06 - Review of Essential Trigonometry (Sin, Cos, Tangent - Trig Identities & Functions)

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  • เผยแพร่เมื่อ 3 ธ.ค. 2024

ความคิดเห็น • 127

  • @User-kj9cq
    @User-kj9cq 2 ปีที่แล้ว +24

    THIS is how you teach! Anyway, I just want you to know that you're appreciated, and I'm glad that I found your channel. I've always struggled learning anything math related, but through your videos, I've truly "learned" how this works.

  • @AMcDub0708
    @AMcDub0708 5 หลายเดือนก่อน +10

    I’m a 39 year old who does nothing related to any of this. I did well in languages and literature/philosophy, etc, but struggled in science and math. I have absolutely no reason to be here but suddenly I’ve been utterly fascinated by math and science. I’ve been studying the Bible and ran across Chuck Missler who was brilliant in both science and theology and now I want to know all about the mathematics and sciences God created. And you know what? Suddenly it all makes sense. This teacher is one of the absolute best!

    • @kylorenthehusky2584
      @kylorenthehusky2584 3 หลายเดือนก่อน +1

      Hi, 41 here. I’m back at college post bachelor’s (‘07) to study physics for a radiology program. I agree with you and this teacher is amazing.
      The Bible is a good read. So many people pretend to be religious but have never actually read the book.

    • @j03150315
      @j03150315 หลายเดือนก่อน

      Same here except the religious part! Science and math are fascinating indeed!

    • @freddykruger1086
      @freddykruger1086 11 วันที่ผ่านมา

      Shoud look into alchemy..physics..your understanding of this world is better seen trought metaphysical truth than self involved philosophe ;) Also allow you to understand some truths about the human condition.

  • @babietee86
    @babietee86 10 หลายเดือนก่อน +8

    This is the video that helped it all click for me personally as a mature aged student reviewing trig for physics and maths. Thank you so much 🙏🏾

  • @lovernotfighter
    @lovernotfighter 5 ปีที่แล้ว +54

    I learned this in College and was surprised to see that I still remember all of it. Thanks for the lessons they're very good for review. I also Use: these reminders. SOH, CAH, TOA. that way I never forget.

    • @froggy41046
      @froggy41046 2 หลายเดือนก่อน +1

      In college I am learning this in the 11th grade

  • @lilac-he3og
    @lilac-he3og 3 ปีที่แล้ว +27

    you're such an effective tutor! pls never stop making educational videos. God bless.

  • @ivanhdz503
    @ivanhdz503 ปีที่แล้ว +4

    Thank God for having people like you! literally I should be paying you my whole college tuition!

  • @thegamthegame8801
    @thegamthegame8801 3 ปีที่แล้ว +7

    you are such an amassing tutor. i learnt so much from you , thanks so much may the good lord be with you and please never stop making educative videos

  • @pistolpete349
    @pistolpete349 11 หลายเดือนก่อน +4

    You are a good teacher and a great instructor. I enjoy your presentations,. Thank you.

  • @alpoole2057
    @alpoole2057 2 ปีที่แล้ว +5

    Love the way this man teaches.

  • @wendigo8204
    @wendigo8204 3 ปีที่แล้ว +6

    Came here to learn physics (I'm in high school and was just interested) I am now essentially a master of mathematics so thanks I guess I always thought I was bad at math but I just needed motivation and my motivation was that I wanted to learn physics I'm now doing basic algebra in school and doing college level maths in my free time

  • @eccentricaste3232
    @eccentricaste3232 ปีที่แล้ว +2

    Dude, you're amazing. You make trig look so simple and easy to understand. Thank you.

  • @j03150315
    @j03150315 หลายเดือนก่อน

    Oh My GAWD, in just half an hour, you clarified these concepts for me which I couldn't grasp throughout my entire senior year in highschool!!!! AMAZING!!!!
    BTW I'm hitting 37 soon, so this is such a rewarding feeling.

  • @ImValorant
    @ImValorant 11 หลายเดือนก่อน +3

    tip to remember the essential trig functions is to remember the term "SOH CAH TOA".
    SOH = sin (opposite over hypotenuse),
    CAH = cos (adjacent over hypotenuse),
    TOA = tan (opposite over adjacent)

  • @liampickburn
    @liampickburn 5 ปีที่แล้ว +12

    Thank you very much, great explanation! Looking forward to more video's to get me through my course!

