @DarrellBarnes
    @DarrellBarnes 3 года назад +2

    Thanks! This video helped me get an 88% on my quiz.

  • @saqibimran5852
    @saqibimran5852 6 лет назад +6

    Best TEACHER! u helped me out so much, Thnx alot

  • @madelinebushman18
    @madelinebushman18 9 месяцев назад

    my test is tomorrow and i was so worried about this part of it… THANK YOU!!

  • @sarahq1186
    @sarahq1186 3 года назад

    you are a god. my savior. the reason im passing trig. thank you good sir

  • @nolandreyer9802
    @nolandreyer9802 3 месяца назад

    You are doing the lords work my friend

  • @crussellis4jesus
    @crussellis4jesus 8 лет назад +8

    This guy is the greatest!

  • @francieigboabuchi3630
    @francieigboabuchi3630 5 лет назад +1

    Thank you. From the bottom of my heart, thank you. The universe will reward you for this

  • @thisisjinx9535
    @thisisjinx9535 6 лет назад +3

    really helpful. was having difficulty with this lesson in class but this cleared everything up for my test on it tomorrow! Thank you so much!!!

  • @Stumprt
    @Stumprt 2 года назад +1

    Give this man a raise

  • @howardchigubu6902
    @howardchigubu6902 2 года назад +1

    My life would be very different i guess if I had a lecturer like you

  • @sainteven9564
    @sainteven9564 2 года назад

    I love how this guy literally teaches better than my own teacher i see every other day for an hour and thirty minutes

  • @arslan9665
    @arslan9665 3 года назад

    I came looking for copper but I’ve found gold, and I have you to thank!

  • @jppacia3218
    @jppacia3218 2 года назад

    thank you pareng organic, dahil sayo hindi nako nagpapanic para sa test bukas

  • @Cheyenne22
    @Cheyenne22 6 лет назад +6

    You’re the freaking MVP

  • @success96954
    @success96954 7 лет назад +1

    Thanks budd for your time you cleared my confusion. keep doing what you are doing knowing that you are doing a difference out there.

  • @jalynmarie1432
    @jalynmarie1432 3 года назад

    you really out here saving lives