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
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.
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.
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 🙏🏾
you're such an effective tutor! pls never stop making educational videos. God bless.
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!
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)
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
You are a good teacher and a great instructor. I enjoy your presentations,. Thank you.
Thank you so much!!! This was very helpful in helping me understand how Trig is used in biomechanics.
Thank you very much, great explanation! Looking forward to more video's to get me through my course!
@MathAndScience
4 жыл бұрын
Thank you so much!
Thank you! Your videos are so helpful and love the fact that there's no ads 😊😊🤞🏾🤞🏾
@paulkennedy5822
3 жыл бұрын
Why do the values squares of the two sides he calculated not equal 100?
@simpleman283
3 жыл бұрын
@@paulkennedy5822 If you do the calculations without rounding, it is 100
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
Thank God for having people like you! literally I should be paying you my whole college tuition!
Love the way this man teaches.
Dude, you're amazing. You make trig look so simple and easy to understand. Thank you.
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.
The order of selecting the topics of physics and your teaching both are superb
I wish this guy had been my math teacher!
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.
starting vector math in 3d calculus and was struggling with basic trig. this is helpful thankyou bossman
Outstanding teacher.
WE WOULD LIKE TO HAVE SOMEONE IN OUR COLLEGE LIKE YOU. THANKS FOR YOUR TEACHING
Very nicely done fantastic teacher
thank you just made me understand why we add 180 if the angle is negative
You are a born teacher.!!!Bravissimo
Do you have an essential trig review for physics course I can purchase?
amazing presentation. Thank you
@MathAndScience
4 жыл бұрын
Welcome!
Very helpful. Thank you
Which playlist are these videos in? I can’t find them so I can watch related ones together
Thank you so much for this review!
tremendously helpful!!
Excellent thank you
You are too good to be good.You are excellent
Great job
Awesome! 👏
I followed you until the end when you said the angle is the inverse sine of opposite over adjacent. What does inverse sine mean ?
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
You are the best! Subscribing on your website. 😍
@MathAndScience
2 жыл бұрын
Thanks so much!
Thank you sir 🙇🏻♂️
You’re amazing thank you!
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
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!
Wow, so clear, thanks1
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.
thank you for this
Awesome. 👍👍👍👍👍
Thanks very much sir
Omj thank you🥺 God bless you🙌🏽
May God bless you a lot !!
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.
THANK YOU... SO MUCH SIR...!!!
Thanks very much useful thanks
Hi! I am so interested in your teaching. Can you please advice me how to view or buy your trigonometry course?
@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
Great sir. Love from Pakistan
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).
That is a great math to solve
thankyou very much
Thank you
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
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
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
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.
I am confused where did you get 36.87 degrees how to calculate?
good lesson
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
2 ай бұрын
The title does say Review of Essential Trigonometry, (as you say, for physics) not for general coverage. Great job!
How can sin-1 (0.6) be found by caculator? anyone know, tell me the way
@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
3 жыл бұрын
Your calculator must be in deg mode.
I wish I would've found your channel fall 2020 so I would've avoided retaking precal twice
Pls am confused here ,how to get that inverse function
Great review of my colleague days. 😃
I wish I was high on potanuse. Great video btw!
@kencv9400
3 жыл бұрын
😆😆😆
I always use “SOH CAH TOA” to remember.
@evlynealeshire5850
3 жыл бұрын
Yes, I must also call on the venerable old “Indian Chief” to help me remember. 😊
Thanks for proving 25 = 25. I didn't know that
ty
Knowing this you can solve any right angle trigonometry problem
OMG. It took weeks before I realized opposite was theta. Where were you 6 years ago ?
What if the angle is given
Sin goes with y and opposite is in the y axis that way I don’t forget
(OH HELL), (ANOTHER HOUR), (OF ANDY) !!
Give us some examples on how to calculate the degree of and angle come on
Do we really need tan
Lowkey thought he was a DR. at first. The font and the attire contributed to my assumption 😂
The sound is unfortunately impaired many times during the lesson ! Would you please upload again ?
ISOSCELES TRIANGLE = 3 equal sides
@cme4brain11
2 жыл бұрын
NO. Isosceles triangle and TWO equal sides, not three. Three equal sides are an equilateral triangle.
You mean SOH , CAH and TOA
23:31 I've grown up with the metric system, 10m/s is not that fast.
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.
Interesting though😅
SOH CAH TOA
... sin^-1(0.6) now how do you calculate that without a calculator?
@WarrenKirkpatrick
4 жыл бұрын
Hemaraju E did you learn that from these videos too?
Why don't the fucking teachers and professors in school and college explain like the guys from youtube?
my nickname is now einstein jr
5÷0 = 5 this I know.
What if I throw a baseball in outer space?
How the hell did he get 0.6 he skipped a step
@nathanwhite704
Жыл бұрын
How? 3/5 in decimal form is 0.6. Thats basic 4th grade math.
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
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.
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
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
4 ай бұрын
😢
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too much talk
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