  • @malkiatsingh3297
    @malkiatsingh3297 7 หลายเดือนก่อน +1

    Very nicely done fantastic teacher

  • @koyavenkateswararao6976
    @koyavenkateswararao6976 ปีที่แล้ว

    The order of selecting the topics of physics and your teaching both are superb

  • @KrisMyers-gh5pu
    @KrisMyers-gh5pu ปีที่แล้ว +2

    Thank you so much!!! This was very helpful in helping me understand how Trig is used in biomechanics.

  • @patstevens8970
    @patstevens8970 3 ปีที่แล้ว +11

    I wish this guy had been my math teacher!

  • @285runt
    @285runt 3 ปีที่แล้ว +3

    Great video. Writing basic components of problems on a blank sheet of paper really helped with exams. It reduced my anxiety to focus on what I knew.

  • @TheBigstve
    @TheBigstve 3 ปีที่แล้ว +3

    Outstanding teacher.

  • @simpleman283
    @simpleman283 3 ปีที่แล้ว +1

    11:36 ( I'm just playing ) Sin of 90=1 Cos of 0=1
    I only know that from watching your videos and thinking.
    I loved the video where you talked about shining a flashlight, that is the one that started opening my eyes. The unit circle video was awesome. After watching Equation of a Circle
    I started plotting my own incrementally. That helped me understand some of the other lessons.

  • @aliet7931
    @aliet7931 5 ปีที่แล้ว +11

    Thank you! Your videos are so helpful and love the fact that there's no ads 😊😊🤞🏾🤞🏾

    • @paulkennedy5822
      @paulkennedy5822 3 ปีที่แล้ว

      Why do the values squares of the two sides he calculated not equal 100?

    • @simpleman283
      @simpleman283 3 ปีที่แล้ว

      @@paulkennedy5822 If you do the calculations without rounding, it is 100

  • @lightesque1407
    @lightesque1407 ปีที่แล้ว

    starting vector math in 3d calculus and was struggling with basic trig. this is helpful thankyou bossman

  • @azadazadi9279
    @azadazadi9279 3 ปีที่แล้ว +6

    WE WOULD LIKE TO HAVE SOMEONE IN OUR COLLEGE LIKE YOU. THANKS FOR YOUR TEACHING

  • @thomvogan3397
    @thomvogan3397 2 ปีที่แล้ว +1

    I followed you until the end when you said the angle is the inverse sine of opposite over adjacent. What does inverse sine mean ?

  • @studentroom228
    @studentroom228 3 ปีที่แล้ว

    thank you just made me understand why we add 180 if the angle is negative

  • @tarasbulba5407
    @tarasbulba5407 3 ปีที่แล้ว

    You are a born teacher.!!!Bravissimo

  • @EstherAsio-i8z
    @EstherAsio-i8z หลายเดือนก่อน

    Am really looking forward to br the best this time

  • @tresajessygeorge210
    @tresajessygeorge210 3 หลายเดือนก่อน

    Very good review...!!!
    THANK YOU... SIR... again...!!!

  • @shoaibmahmud5209
    @shoaibmahmud5209 3 ปีที่แล้ว +1

    Very helpful. Thank you

  • @reddzltuano8176
    @reddzltuano8176 4 ปีที่แล้ว +1

    amazing presentation. Thank you

  • @georgeseese
    @georgeseese 7 หลายเดือนก่อน

    Another excellent video. However I have a question. Your explanation of vertical and horizontal makes sense for computing force vectors that we're familiar with e.g. throwing a ball. But when thinking of triangles in general, a given triangle can be displayed in many positions; most of them have sides that are not vertical or horizontal. And the sense of vertical and horizontal does not apply in all cases. Also, when focusing on one of the small angles, its opposite side is not the opposite side of the other small angle. Shouldn't this general viewpoint be considered also? I apologize if you cover this in another video. You are gifted to explain so many subjects. Many thanks!

    • @georgeseese
      @georgeseese 7 หลายเดือนก่อน

      The title does say Review of Essential Trigonometry, (as you say, for physics) not for general coverage. Great job!

  • @Carlos-qz7ul
    @Carlos-qz7ul 2 ปีที่แล้ว +1

    Hi, I think this time there's an error here : inverse sine of .6 is 40.966...°, same result as inverse cosine of .8. Is this right? Thanks

  • @gentleumunnah9330
    @gentleumunnah9330 4 ปีที่แล้ว

    You are too good to be good.You are excellent

  • @williambunter3311
    @williambunter3311 ปีที่แล้ว

    EASY WAY to remember these relations is to just memorise the word SOHCAHTOA. Sine is opp.over hypotenuse (SOH) - Cosine is adj. over hypot.(CAH) - and Tangent is opp. over adj.(TOA).

