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

More Lessons: www.MathAndScience.com
Twitter: / jasongibsonmath
In this lesson, we will review core concepts in trigonometry. We will first discuss the right triangle and the sin, cos, and tangent ratios. Next, we will discuss how these trig identities can be used to solve problems in math, physics, and engineering.
Finally, we will learn how to use the trig ratios to decompose a vector into x and y components in order to solve problems. Trigonometry is a core skill for all students in math, science, and engineering and is used extensively in calculus.

Пікірлер: 119

  • @User-kj9cq
    @User-kj9cq2 жыл бұрын

    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.

  • @lovernotfighter
    @lovernotfighter4 жыл бұрын

    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.

  • @babietee86
    @babietee865 ай бұрын

    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 🙏🏾

  • @lilac-he3og
    @lilac-he3og3 жыл бұрын

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

  • @AMcDub0708
    @AMcDub070820 күн бұрын

    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!

  • @user-yo5ie7jf9f
    @user-yo5ie7jf9f7 ай бұрын

    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)

  • @thegamthegame8801
    @thegamthegame88012 жыл бұрын

    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
    @pistolpete3496 ай бұрын

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

  • @KrisMyers-gh5pu
    @KrisMyers-gh5pu9 ай бұрын

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

  • @liampickburn
    @liampickburn4 жыл бұрын

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

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Thank you so much!

  • @aliet7931
    @aliet79314 жыл бұрын

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

  • @paulkennedy5822

    @paulkennedy5822

    3 жыл бұрын

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

  • @simpleman283

    @simpleman283

    3 жыл бұрын

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

  • @wendigo8204
    @wendigo82042 жыл бұрын

    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

  • @ivanhdz503
    @ivanhdz503 Жыл бұрын

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

  • @alpoole2057
    @alpoole2057 Жыл бұрын

    Love the way this man teaches.

  • @eccentricaste3232
    @eccentricaste3232 Жыл бұрын

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

  • @285runt
    @285runt3 жыл бұрын

    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.

  • @koyavenkateswararao6976
    @koyavenkateswararao6976 Жыл бұрын

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

  • @patstevens8970
    @patstevens89703 жыл бұрын

    I wish this guy had been my math teacher!

  • @simpleman283
    @simpleman2833 жыл бұрын

    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.

  • @lightesque1407
    @lightesque14079 ай бұрын

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

  • @TheBigstve
    @TheBigstve3 жыл бұрын

    Outstanding teacher.

  • @azadazadi9279
    @azadazadi92792 жыл бұрын

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

  • @malkiatsingh3297
    @malkiatsingh32973 ай бұрын

    Very nicely done fantastic teacher

  • @studentroom228
    @studentroom2283 жыл бұрын

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

  • @tarasbulba5407
    @tarasbulba54072 жыл бұрын

    You are a born teacher.!!!Bravissimo

  • @samuelcampbell4080
    @samuelcampbell40803 жыл бұрын

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

  • @reddzltuano8176
    @reddzltuano81764 жыл бұрын

    amazing presentation. Thank you

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Welcome!

  • @shoaibmahmud5209
    @shoaibmahmud52093 жыл бұрын

    Very helpful. Thank you

  • @roylogan
    @roylogan3 жыл бұрын

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

  • @henry50902
    @henry50902 Жыл бұрын

    Thank you so much for this review!

  • @user-iw1hp4cd6p
    @user-iw1hp4cd6p Жыл бұрын

    tremendously helpful!!

  • @deniscotter525
    @deniscotter5254 жыл бұрын

    Excellent thank you

  • @gentleumunnah9330
    @gentleumunnah93303 жыл бұрын

    You are too good to be good.You are excellent

  • @fitsumbereke3362
    @fitsumbereke33625 жыл бұрын

    Great job

  • @user-tm2jt5km2r
    @user-tm2jt5km2r5 жыл бұрын

    Awesome! 👏

  • @thomvogan3397
    @thomvogan33972 жыл бұрын

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

  • @Carlos-qz7ul
    @Carlos-qz7ul2 жыл бұрын

    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

  • @mariabaptista-pt
    @mariabaptista-pt2 жыл бұрын

    You are the best! Subscribing on your website. 😍

  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    Thanks so much!

  • @CyprianKosi-ws7vc
    @CyprianKosi-ws7vc3 ай бұрын

    Thank you sir 🙇🏻‍♂️

  • @eyerusalemk1356
    @eyerusalemk1356 Жыл бұрын

    You’re amazing thank you!

  • @marcymarcen1367
    @marcymarcen13673 жыл бұрын

    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

    2 жыл бұрын

    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!

  • @jamescullins2709
    @jamescullins2709 Жыл бұрын

    Wow, so clear, thanks1

  • @phonxeno8831
    @phonxeno8831 Жыл бұрын

    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.

  • @ot7saranghae124
    @ot7saranghae1249 ай бұрын

    thank you for this

  • @laishangthempriyobarta5995
    @laishangthempriyobarta59953 жыл бұрын

    Awesome. 👍👍👍👍👍

  • @user-tz4vq8up5v
    @user-tz4vq8up5v7 ай бұрын

    Thanks very much sir

  • @Ru.uhh.
    @Ru.uhh.2 жыл бұрын

    Omj thank you🥺 God bless you🙌🏽

  • @ashrafulalam7042
    @ashrafulalam70423 жыл бұрын

    May God bless you a lot !!

