All of TRIGONOMETRY in 36 minutes! (top 10 must knows)

[@stevejohnston7501]

Brilliant explanation! Clear and concise…a natural teacher!

[@Call_me_proto]

As a 30 year old man who enrolled in computer engineering and did not have calc, or trigonometry when I was in highschool... Thank you so much

[@さくら-b2r4i]

How you did not have trigonometry and calc

[@さくら-b2r4i]

I had them when I was 11 years old

[@idkwhy77]

@@さくら-b2r4i dude your literally japanese -__-

[@Aria_H05]

You are a live saver!!!!!!!! I am preparing for Master in Structural Engineering, after being in workforce and been away from all those calculations, I long forgot basic! I am trying to revise and recall my memory, Thank you so much!

[@aktchungrabanio6467]

The Unit Circle BLEW MY MIND! Why no one ever taught me that!?

[@teaformulamaths]

I'm curious how you were taught? :D

[@ichigoat8103]

@@teaformulamaths missed one lesson and never got it

[@roselynenantumbwe8462]

Man sori

[@makopalata4191]

same here

[@samueleczek]

When I was in school in Ukraine, they never showed us a unit circle. Instead, we had a table of values for sine, cosine, and tangent, which never made any sense to me. Then, when they showed me the Unit Circle when I started High School in the US, I was appalled by just how much it made sense!

[@shadowbolt5179]

This video is a little gem. Informative, short and easy to understand. Very well done

[@priyankaagrawal2321]

This is the best video on the best channel I have ever discovered on KZbin. Keep it up! As an 8th grader, I have learned all of trigonometry and calculus via KZbin. This video helped me a lot.

[@FairleyWhite]

Been there! Out of anger 😅

[@kiwidev01]

same lmao

[@JonnyBoi957]

You dont need calculus or trig in grade 8 💀. Where are you from bro?

[@michaelgarrow3239]

Good on you. Wish I had this in 8th grade. Instead of clueless teachers. Pay no attention on jealous haters. 😁

[@dakeypunchar6930]

​@@JonnyBoi957 Curiosity is a thing bro.

[@ish011]

Excellent! One suggestion is to rewrite Cosine law in simpler and straight forward manner: Cos A = (b^2 + c^2 - a^2)/2bc

[@saujanyapoudel8910]

That is just blind memorization. Whenever I need to use cosine law to find the third side of a triangle opposite to an angle (Say A) I think of it more as a 'Find the hypotenuse ' problem except the hypotenuse is opposite to the angle A instead of 90°. This makes more sense to me and I can setup the problem correctly without any doubt.

[@EYE-9999]

Isnt cosA= 1/secA ? I dont know much just know the basics aight dont make fun of me 🙃🙃

[@vectorsahel5420]

just remember the original formula and rearrange to whatever u wanna find, i dont like memorizing lol

[@Anshul-h2t]

@@EYE-9999 yes

[@DanzelDangleben]

2 days before my exams im here... wish id found this earlier.. hopefully i remember it all on the day and i dont break down because the exam is in chinese (mandarin). regardless, thanks for making me understand this which i've never done before

[@Hero-qg9ch]

Thank you a lot. I have a calc exam in two days and my trig knowledge is pretty weak. This gives me confidence to try my best.

[@gulledhaydar]

There is a book in you. You must put these "Must Knows" into a book! The book should be short and concise or without any unnecessary words!

[@josephhall5681]

Does it even feel good riding that hard?

[@matthewphares4588]

Bad idea. Video is better than books.

[@punk4770]

@@josephhall5681mhm 😳

[@simpleman283]

Who buys books? You're watching a video.

[@us3rG]

​@@simpleman283books will forever remain to be the best.

[@EunouzEdham]

I am a 8th grader and I loved the explanation,pretty simple.

[@seeninthedark]

keep striving for knowledge my dude, i'm in my second last year of high school trying to pick up my grades... maths is a fundamental thing to learn 💪

[@Kekekerap]

I am in 7th grade, and i am understanding it very well.

[@robertbrooks6167]

You did a much better job of teaching this then they did in college - for free

[@DadPix-ew4mq]

Must Know #1: I'd have simply said that because lines BC and DE are parallel, just know that BC / DE (which is 10 /4) would tell me the ratio (or the multiplier to use). So, 10 / 4 is 2.5, that's the multiplier to use on line DA (which is 6) to work out the length of line BA. So, 6x2.5 = 15. We know the long line DA is x +6 , and we know the length is 15, so x = 15-6, which is 9. It takes longer to explain it to actually do it as you can do it in literally seconds!