  • @deniscotter525
    @deniscotter525 4 ปีที่แล้ว +1

    Excellent thank you

  • @phonxeno8831
    @phonxeno8831 ปีที่แล้ว

    thank you for this!!! non trad student going back to college and need physics. This is a general question, for the most part, in an alg based physics class, is this the majority of trig that will be used in physics? like If I can grasp this, most if not all of the trig someone will use in alg based physics will be comprised of this? I am only asking as I dont want to take trig just to take phys... if i know I can get this, I can be somewhat comfortable knowing theres not this massive amount of trig I am not away of! thank you and i do mean in the general sense... if this is 85+% of the trig I need, I would feel good to go.

  • @CyprianKosi-ws7vc
    @CyprianKosi-ws7vc 7 หลายเดือนก่อน

    Thank you sir 🙇🏻‍♂️

  • @AshleySutphin
    @AshleySutphin ปีที่แล้ว

    tremendously helpful!!

  • @henry50902
    @henry50902 2 ปีที่แล้ว

    Thank you so much for this review!

  • @EteinjohBrevica
    @EteinjohBrevica ปีที่แล้ว

    Thanks very much sir

  • @eyerusalemk1356
    @eyerusalemk1356 ปีที่แล้ว

    You’re amazing thank you!

  • @qamarkhan1405
    @qamarkhan1405 4 ปีที่แล้ว +2

    Great sir. Love from Pakistan

  • @ot7saranghae124
    @ot7saranghae124 ปีที่แล้ว

    thank you for this

  • @jamescullins2709
    @jamescullins2709 ปีที่แล้ว

    Wow, so clear, thanks1

  • @malkiatsingh3297
    @malkiatsingh3297 7 หลายเดือนก่อน

    Thanks very much useful thanks

  • @roylogan
    @roylogan 3 ปีที่แล้ว

    Which playlist are these videos in? I can’t find them so I can watch related ones together

  • @shaus81
    @shaus81 5 หลายเดือนก่อน

    Inrerstingly enough, the relationships between SOH, CAH and TOA are the same as the relationships between E, I and R in Ohms law. Same with C, pi and D. Because of that, I like to put them inside a bubble or pyramid just like we do for Ohms Law for a visual reminder.

  • @tresajessygeorge210
    @tresajessygeorge210 ปีที่แล้ว

    THANK YOU... SO MUCH
    SIR...!!!

  • @zomaethe6275
    @zomaethe6275 4 ปีที่แล้ว +2

    How can sin-1 (0.6) be found by caculator? anyone know, tell me the way

    • @haillemohamed9165
      @haillemohamed9165 4 ปีที่แล้ว +1

      Press 2nd on the graphing calculator and than hit SIN. Then from there enter 0.6 in the ( ) and hit enter.

    • @dioncoldy
      @dioncoldy 4 ปีที่แล้ว +1

      Your calculator must be in deg mode.

  • @marcymarcen1367
    @marcymarcen1367 3 ปีที่แล้ว +1

    This is amazing i'm i love your channel so much 😭💘💘it gave me a better understanding in years,,!!
    Question= do i have to use the calculator to define the angle?

    • @ChatMania487
      @ChatMania487 3 ปีที่แล้ว +1

      The calculator will give you the sine/cosine, other wise you have to look it up in a special book called an index. This is why modern calculators are so great. Imagine doing physics with an index!

  • @fitsumbereke3362
    @fitsumbereke3362 5 ปีที่แล้ว

    Great job

  • @Reynold988
    @Reynold988 ปีที่แล้ว

    I am confused where did you get 36.87 degrees how to calculate?

  • @zcsaba77
    @zcsaba77 2 ปีที่แล้ว

    great video, but not what I search for, question: its possible calc out degree just knowing length of legs, and not use calculator or sinus(cosinus) table? its possible or not?

    • @simpleman283
      @simpleman283 2 ปีที่แล้ว +1

      I looked it up one time. I found a formula, but it was so complicated it would take years of math to ever get to that point, I stopped trying to figure out how to do it w/out calculator.

    • @zcsaba77
      @zcsaba77 2 ปีที่แล้ว

      @@simpleman283 it was just courios it possible calc without sinus table, but if you know the place, just write here link, thanks

    • @simpleman283
      @simpleman283 2 ปีที่แล้ว +1

      @@zcsaba77 I do not remember where I found it. It did take quite a bit of searching, but I did find it. The information is out there. All I can say is good luck finding it. ps if you ever figure it out & can explain it, I would love to hear from you.

