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

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  • Опубликовано: 3 июл 2024
  • Learn everything you need to know about trigonometry in high school in just over 30 minutes. Go to jensenmath.ca for FREE resources for all high school math topics. Please consider subscribing if this video was helpful for you.
    0:00 similar triangles
    3:05 SOHCAHTOA
    6:48 Sine and Cosine Law
    9:48 Special Triangles
    13:02 Unit Circle and CAST rule
    18:53 Ratios for angles greater than 90
    22:41 Sine and Cosine Functions (graphs)
    26:12 Radians
    28:51 Trig Identities
    31:56 Solving Trig Equations

Комментарии • 124

  • @stevejohnston7501
    @stevejohnston7501 2 месяца назад +61

    Brilliant explanation! Clear and concise…a natural teacher!

  • @robertbrooks6167
    @robertbrooks6167 Месяц назад +15

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

  • @shadowbolt5179
    @shadowbolt5179 Месяц назад +4

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

  • @friedrichmyers
    @friedrichmyers 2 месяца назад +6

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

  • @user-ld6rv9fl6b
    @user-ld6rv9fl6b Месяц назад +8

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

  • @gulledhaydar
    @gulledhaydar 2 месяца назад +63

    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
      @josephhall5681 Месяц назад +3

      Does it even feel good riding that hard?

    • @matthewphares4588
      @matthewphares4588 Месяц назад +2

      Bad idea. Video is better than books.

    • @punk4770
      @punk4770 Месяц назад

      @@josephhall5681mhm 😳

    • @simpleman283
      @simpleman283 Месяц назад

      Who buys books?
      You're watching a video.

    • @us3rG
      @us3rG 22 дня назад

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

  • @user-ny4ho4ku1h
    @user-ny4ho4ku1h Месяц назад +2

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

  • @sweetiebabysalmon
    @sweetiebabysalmon Месяц назад +4

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

  • @aktchungrabanio6467
    @aktchungrabanio6467 Месяц назад +9

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

  • @priyankaagrawal2321
    @priyankaagrawal2321 2 месяца назад +23

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

    • @FairleyWhite
      @FairleyWhite 2 месяца назад +2

      Been there! Out of anger 😅

    • @kiwidev01
      @kiwidev01 Месяц назад +1

      same lmao

    • @JonnyBoi957
      @JonnyBoi957 Месяц назад +2

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

    • @michaelgarrow3239
      @michaelgarrow3239 Месяц назад +2

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

    • @dakeypunchar6930
      @dakeypunchar6930 Месяц назад

      ​@@JonnyBoi957 Curiosity is a thing bro.

  • @velona509
    @velona509 3 дня назад

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

  • @kirbicat9509
    @kirbicat9509 8 дней назад +1

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

  • @vinluvs
    @vinluvs 2 месяца назад +4

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

  • @midnajo437
    @midnajo437 2 месяца назад +2

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

  • @baldaiomir
    @baldaiomir Месяц назад

    the best video on this topic so far

  • @riii_180
    @riii_180 2 месяца назад +2

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

  • @Cashers
    @Cashers 21 час назад

    man it is one of the greatest video for school level students thanks man

  • @asifkar
    @asifkar 4 дня назад

    Fantastic. Thank you

  • @ErnestChiya
    @ErnestChiya Месяц назад

    I thank you for such productive lesson...

  • @user-xn4xu6rk4c
    @user-xn4xu6rk4c 2 месяца назад +1

    Thank you so much Sir❤

  • @maris6843
    @maris6843 28 дней назад +2

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

  • @rifunacintafurina
    @rifunacintafurina 19 дней назад

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

  • @NolstanLogic
    @NolstanLogic Месяц назад +1

    Thank you so much sir.

  • @titusnelson9499
    @titusnelson9499 Месяц назад +1

    Nice. Well done. Good review.

  • @ish011
    @ish011 Месяц назад +7

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

    • @saujanyapoudel8910
      @saujanyapoudel8910 Месяц назад +1

      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.