[@maris6843]

I was impressed with the first 1:30. I really like the layout of the video.

[@Name-idey5eg]

22:30 What do those special triangles have to do with it? What makes them special? And you can find the ratios only for 30, 45 or 60 degrees with them?

[@MusanGreen]

Simply brilliant! Well structured and clearly explained. I think you are a born teacher. Thank you so much.

[@RealEliter]

Bro this is a really really underrated video. There was a ton of super useful and conceptual information in here

[@JO-ji4bb]

Just wanted to say how much of a help this video was! Been refreshing myself on high school math; this was the perfect video for trig. Earned a sub!

[@UzairScheeperswallendorf]

0 45 60 90 180 360 tan x =i pefer circumferences of partially spherical objects -such as of a circle like pie

[@NathalieAlbrecht-f2d]

Thank you so much Jensen- I directly suscribed after watching this goldpiece! So helpful!

[@vincentzevecke4578]

It was quite helpful. I have takrn trig in more than 20.years This was very refreshing for me

[@equva]

YOU LITERALLY SAVED ME MY MATH EXAM IS TOMORROW THANK YOUUU

[@FrankCastle_08XX]

How did you do?

[@vinluvs]

Bro explained so good that i had to subscribe even though i don't study these anymore. Hat's off to you 🎉👌

[@amazzegaming4842]

hands down the best video here on youtube

[@friedrichmyers]

This was a rather great revision video for me! Thank you.

[@ShaanCurio-681]

In this video, all the concepts are wonderfully explained. So fortunate to have come across this amazing video Thanks a lot Sir. Such explaination was hard to find in books. It's really well explained by you. Thanks once again for making maths easy and fun and I did not do rote learning by cramming the formulas, but got to know the basics, how these formulas are formed. Relaxing for the brain to grasp on the concepts easily after watching this. Truly Incredible!!!!!

[@mjhughes9677]

Thank you so much, I'm no longer completely lost in my class!

[@agamvirgill8572]

can you do one of these for grade 10 analytical geometry?

[@Roben12345]

I'm from ethiopia the video takes very important formulas and tricks,but in my opinion instead of CAST - All Students Take Chemistry (ASTC) is unforgettable. Thanks

[@kirbicat9509]

just an amazing video! the explanations are as smooth as butter amazing work! thank you so much

[@worldbystorm90]

It has been a while since i have done trig and was looking to brush up. @ around 8:08 - 8:50, you got approxametly 50.8 degrees. I got around 42 degrees. This comes to A = Cos^1(-283/-384) which = aprox .7422 rad or 42.5 degrees. Am I wrong?

[@hernanplayzz358]

thank you so much for this! badly need this as a refresher for my upcoming entrance exam .

[@Speed85]

Time line of the video is 36:49 Break it down and you get 6^2:7^2

[@RoydahNkombalume]

Wow you are the best online teacher I have ever seen 🙏🏻🙏🏻🙏🏻 continue working hard hard sir❤❤

[@Droller]

Do a vector video next targetting Grade 11 and 12. Love the videos!

[@riii_180]

Thankyou so much sir ❤this helped me a lot in my invs. Trig

[@itzmaailaaaife]

Bro just did the work, which my advance level techer took 6months🗿

[@jinjin1156]

ill binge watch you sir ❤

[@noteventrying27]

Great video I understand trigonometry so much better. I just have one question for number 10 how did you substitute pie/4 into the unit circle

[@Mahle-f2b]

Well said. Thank you very much for sharing with us.

[@Simeonlovesgod]

Bro explained this topic in 36:49 min better than my teacher in 5 weeks . These Americans are different

[@fair-unfairfair9687]

Clear and Excellent explanation. Please do more these type of videos on different topics.

[@GloriaJesu]

This literally is all of trig. Good job.

[@velona509]

All your math tutorials are Excellent. Thank you so much.