  • @Ru.uhh.
    @Ru.uhh. 2 ปีที่แล้ว

    Omj thank you🥺
    God bless you🙌🏽

  • @papcooffset
    @papcooffset 3 ปีที่แล้ว

    Hi! I am so interested in your teaching. Can you please advice me how to view or buy your trigonometry course?

    • @MathAndScience
      @MathAndScience  3 ปีที่แล้ว

      Thanks so much! Just visit www.MathAndScience.com and you can become a member and watch all lessons online! Thanks! Jason

  • @williamtucker709
    @williamtucker709 2 ปีที่แล้ว

    Thank you

  • @monoman4083
    @monoman4083 2 ปีที่แล้ว

    good lesson

  • @walkerbarnes7601
    @walkerbarnes7601 3 ปีที่แล้ว

    thankyou very much

  • @mariabaptista-pt
    @mariabaptista-pt 3 ปีที่แล้ว

    You are the best! Subscribing on your website. 😍

  • @ВалентинаИсаева-р6я
    @ВалентинаИсаева-р6я 5 ปีที่แล้ว +1

    Awesome! 👏

  • @faithnwachukwu1122
    @faithnwachukwu1122 ปีที่แล้ว

    Pls am confused here ,how to get that inverse function

  • @Matthewtriumph
    @Matthewtriumph 3 ปีที่แล้ว

    Awesome. 👍👍👍👍👍

  • @AijPlaysGamess
    @AijPlaysGamess 3 ปีที่แล้ว

    That is a great math to solve

  • @bernardbruce9986
    @bernardbruce9986 ปีที่แล้ว

    What if the angle is given

  • @ashrafulalam7042
    @ashrafulalam7042 3 ปีที่แล้ว

    May God bless you a lot !!

  • @Definitelynoone69
    @Definitelynoone69 2 ปีที่แล้ว

    Sin goes with y and opposite is in the y axis that way I don’t forget

  • @lidiacabrera1349
    @lidiacabrera1349 3 ปีที่แล้ว

    I wish I would've found your channel fall 2020 so I would've avoided retaking precal twice

  • @hikari9687
    @hikari9687 4 ปีที่แล้ว

    ty

  • @samuelcampbell4080
    @samuelcampbell4080 4 ปีที่แล้ว +2

    Do you have an essential trig review for physics course I can purchase?

  • @harrymatabal8448
    @harrymatabal8448 7 หลายเดือนก่อน

    Thanks for proving 25 = 25. I didn't know that

  • @dorischoo
    @dorischoo 4 ปีที่แล้ว +3

    I always use “SOH CAH TOA” to remember.

    • @evlynealeshire5850
      @evlynealeshire5850 3 ปีที่แล้ว

      Yes, I must also call on the venerable old “Indian Chief” to help me remember. 😊

  • @Steve-f7t
    @Steve-f7t 9 หลายเดือนก่อน

    Knowing this you can solve any right angle trigonometry problem

  • @luissantos6322
    @luissantos6322 2 ปีที่แล้ว

    Give us some examples on how to calculate the degree of and angle come on

  • @albtactics2387
    @albtactics2387 4 ปีที่แล้ว

    Do we really need tan

  • @l.s.754
    @l.s.754 4 ปีที่แล้ว +2

    Great review of my colleague days. 😃

  • @npc-tq6yi
    @npc-tq6yi 3 ปีที่แล้ว

    I wish I was high on potanuse. Great video btw!

    • @kencv9400
      @kencv9400 3 ปีที่แล้ว

      😆😆😆

  • @vickbond008
    @vickbond008 2 ปีที่แล้ว

    OMG. It took weeks before I realized opposite was theta. Where were you 6 years ago ?

  • @nworuegbulefu
    @nworuegbulefu ปีที่แล้ว +1

    Interesting though😅

  • @Zave2023
    @Zave2023 4 ปีที่แล้ว

    ISOSCELES TRIANGLE = 3 equal sides

    • @cme4brain11
      @cme4brain11 3 ปีที่แล้ว

      NO. Isosceles triangle and TWO equal sides, not three. Three equal sides are an equilateral triangle.

  • @shystamcnasty
    @shystamcnasty 9 หลายเดือนก่อน

    23:31 I've grown up with the metric system, 10m/s is not that fast.

