07 - Trig Functions of Acute Angles - (Sin, Cos, Tan, Cot, Sec & Csc Theta) - Part 1 - Trig Ratios

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Math and Science

Math and Science

4 жыл бұрын

View more at www.MathAndScience.com.
In this lesson, you will learn the six trigonometric functions and how to apply them to acute angles. The six trig ratios are sin (sine), cos (cosine), tan (tangent), cot (cotangent), sec (secant), csc (cosecant). These six trig functions are used in all branches of math, science, and engineering. The sine and cosine ratios are used to compare the horizontal and vertical sides of a right triangle to its hypotenuse. The tangent function is used to directly compare the sin and cos (vertical and horizontal) sides of the triangle. The tangent corresponds to the slope of a line. The cot, sec, and csc functions are just reciprocals of the other 3 trig functions. In all, there are 6 trigonometric functions that all students must learn.

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@deirdreberger1363
@deirdreberger1363 4 жыл бұрын
The synopsis of the “chopping function” and a deeper understanding is such an intuitive way to teach rather than just a book/teacher spitting out rules that can be easily forgotten. Understanding is a much more solid base than using rote memory.
@MathAndScience
@MathAndScience 4 жыл бұрын
I really appreciate your kind words!
@tenwalls2428
@tenwalls2428 3 жыл бұрын
Freakin amazing. In 37 minutes I've actually learned this material. In high school and college I just memorized the formulas long enough to pass the tests. Again, this is amazing. This is exactly why our schools should offer both in-person and online classes for math.
@patrickbutler165
@patrickbutler165 3 жыл бұрын
This guy is amazing.
@dreadesina5216
@dreadesina5216 10 ай бұрын
That was the light bulb moment for me....Sometime when learning all you need is one clarity that align with your reasoning and bam all door become open. This is why it's good to always pay attention and pick up points that you can use to connect a line to unlock your reasoning all you need is one Domino and the rest will fall.
@tomeaston1844
@tomeaston1844 3 жыл бұрын
You take a complex subject deconstruct it and explain it in a way that makes the whole very lucid and comprehensible . That's a special talent.
@mushtaqrasool9169
@mushtaqrasool9169 2 жыл бұрын
This is just amazing, as a year 8 student learning trig functions and other stuff, he helped me more than any course I would ever take. He is the only one I watch as math and science other than freesciencelessons AND I understand. Freaking amazing. You are the most underrated content creator I know
@premkumar9608
@premkumar9608 4 жыл бұрын
Wonderful lecture, i am 70yrs oh boy. You the best. I am impressed the way you teach math.
@MathAndScience
@MathAndScience 4 жыл бұрын
Wow, thank you!
@aerialrescuesolutions3277
@aerialrescuesolutions3277 3 жыл бұрын
Jason is the real deal, I've not met any other teacher who can (and does) explain things in a way that is real. Others are great and know their stuff, but Jason takes math and science to a much higher and deeper level. Jim Trig
@kimbell6689
@kimbell6689 3 жыл бұрын
I am so GRATEFUL for your math lessons. Thank you so much for making this content!! There are lots of math tutors, lessons, and demonstrations out there; your explanations are the best of the best!
@Rexapocalypse1
@Rexapocalypse1 3 жыл бұрын
Recently diagnosed with ADD at 51, these were a mystery and impossible for me at school in the 80s. Your explanations and methods are crisp, clear and concise, it feels like I'm a thirsty wanderer being given a first cup of water. Only now do I feel that I can start to understand Plato. Thank you, your videos are great.
@marnew1000
@marnew1000 2 жыл бұрын
1970s secondary schools didn’t even bother with this information. You either went down the coal mines or worked in construction.. I’m now in my mid 50s and loving your lessons. Your a fabulous teacher. Please keep them coming 😀
@MathAndScience
@MathAndScience 2 жыл бұрын
Thank you!