  • @Droller
    @Droller Месяц назад +3

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

  • @EunouzEdham
    @EunouzEdham Месяц назад +5

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

    • @seeninthedark
      @seeninthedark Месяц назад +1

      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
      @Kekekerap Месяц назад

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

  • @PlanetNumeracy
    @PlanetNumeracy Месяц назад +1

    Good choice of top 10.

  • @-blackshadow-8946
    @-blackshadow-8946 16 дней назад

    Amazing. Please make for all types of function

  • @DanzelDangleben
    @DanzelDangleben 6 дней назад +1

    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

  • @chutii77
    @chutii77 Месяц назад +4

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

  • @komal5652
    @komal5652 Месяц назад

    It was magic ❤ thank you sir ❤

  • @Roben12345
    @Roben12345 3 дня назад

    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

  • @billmcmahon8949
    @billmcmahon8949 3 дня назад +1

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

  • @MonicahMangala-hw4fz
    @MonicahMangala-hw4fz Месяц назад

    🎉thanks for the video

  • @Piyush-sv6ek
    @Piyush-sv6ek 2 месяца назад +1

    Love you Sir ❤️

  • @komal5652
    @komal5652 Месяц назад

    You made it so simple

  • @gloryndjambi8373
    @gloryndjambi8373 12 дней назад

    Thank you 😭

  • @user-ft7dp6ik2y
    @user-ft7dp6ik2y 6 дней назад

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

  • @aarututor
    @aarututor 17 дней назад

    Excellent..

  • @amirvernekar
    @amirvernekar Месяц назад

    Great video

  • @COLATO_com_br
    @COLATO_com_br Месяц назад

    well done !

  • @Sbbooster
    @Sbbooster 2 месяца назад +1

    Thanks bro

  • @radhakrishnamurtypadyala7740
    @radhakrishnamurtypadyala7740 Месяц назад

    Excellent

  • @safrismyidea_spxrk
    @safrismyidea_spxrk 2 месяца назад +2

    Noted!

  • @naziakhan-zu1mx
    @naziakhan-zu1mx Месяц назад

    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

  • @mosaalmoaa2675
    @mosaalmoaa2675 Месяц назад +1

    Great,sir♡♡.

  • @agamvirgill8572
    @agamvirgill8572 2 месяца назад +6

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

  • @user-sx6zk2me4p
    @user-sx6zk2me4p Месяц назад

    Brilliant💯💯

  • @rahulkr4256
    @rahulkr4256 Месяц назад

    Sir I finally get the derivation❤

  • @naziakhan-zu1mx
    @naziakhan-zu1mx Месяц назад

    Please make one more detailed video about trigonometric functions

  • @divyakumar8147
    @divyakumar8147 Месяц назад

    thanks

  • @Malcollab
    @Malcollab 9 дней назад

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

  • @CharlesLoimanu
    @CharlesLoimanu 6 дней назад

    Well explained then my college teacher

  • @samric2000
    @samric2000 20 дней назад

    thanks a lot you saved me from failing

  • @OSAS726
    @OSAS726 Месяц назад

    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
      @hatebreeder999 Месяц назад

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

  • @VividForge
    @VividForge Месяц назад

    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😁

  • @ayeemido
    @ayeemido 2 месяца назад +1

    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

  • @katalyst4stem
    @katalyst4stem Месяц назад

    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 🙂

  • @narasimhads6871
    @narasimhads6871 Месяц назад

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

  • @YouTuber12570
    @YouTuber12570 2 месяца назад

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

  • @harrymatabal8448
    @harrymatabal8448 2 месяца назад

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

  • @DadPix-ew4mq
    @DadPix-ew4mq 19 дней назад

    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!

  • @Techbrethren
    @Techbrethren Месяц назад

    Brilliant explanation…you didn’t had to end it with that Jensenmath track though.🥺

  • @tigerfifty
    @tigerfifty Месяц назад

    This popped up only after I finished my trig course.