  • @maureenakrofi1413
    @maureenakrofi1413 ปีที่แล้ว

    You mean SOH , CAH and TOA

  • @scienceandreason9584
    @scienceandreason9584 3 ปีที่แล้ว +2

    SOH CAH TOA

  • @Zave2023
    @Zave2023 4 ปีที่แล้ว

    (OH HELL), (ANOTHER HOUR), (OF ANDY) !!

  • @johnjacobjinglehimerschmid3555
    @johnjacobjinglehimerschmid3555 5 ปีที่แล้ว

    ... sin^-1(0.6)
    now how do you calculate that without a calculator?

    • @WarrenKirkpatrick
      @WarrenKirkpatrick 4 ปีที่แล้ว

      Hemaraju E did you learn that from these videos too?

  • @addisonlyons2003
    @addisonlyons2003 2 ปีที่แล้ว

    Lowkey thought he was a DR. at first. The font and the attire contributed to my assumption 😂

  • @pistolpete349
    @pistolpete349 4 ปีที่แล้ว

    A. O O
    -------- -------- --------
    C. H. A. T. S. H
    Carpenter hits the wrong nail he says? AOO top line.
    If you CHAT at the library they tell you to SH. Nine basic trig Formula.

  • @zbigniewbrzezinski8869
    @zbigniewbrzezinski8869 4 ปีที่แล้ว

    The sound is unfortunately impaired many times during the lesson !
    Would you please upload again ?

  • @garypoplin4599
    @garypoplin4599 3 หลายเดือนก่อน

    23:29 - Don’t play baseball much? 22mph is kinda slow compared to some leaguers’ 100mph (~75m/s) pitches.

  • @alicegoodman4544
    @alicegoodman4544 2 ปีที่แล้ว

    5÷0 = 5 this I know.

  • @georgigeorgiev8751
    @georgigeorgiev8751 3 ปีที่แล้ว +1

    Why don't the fucking teachers and professors in school and college explain like the guys from youtube?

  • @Blobby_Hill
    @Blobby_Hill ปีที่แล้ว

    How the hell did he get 0.6 he skipped a step

    • @nathanwhite704
      @nathanwhite704 ปีที่แล้ว

      How? 3/5 in decimal form is 0.6. Thats basic 4th grade math.

  • @nandiphaokwara2789
    @nandiphaokwara2789 3 ปีที่แล้ว

    my nickname is now einstein jr

  • @KCKennedy731
    @KCKennedy731 4 ปีที่แล้ว

    What if I throw a baseball in outer space?

  • @luissantos6322
    @luissantos6322 2 ปีที่แล้ว

    You always give us the angle degree but don't show how you came up with the degree without a calculator. You're missing a very important part of the equation, not way man

    • @MathAndScience
      @MathAndScience  2 ปีที่แล้ว

      You can’t do it without a calculator or a table of values other than the special angles such as 30,60,45,90 degrees. That is the reason.

  • @imemil2
    @imemil2 ปีที่แล้ว

    too much talk

  • @luissantos6322
    @luissantos6322 2 ปีที่แล้ว

    You have so much to talk about everything else, but nothing on how to figure out angle degrees without using a calculator! How people did it before calculators? haha, If I want to know the degree of the (theta angle or what is the angle degree is you're not show how to figure it out with out a calculator. Remember calculators only been around not more than 100 years and angle have exist for 1000 years. Show me some math on how to figure the degree of an angle manual math only.

    • @MathAndScience
      @MathAndScience  2 ปีที่แล้ว

      I hear your frustration but you cannot really do it without a calculator. Before calculators textbooks were filled with tables in the back of the book where you would calculate the sine and cosine or the inverse sine in the inverse cosine. Also slide rules existed which if I’m not mistaken could allow you to calculator but that’s just a type of calculator as well. This is why we focus on the special angle such as 30° 60° 45° 90° and so on because those are easy to remember but other intermediate angles you’re just not going to be able to do without a calculator unless you have a super human memory.

    • @mariamnelson6001
      @mariamnelson6001 9 หลายเดือนก่อน

      😢

  • @timillinois
    @timillinois 3 ปีที่แล้ว

    Lesbian volleyball players

  • @garryfitzgerald6233
    @garryfitzgerald6233 3 ปีที่แล้ว

    I can't figure out how he got 0.69995 for the law of sines section in the following example, see example below. Which values or properties did he use? I've tried many different types of calculations and I can't arrive at 0.69995. I understand everything else in the example. I love your channel.thanks! drive.google.com/file/d/1Z0vbVEJ_-_h9nindld6L8_mLZid3CZel/view?usp=drivesdk