@nsdwastaken
@nsdwastaken 4 жыл бұрын
Wow this teacher is great...without him I couldn't find any other math teacher
@robertmulback6239
@robertmulback6239 3 жыл бұрын
This is got to be one of the best teachers I’ve ever seen I’m 75 years old been working with math for over 40 years maybe 50 and this is the best teacher I’ve ever ran a crossed this guy is really good I am I am actually believe this guy is brilliant and tell by the way his mind works he can take the most complicated situation and make it very very presentable
@youcannotspeaktomeanyhow
@youcannotspeaktomeanyhow 3 жыл бұрын
I stand by that!
@rosalinachua7229
@rosalinachua7229 3 жыл бұрын
Very well explained
@spvids46
@spvids46 2 жыл бұрын
Thank You A Lot Sir...You Are The Bestest Of The Best Teacher That I Have Ever Seen..
@stevemoyers5693
@stevemoyers5693 2 жыл бұрын
You sir are an EXCELLENT instructor!
@startuckval5198
@startuckval5198 4 жыл бұрын
You teach in a very engaging way, I like watching your videos very much
@mailiw2320
@mailiw2320 2 жыл бұрын
Jason, I wish my teachers were like you when I was learning all these stuff back then. I would have had a much much better foundations on these subjects. I am going down memory lane and relearning with your videos. No need to learn these for my line of work, but I always find myself glued watching your presentations. Please know that I very highly appreciate you. Cheers! :)
@MathAndScience
@MathAndScience 2 жыл бұрын
I appreciate it!
@everettharry8789
@everettharry8789 3 жыл бұрын
I always feared trigonometry because I was not introduced to it the proper way. Now I am very confident with it. I wish you were my teacher when I was in high school. Thank you sir. Really appreciate your help.
@banditlegal7452
@banditlegal7452 3 жыл бұрын
I am About to take calculus l next semester, I am glad that I found you.
@mohammedsaeed216
@mohammedsaeed216 4 жыл бұрын
Thx to your all videos it's very very helpful
@xiaowenchen2760
@xiaowenchen2760 2 жыл бұрын
I really enjoyed your explanation about tangent.
@ferdinandustandi8522
@ferdinandustandi8522 3 жыл бұрын
Excellent way of explanation.
@aerialrescuesolutions3277
@aerialrescuesolutions3277 3 жыл бұрын
My dvd library is getting filled with great examples and repetition of math. A Matrix is a matrix any way you Cos it. Jason is a real teacher who knows the how and why of the subjects he explains. This is by far the best explanation out there. James Matrix
@minakumari9154
@minakumari9154 3 жыл бұрын
you are brilliant with explaining.
@amaretemesghen4875
@amaretemesghen4875 3 жыл бұрын
You r soo amazing mathematics teacher.
@jorgebermeo1203
@jorgebermeo1203 4 жыл бұрын
You are the best my child is learning
@MathAndScience
@MathAndScience 4 жыл бұрын
This makes me happy!
@patrickbutler165
@patrickbutler165 3 жыл бұрын
Learning more from you in less than 24 hours than 4 years of high school
@Matlockization
@Matlockization 4 жыл бұрын
I encourage you to work your way up to differentials and beyond !
@glennirwin4710
@glennirwin4710 9 ай бұрын
Great explanation!
@mohammedhafiz3137
@mohammedhafiz3137 6 ай бұрын
Sir you are The Master.
@MyMathsAdventure
@MyMathsAdventure 4 жыл бұрын
How do you always seem to upload videos in the subjects I’m currently studying? 👍🏼😌
@MathAndScience
@MathAndScience 4 жыл бұрын
Perfect!
@anjanchoudhury4679
@anjanchoudhury4679 3 жыл бұрын
@@MathAndScience 🏧 in English to a school 🏫🏫🏫🏫🏫🏫🏫🏫🏫🏫🏫🏫🏫🏫🏧🔥
@elamvaluthis7268
@elamvaluthis7268 4 жыл бұрын
Very nice to understand.devoted teaching.