[@damiuscynthum3136]

I must be missing something. I have a triangle with known angles, 90 60 and 30, and a single known side length of 3 between the right angle and the 30. If the 30 is the reference angle, 3 is the Adjacent side therefore 3=a. I want to solve for the Hypotenuse, so h=x. I try to apply sine law. x is the hypotenuse, and the angle opposite the adjacent is 60, so x/sin(90) = 3/sin(60). Some balancing and x = 3sin(90) / sin(60) Which comes out to approx. -8.799 Which does not look even slightly correct. Just eyeballing my triangle, the hypotenuse should be slightly more than 3. I almost expect it to come out to pi. It should not be more than double the length of the known side and also negative. What am I doing wrong?

[@jseries101]

You are correct about the answer being a little more than 3. I'm no math wizard. I learned a much more simple approach to trig. From my limited understanding though, you would want to choose Cosine to work with. The SOH, CAH, TOA choice is determined by which corner you are working from and the results you need to know. Working from the 1) 30° corner , 2) you know the adjacent side, 3) you want to know the Hypotenuse. You choose to use CAH since this formula uses both the known side(Adjacent) and the unknown (Hypotenuse) side. Plug this into your calculator and you will get the number you suspect.....hope this helps you.

[@Charliemayne716]

1:2:3^(.5)

[@AK01547]

8:52 the value I got on the calculator is 120.7°

[@mosshead_vinsmoke]

Please do this to all general topics in Maths - trigo, geometry, PnC , Calc-1/2 , Lin Alg , Disc Math....

[@lethabosejoe1252]

Sorry sir, but can you please explain how you got, 28,7°, in 6:43, i keep getting 0,49 instead?

[@gameplaystart1213]

He uses arcsin instead of the normal sine, because arcsin looks for the angle while normal sine looks for the side lenght

[@andreajimenez6601]

Thank u so much I am 47 I love learning this u make this so easy to understand 💗

[@lego-brikzproductions1415]

Thank you very much, I was having trouble understanding sin/ cosine functions, and also of the solutions, keep making high schools maths top 10s, they're really easy to understand

[@Iluv_U_bro]

Your cosine law formula for angles is different from other sources. Other sources use this formula Cos A = a²+b²-c²/ 2ab. Does it have the same result?

[@gamerdahiya-m9e]

best math vedio helpful point during jee and neet preration

[@OSAS726]

It’s funny on the date that you posted this video I took my trigonometry finals that day and I made a 100%. Thank you so much for posting this video. I’m sure it would help many people to ace their trig finals as well. BTW I’m 51 years old taking electrical engineering. I started this journey last semester with my college algebra, which I also got a final score of 100%.. next semester calculus 1

[@hatebreeder999]

Wow inspiring! I am 38 and want to do something similar but unfortunately here in India we have very rigid educational system

[@user-gq4xj4cm2u]

I'm not sure the calculator has the ratio of all angles to 3 or 4 decimal point cos(41.387) stored (would b to many combinations) ....must b some other process or logic other than pure storage ... any thoughts

[@baldaiomir]

the best video on this topic so far

[@schoolprojectslikeusual]

Can someone please explain what does Cast Rule/ Unit circle do? Like is it based on bearing or something different

[@sweetiebabysalmon]

THE BEST VIDEO SO FAR! KEEP IT UP!! YOU GAINED ONE SUBSCRIBER ❤️‍🔥

[@WhateverIwannaupload]

thanks for the video dude. spent like 2hours following you along and doing everything and understanding everything. stopped at 21:26 but ima pick up the rest of the video today when im ready. im dedicating 2 hours of my life everyday so i can get back to mathematics. i just wanna be able to talk shit online and understand math memes with a degree in math. L O L

[@midnajo437]

very informative and helpful video. Thanks a lot for sharing your knowledge.

[@parthdesai4778]

🎉🎉. All the best from a fellow aspirant. We will crack it this time ❤

[@StephenBoothUK]

Rather than SOHCAHTOA I was taught “Silly Old Harry, Caught A Herring, Trawling Off Albania”. Gets around the fact that both Hs in SOHCAHTOA are silent. Worked for me, I still remember it 40 years later.

[@EdBlutarski-qp4um]

…Oh Hell Another Hour Of Andy…

[@snowecaddel9454]

That’s a lot longer than SOHCAHTOA but do you lmao

[@StephenBoothUK]

@@snowecaddel9454 longer but easier to remember.

[@carrotbot]

lol I’m in eighth grade and watch these videos religiously so I can be the annoying kid in class that corrects the teacher

[@saqibibraheem954]

Same

[@saqibibraheem954]

I actually might go to year 10 out of grade skipping since I know everything in year 8

[@JoelMogwasa]

Not a good mindset.