  • @RequiemL34
    @RequiemL34 2 месяца назад +1

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

  • @adugnajibriel5851
    @adugnajibriel5851 Месяц назад +1

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

  • @SOURCECODE_GAMEON
    @SOURCECODE_GAMEON Месяц назад

    Mmmmmh. Math 😊 🤩.

  • @worldbystorm90
    @worldbystorm90 Месяц назад

    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?

  • @CommonGrimeConsumer
    @CommonGrimeConsumer 2 месяца назад

    when do i arctan(8/17) i get something like 0.4
    Edit: just found out my calculator was on radians nevermind

  • @damiuscynthum3136
    @damiuscynthum3136 Месяц назад

    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
      @jseries101 25 дней назад

      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
      @Charliemayne716 9 дней назад

      1:2:3^(.5)

  • @timothymcglynn1935
    @timothymcglynn1935 Месяц назад +1

    🎉

  • @Imperfect__0_0
    @Imperfect__0_0 2 месяца назад

    I want coordinate geometry

  • @inioluwae
    @inioluwae 2 месяца назад

    ❤❤❤❤

  • @leso204
    @leso204 Месяц назад

    got in trouble many years ago at school when asked to find the angle' i said use a protractor it was not the answer the teacher wanted' i still stick with that maxim why go through all that hassle ? as you can tell this nonsense was not my fav' subject , simplification rules over complication ...........

  • @AnandParkash-xx4xd
    @AnandParkash-xx4xd Месяц назад

    👍

  • @ashxr793
    @ashxr793 8 дней назад

    im in y10 with my math calculator mock tomorrow im gonna fail for sure

  • @williamanderson859
    @williamanderson859 Месяц назад

    Trig reference

  • @vajramuni2323
    @vajramuni2323 2 месяца назад

    Superb bro, but the intro tho

  • @pepray
    @pepray 2 месяца назад

    W video

  • @eastwind3550
    @eastwind3550 Месяц назад

  • @rscmathsacademy317
    @rscmathsacademy317 Месяц назад

    Good explanation, but incomplete

  • @niallmcmahon-qs5jp
    @niallmcmahon-qs5jp Месяц назад

    I use Sex And The City instead of CAST.

  • @yourlocalbagget2605
    @yourlocalbagget2605 2 месяца назад +2

    I am in algebra why did I click this

  • @sudhanshupatil7687
    @sudhanshupatil7687 Месяц назад

    Sahi padhate hai ye

  • @peterward4005
    @peterward4005 2 дня назад

    How do mathematicians remember all this

  • @patjgavin
    @patjgavin Месяц назад

    7:38 the background makes it hard to see

  • @happyjoyful3483
    @happyjoyful3483 13 дней назад +2

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

    • @dannygough2200
      @dannygough2200 13 часов назад

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

  • @user-sr1ux8qf6r
    @user-sr1ux8qf6r Месяц назад

    3:18 socahtoa?
    It's Pakistan Bhuka Pyasa
    Hindustan Hara Bhara
    P/H , B/H, P/B

  • @MemeFunnyV
    @MemeFunnyV 2 месяца назад

    I really hate to memorise ABCD line in the description.

  • @JayCee-cn5jy
    @JayCee-cn5jy Месяц назад

    Why is math more fun when we are adults

    • @tonyisnotdead
      @tonyisnotdead 29 дней назад +2

      You arent forced by law to do it

    • @Pure77
      @Pure77 17 дней назад

      Seems like English and Language Arts wasn't fun to you either. Questions usually end with a question mark.

  • @Dr.Kraig_Ren
    @Dr.Kraig_Ren 7 дней назад

    Haha. I honestly expected an indian accent before clicking on this video. 😂

  • @user-mm6jq3gl9y
    @user-mm6jq3gl9y Месяц назад +1

    Bro speed running wrong chapter 💀

  • @TheMuslim-dx4tt
    @TheMuslim-dx4tt Месяц назад

    Great explanation masha Allah