@MathAndScience
@MathAndScience 4 жыл бұрын
Glad to hear that - thank you!
@DachewBiru
@DachewBiru 9 ай бұрын
THANK YOU FOR YOUR BRIEF EXPLANATION
@jimmyflinn8718
@jimmyflinn8718 Жыл бұрын
This guy is a brilliant teacher
@MathAndScience
@MathAndScience Жыл бұрын
Thanks so much!
@jerzx777
@jerzx777 4 жыл бұрын
Thank You for your videos, it refreshed my rusty mind. :)
@tamarahenny2902
@tamarahenny2902 3 жыл бұрын
thank you so much it was very helpful!!
@alvintackleberry2803
@alvintackleberry2803 Жыл бұрын
Soh-cah-toa Great video been 40 yrs since school Now I'm addicted to Math go figure
@johnnyleon4395
@johnnyleon4395 3 жыл бұрын
excellent!! thanks
@patrickbutler165
@patrickbutler165 3 жыл бұрын
I wish my teacher told me about the chopping factor my goodness. Brilliant.
@irfankhan7822
@irfankhan7822 3 жыл бұрын
Well Explained Dear Sir : Thank you
@MathAndScience
@MathAndScience 3 жыл бұрын
Welcome!
@nishantpudake6790
@nishantpudake6790 2 жыл бұрын
Dear sir, I like this information.
@ignaciocastaneda5777
@ignaciocastaneda5777 Жыл бұрын
THANK YOU!!
@bhanupartapsingh3166
@bhanupartapsingh3166 10 ай бұрын
thank you sir.
@mohammadtareqsandid812
@mohammadtareqsandid812 Жыл бұрын
Oh well I don’t have enough words to thank you You’re an awesome brilliant teacher ❤
@MathAndScience
@MathAndScience Жыл бұрын
You're very welcome!
@kishor8197
@kishor8197 4 жыл бұрын
World best teacher
@MathAndScience
@MathAndScience 4 жыл бұрын
Wow thank you!
@mike2884
@mike2884 Жыл бұрын
One of the greatest math vids I've ever witnessed . I love u man ! 😢 I know I have a chance !
@MathAndScience
@MathAndScience Жыл бұрын
Best of luck. Thank you!
@dess9053
@dess9053 3 жыл бұрын
Thank you! My pre-calculus teacher didn't break it down nearly as clear is this lesson.
@treanamorris
@treanamorris 3 жыл бұрын
Thank you thank you thank you !!!
@tamireravi6379
@tamireravi6379 2 жыл бұрын
Thank you sir
@mathbbn2676
@mathbbn2676 2 жыл бұрын
💝💝💝 very good teacher
@alphahumanwaytosuperblife3972
@alphahumanwaytosuperblife3972 3 жыл бұрын
Your lessons cleared away my every fear in these concepts . Ultimate teacher May I know your name
@TerryJLaRue
@TerryJLaRue 3 жыл бұрын
This was an excellent presentation. However, for the trig functions, I prefer the Super Hexagon by Don't Memorise (not memorize). Anytime I have a series of trig problems even through calculus, I draw and label a unit circle, and a Super Hexagon. Everything is easy after that.
@simongozah66
@simongozah66 2 жыл бұрын
Thank you saver
@dikratouraity9456
@dikratouraity9456 4 жыл бұрын
Think you sir
@jbird4478
@jbird4478 7 ай бұрын
Trying to find a particular video but I think I need a course on the ordering of this channel first :-) So.... we're in Algebra 2 - Unit 18 - Video 07 - Part 1, which is the 3rd video in this playlist 😕
@cirog.9341
@cirog.9341 3 жыл бұрын
Thank you for the explanation! Is the part 2 available here on YT?
@HayabusaRydr
@HayabusaRydr 3 жыл бұрын
Have you come out with the vector video yet? If so can you provide a link?