  • @shaus81
    @shaus81Ай бұрын

    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 Жыл бұрын

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

  • @malkiatsingh3297
    @malkiatsingh32973 ай бұрын

    Thanks very much useful thanks

  • @papcooffset
    @papcooffset3 жыл бұрын

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

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

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

  • @qamarkhan1405
    @qamarkhan14053 жыл бұрын

    Great sir. Love from Pakistan

  • @williambunter3311
    @williambunter3311 Жыл бұрын

    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).

  • @AijPlaysGamess
    @AijPlaysGamess3 жыл бұрын

    That is a great math to solve

  • @walkerbarnes7601
    @walkerbarnes76012 жыл бұрын

    thankyou very much

  • @williamtucker709
    @williamtucker7092 жыл бұрын

    Thank you

  • @zcsaba77
    @zcsaba772 жыл бұрын

    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 жыл бұрын

    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 жыл бұрын

    @@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 жыл бұрын

    @@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.

  • @Reynold988
    @Reynold9888 ай бұрын

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

  • @monoman4083
    @monoman4083 Жыл бұрын

    good lesson

  • @georgeseese
    @georgeseese2 ай бұрын

    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

    2 ай бұрын

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

  • @zomaethe6275
    @zomaethe62753 жыл бұрын

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

  • @haillemohamed9165

    @haillemohamed9165

    3 жыл бұрын

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

  • @dioncoldy

    @dioncoldy

    3 жыл бұрын

    Your calculator must be in deg mode.

  • @lidiacabrera1349
    @lidiacabrera13492 жыл бұрын

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

  • @faithnwachukwu1122
    @faithnwachukwu1122 Жыл бұрын

    Pls am confused here ,how to get that inverse function

  • @l.s.754
    @l.s.7543 жыл бұрын

    Great review of my colleague days. 😃

  • @npc-tq6yi
    @npc-tq6yi3 жыл бұрын

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

  • @kencv9400

    @kencv9400

    3 жыл бұрын

    😆😆😆

  • @dorischoo
    @dorischoo3 жыл бұрын

    I always use “SOH CAH TOA” to remember.

  • @evlynealeshire5850

    @evlynealeshire5850

    3 жыл бұрын

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

  • @harrymatabal8448
    @harrymatabal84482 ай бұрын

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

  • @hikari9687
    @hikari96873 жыл бұрын

    ty

  • @user-kb4zq3jy2h
    @user-kb4zq3jy2h5 ай бұрын

    Knowing this you can solve any right angle trigonometry problem

  • @vickbond008
    @vickbond0082 жыл бұрын

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

  • @bernardbruce9986
    @bernardbruce9986 Жыл бұрын

    What if the angle is given

  • @Definitelynoone69
    @Definitelynoone69 Жыл бұрын

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

  • @Zave2023
    @Zave20233 жыл бұрын

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

  • @luissantos6322
    @luissantos63222 жыл бұрын

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

  • @albtactics2387
    @albtactics23873 жыл бұрын

    Do we really need tan

  • @addisonlyons2003
    @addisonlyons20032 жыл бұрын

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

  • @zbigniewbrzezinski8869
    @zbigniewbrzezinski88694 жыл бұрын

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

  • @Zave2023
    @Zave20233 жыл бұрын

    ISOSCELES TRIANGLE = 3 equal sides

  • @cme4brain11

    @cme4brain11

    2 жыл бұрын

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

  • @maureenakrofi1413
    @maureenakrofi141311 ай бұрын

    You mean SOH , CAH and TOA

  • @shystamcnasty
    @shystamcnasty5 ай бұрын

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

  • @pistolpete349
    @pistolpete3493 жыл бұрын

    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.

  • @nworuegbulefu
    @nworuegbulefu Жыл бұрын

    Interesting though😅

  • @scienceandreason9584
    @scienceandreason95843 жыл бұрын

    SOH CAH TOA

  • @johnjacobjinglehimerschmid3555
    @johnjacobjinglehimerschmid35555 жыл бұрын

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

  • @WarrenKirkpatrick

    @WarrenKirkpatrick

    4 жыл бұрын

    Hemaraju E did you learn that from these videos too?

  • @georgigeorgiev8751
    @georgigeorgiev87512 жыл бұрын

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

  • @nandiphaokwara2789
    @nandiphaokwara27893 жыл бұрын

    my nickname is now einstein jr

  • @alicegoodman4544
    @alicegoodman45442 жыл бұрын

    5÷0 = 5 this I know.

  • @KCKennedy731
    @KCKennedy7313 жыл бұрын

    What if I throw a baseball in outer space?

  • @Blobby_Hill
    @Blobby_Hill Жыл бұрын

    How the hell did he get 0.6 he skipped a step

  • @nathanwhite704

    @nathanwhite704

    Жыл бұрын

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

  • @luissantos6322
    @luissantos63222 жыл бұрын

    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 жыл бұрын

    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.

  • @luissantos6322
    @luissantos63222 жыл бұрын

    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 жыл бұрын

    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

    4 ай бұрын

    😢

  • @timillinois
    @timillinois2 жыл бұрын

    Lesbian volleyball players

  • @imemil2
    @imemil28 ай бұрын

    too much talk

  • @garryfitzgerald6233
    @garryfitzgerald62332 жыл бұрын

    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

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