[@naziakhan-zu1mx]

This man cleared all of my concepts I knew all these things but didn't know the real reason behind these equations and terms, I feel like I knew nothing

[@TaqrifanWicaksonoXII3]

Thank you so much for making this video. This helps a lot. 😎💗

[@billmcmahon8949]

Top Ten Must Knows for Vectors, please and thank you.

[@PROPJOELALOISKUK]

Simple explanation.. thankyou..it helps me alot

[@tearsofwizard570]

Can you can you describe briefly about the sin 30 degree that which is 1/2 is not √3/1

[@Coffee2024_1]

Thats 1/2

[@evelynn7853]

YOU ARE MY HERO

[@PlanetNumeracy]

Good choice of top 10.

[@LostInTheMysteriousWorld]

Which software do you use to teach online . Tell me about your equipments also. How do u make this video please let us know

[@gghgfffdsw167u]

trig equation number one is not correct, can you recheck it ?( sinx =-1/2) Thank you !

[@adugnajibriel5851]

Is it for a university (math department) or high school level, If the latter is true, a lot of gaps are identified. Your reply

[@narasimhads6871]

Kindly give how do you prepare these slides, and prepare a video.

[@RequiemL34]

#1 no triangle is what it looks like until you can prove it numerically. Took me up highschool to understand this.

[@-blackshadow-8946]

Amazing. Please make for all types of function

[@asifkar]

Fantastic. Thank you

[@Europe-d1u]

Hi Could you make a video on its graph how it is made from scratch... please

[@VividForge]

Sir,Your explaination style is very clear Can you make a class10th series(mathematics) for India I mean it's up to you but it would be much better to learn from you😁

[@toufeeqsiddique7520]

How did you get this chalky blackboard background??

[@ayeemido]

Thanks for the effort man ❤, but that's not all trigonometry, as far as I remember there are rules for sine(X + Y ) , and cos(X + Y ) and other trig functions

[@ComfortAkingboju]

Interesting and so educative ❤

[@ErnestChiya]

I thank you for such productive lesson...

[@MalCollab]

Brillaiant video! Regarding for tangent law, does it relate to sine and cosine.

[@robintay1449]

Insanely helpful.

[@titusnelson9499]

Nice. Well done. Good review.

[@zaiyyxo2010]

This is very helpful, thank u sm

[@lachenmann]

Please do more Trig Identities!

[@__.Kookz....]

A) cry B) cry.

[@katalyst4stem]

Dear Jensen, thank you for your efforts. As a teacher myself, I understand the work behind this awesome teaching. Can I ask you which teaching tool are you using. For instance @ 3:40 (must know number 2) you were able to scale the right angle triangle without scaling anything else on the screen. FYI, I use ppt and various transitions for the animation effect. Pls. shed some light Thanks 🙂

[@NolstanLogic]

Thank you so much sir.

[@ehfhejdfhhehd1845]

thankyou so much!

[@naziakhan-zu1mx]

Please make one more detailed video about trigonometric functions

[@Limitless-learner]

Love you Sir ❤️

[@FerreroRocher-r3f]

Thank you so much Sir❤

[@komal5652]

It was magic ❤ thank you sir ❤

[@cyrilmoussoki3193]

Thank you for sharing

[@harrymatabal8448]

I thought similar triangles was in geometry but you say it is tricknometry. I now to your superior knowledge

[@triple_gem_shining]

You almost formed a sentence, congratulations.

[@SuperEDU-h9z]

​@triple_gem_shining pfft- hahaha, i get it but i don't really get it

[@happyjoyful3483]

just one question why on earth we need a similar triangle in real life ?

[@dannygough2200]

Because the earth is flat, it's so obvious.😅

[@Seaborg-sv9ff]

To get you a diploma and a job

[@Jeffseidcrew]

It's the proof of how trig works

[@spicyramen464]

Well, similar triangle is one of the basic concept relating Trigonometry. You can't understand Trigo without knowing the basics and we all know trigo is very vital in different areas such as Engineering, Architecture, Navigation, Astronomy and many more!

[@PJ.Gardener]

Equality

[@safrismyidea_spxrk]

Noted!

[@rahulkr4256]

Sir I finally get the derivation❤