@elahawaziri
@elahawaziri Жыл бұрын
I think you are a genius sir 😉
@teacheralicannal9554
@teacheralicannal9554 3 жыл бұрын
good
@drumtwo4seven
@drumtwo4seven 4 жыл бұрын
Sweet! 👍 3
@MathAndScience
@MathAndScience 4 жыл бұрын
Thank you! Cheers!
@JaeyBee
@JaeyBee 3 жыл бұрын
My man
@simpleman283
@simpleman283 2 жыл бұрын
start @ 21:15
@maleeshapriyanjana7604
@maleeshapriyanjana7604 2 ай бұрын
Anyone wonder how these terms got their names, like sine or cos?
@mahdikh6117
@mahdikh6117 4 жыл бұрын
Thanks👍
@MathAndScience
@MathAndScience 4 жыл бұрын
Welcome 👍
@roberttshitenda7878
@roberttshitenda7878 2 жыл бұрын
I am happy please can you explain on phasor diagram vertical and horizontal it is about cos.and sin how localize on phasor?
@roberttshitenda7878
@roberttshitenda7878 2 жыл бұрын
On 3 phases delta and star transformat
@Geers7Omoorstay
@Geers7Omoorstay 2 жыл бұрын
Please, give me information on where you based the expression ¨Chop Factor.¨ I have not been able to find a reference to it on the WWW that coincides with the use given to it in this video. The three referred meanings are: [1]verb_to cut (something) into pieces with repeated sharp blows of an ax or knife; [2]verb_to abolish or reduce the size of (something) in a way regarded as ruthless; [3]noun_a downward cutting blow or movement
@simpleman283
@simpleman283 Жыл бұрын
The answer is right there in your own comment. (2)verb: to reduce the size of....
@crazyjester993
@crazyjester993 5 ай бұрын
5:30
@RANDO4743
@RANDO4743 Жыл бұрын
What is part 08? Can't find it
@Gary-ts6dh
@Gary-ts6dh 2 жыл бұрын
16:54 - So, that means I get "one over on" my memory of the first two functions of trig!
@michaelellis4572
@michaelellis4572 2 жыл бұрын
👏👏👏
@user-tv4rx5pc6e
@user-tv4rx5pc6e 3 жыл бұрын
I can't find the next lesson...
@edvinasspangelevicius8197
@edvinasspangelevicius8197 4 жыл бұрын
Just don't stop teaching, please.
@aloewishus
@aloewishus 3 жыл бұрын
is the whole course on youtube now?
@MathAndScience
@MathAndScience 3 жыл бұрын
I put quite a few lessons on KZfaq nowadays, but not all lessons. If you want all lessons you can subscribe to the website and get all lessons. I also have worksheets available for many of the classes. I don’t have worksheets and quizzes for these particular lessons yet but I will in the future.
@swadeshtaneja3512
@swadeshtaneja3512 3 жыл бұрын
😊
@jay_stack1270
@jay_stack1270 4 жыл бұрын
Hi Sir Jason, where can I get to buy your polo shirt?
@youcannotspeaktomeanyhow
@youcannotspeaktomeanyhow 3 жыл бұрын
Ask Marco😏
@simpleman283
@simpleman283 5 ай бұрын
I have been trying to find the video of where you made the chart w/all the functions, of angles 0, 30, 45, 60, & 90. When I saw it I copied most of the chart, but now I want to complete the chart and can not find that video. HELP!
@olivur_1459
@olivur_1459 4 ай бұрын
Just search "Unit Circle - Definition and Meaning."
@simpleman283
@simpleman283 4 ай бұрын
@@olivur_1459 OMG Thank you sooo much.
@RockySinghaniyaRocky
@RockySinghaniyaRocky 6 ай бұрын
12:34pm5/1/2452
@hemarajue2736
@hemarajue2736 4 жыл бұрын
I think, the chopping factor varies from 0 to 1 for both sin and cos functions in the first quadrant. Our thoughts does matter. If you think positive,you get along with it. If you think negative,you will embrace it. If you think too much,you end up with nothing. What does matter here is, how we switch gears from negative to positive ones.
@MathAndScience
@MathAndScience 4 жыл бұрын
Yes!
@2d40
@2d40 3 жыл бұрын
Solve an example
@MathAndScience
@MathAndScience 3 жыл бұрын
Perhaps you should view the entire lesson. Numerous examples start around 25 minutes, after the lecture portion. Thanks, Jason
@yonasson762
@yonasson762 Жыл бұрын
grait grait grait
@kenishawilson6799
@kenishawilson6799 4 жыл бұрын
I wish cud come at my school and teach math my school teach math lame
@homelesshendrix
@homelesshendrix 2 жыл бұрын
When you are 45 degrees from the equator on the equinox, the Sun is at a 45 degree angle at noon and is the same distance from the equator as you, and since degrees are 69 miles, that means the Sun is 3105 miles (45*69) above sea level, according to your math. So welcome to Flat Earth. You just proved we don't live on a planet.
@MathAndScience
@MathAndScience 2 жыл бұрын
Nonsense. The fallacy is assuming the Sun is the same distance away from the equator. It is much further away.
@homelesshendrix
@homelesshendrix 2 жыл бұрын
@@MathAndScience I was not assuming anything. Triangles which have two 45 degree angles and a 90 degree angle, by definition, have equal length x and y sides, so it stands to reason the sun is the same distance above the equator as both 45 degree latitudes on the equinoxes, there is no denying this FACT, and you are not a mathematician if you want to argue it. Degrees of latitude are literally named after their angle to the Sun when it is above the equator. In fact, there are 180 sixty-nine mile 'degrees' of latitude between the Center of Earth underneath Polaris, aka the north pole, and 90 degrees South, aka the south pole, which means the South Pole is not a single point but a 71,800 miles circumference around the ocean and continents because the radius is 180*69. We live on a fixed, tangent plane where all things perpendicular are parallel to each other and there is no denying the fact the sea is level and on the same tangent as the land and the outer ice. The idea parallel lines converge below our feet at the 'center point' of so-called gravity is literally patented bullshit, There is only one up and one down. Any mathematician who suggests our world is hyperbolic is living in a matrix in their own minds. There is no holonomy, no parallel transport and no positive curvature what-so-ever. Use your mind for a moment. When they violated Euclid's 5th postulate, they invented space and none of it is real. End your career now by admitting the truth and at least you will have your self respect. Gravity is pure invention, as is general relativity.
@homelesshendrix
@homelesshendrix 2 жыл бұрын
@@MathAndScience The 'fallacy' as you say, is assuming Earth is a spinning globe. The FACT is, the Sun is at a 90 degree angle to both the North and South 'Poles' on the equinoxes, meaning it's sine and cosine are virtually equal at that distance because the Sun is so low to the ground. So for accurate measure you would go to the 45 degrees North and South latitudes and see the Sun at a 45 degree angle at noon on the equinoxes. Stop pretending the sun is 93 million miles away, false notions such as that were all contrived to support the broken hypothesis that Earth is a Planet/globe.
@MathAndScience
@MathAndScience 2 жыл бұрын
@@homelesshendrix I’m kind of speechless at your ignorance. You seem like an intelligent person but refused to except modern theories. So there’s no amount of evidence I could ever give you to convince you that your delusion is incorrect. I would just simply say this, we have astronauts in space right now orbiting a spherical earth - that is what you call a fact. We sent space probes to every planet of the solar system and many of the astroids, and the laws of gravitation that we used to calculate the trajectories of those probes are completely congruent with our understanding of the size and scale of the solar system. I’m sorry that you can’t accept these facts, and really hope that one day see and understand the beauty of the universe that surrounds us as it actually is, rather than as you wish it would be.
@austin.valentine
@austin.valentine Жыл бұрын
Boy loves axes
@BishnupadaDas-dg9mh
@BishnupadaDas-dg9mh 6 ай бұрын
No need to elaborate on sin and cosin. .
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