Basic trigonometry II | Basic trigonometry | Trigonometry | Khan Academy

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  • Опубликовано: 24 янв 2025

Комментарии • 447

  • @allenoccena9528
    @allenoccena9528 7 лет назад +80

    Man I really do appreciate you Khan and your whole idea. You just saved a lot of people from inflexible teachers that refuse to be like water when teaching and stay to their way of teaching.

    • @tuforu4
      @tuforu4 5 лет назад +1

      True.
      Also i did maths in another language..

  • @sophiem285
    @sophiem285 5 лет назад +53

    The phrase I was taught to remember which sides to use for each was "Oh Heaven Another Hour Of Algebra" and you take the first letter of each of those words. O stands for opposite, A is for adjacent and H stands for hypotenuse. And I remembered which was for Sin, Cos, and Tan because my teacher constantly repeated it. Putting this here in case anyone got confused with the soh cah toa method.

  • @gamingjoker17
    @gamingjoker17 8 лет назад +219

    Learned this faster in a 12 minute video than an hour & a half class. And why do we need this btw?

    • @michaellaughlin9685
      @michaellaughlin9685 6 лет назад +47

      Gaming Joker For a lot of things!
      Unless if you're in retail, you will always need Geometry, Trigonometry, Algebra, Physics, and Calculus. Education is extremely important in modern times.
      I assume you're in high school; you will discover the importance of education and why you must have it.
      If you're a small business owner or a manager, then you will need to have an extensive understanding of derivatives to calculate the rate of change in clientele and profit to address the efficiency of fabrication of your product or delivery of service.
      Hopefully you understand my reasoning.

    • @brandonfleming7118
      @brandonfleming7118 6 лет назад +34

      trig is heavily used in navigating and maps. If you ever wanna learn Rocket Science trig and calculus are like gods to you.

    • @50subscriberswithnovideos67
      @50subscriberswithnovideos67 5 лет назад +15

      MBLBOSS using fancy words to look smart since 1994

    • @RazorM97
      @RazorM97 5 лет назад +1

      Gaming Joker i think if you get these numbers if you carefully mutiply them by the sides in our ratio you can get the other side of the ratio. And from sin you get y, cos gives you the x value btw.

    • @Luis-ky7wx
      @Luis-ky7wx 4 года назад

      @@brandonfleming7118 xD 2 year old comments can still make me laugh

  • @tauriuslitvinavicius
    @tauriuslitvinavicius 11 лет назад +153

    colors is the key - to teach. I practically didn't loose my attention at all, because he uses colors

    • @kappnspacey8664
      @kappnspacey8664 5 лет назад +2

      Ok, "Taurius Litvinavicius"

    • @languageartsgrade
      @languageartsgrade 5 лет назад +1

      Same

    • @matt-g-recovers
      @matt-g-recovers 4 года назад +2

      Funny you mention (seven years ago!) the colors give some really good insight that wouldn't be there otherwise. Relationships

    • @fiuoniio
      @fiuoniio 3 года назад +1

      true, true...i still lost ALL of my attention tho 💀

  • @2Cerealbox
    @2Cerealbox 10 лет назад +42

    I'm 28 and I never had trig or calculus in my life. These cos and sin things were like the scariest things I ever encountered in real life. I'd type cos into a calculator and holy god what is this number?
    Now I learn this is all there is to it (i mean, I'm sure there's more to do with it, but it's just triangles). Oh man, I can't believe I was so scared of this stuff.

    • @thecoolmaster6960
      @thecoolmaster6960 10 лет назад +1

      ***** trig is yr 8 (second year of MS for you americans) math at my school

    • @TheGermanFabian
      @TheGermanFabian 10 лет назад +3

      ***** They taught it to us in middle school.

    • @themainproblem
      @themainproblem 10 лет назад +2

      You had shitty teachers. This guy is even throwing it out there quite fast for a lot of us. This stuff clicks nicely in his mind but lots of us just can grasp it that fast. This was a great tutorial however, in my opinion. But don't feel too bad.. In my world I'm sure he would struggle with great difficulty.

    • @onetree2303
      @onetree2303 7 лет назад

      Ryan N

    • @jerfersonmatos28
      @jerfersonmatos28 7 лет назад +1

      If schools teach it at a low grade, they are completely wasting the students' times, becouse probably most of them will forget and will have, in the future, to relearn almost everything. It's not a dificult subject, but needs memorization and knowledge of real life examples to remind us

  • @oliwierpszczokowski5115
    @oliwierpszczokowski5115 9 лет назад +211

    5:59 "Let's make it a little bit 'Khan-crete'."
    Subtittles lie

  • @aaronzoom479
    @aaronzoom479 8 лет назад +64

    I'm an up and forth coming architecture student and Trigonometry, I was never good at it, but thanks to this tutorial I may just be able to pull off an A- at the least.
    Aiming for all "A"s on all of my subjects, wish me luck.

  • @joshuastevenson5140
    @joshuastevenson5140 9 лет назад +38

    Im a senior in HS taking Trig and probably already failing (3rd week of school).. My teacher is new and he's garbage, quite frankly. We've had 5 students already drop the class and I was considering being the 6th.
    Not anymore. KA saves lives (and grades).

    • @johnd-k3539
      @johnd-k3539 9 лет назад +1

      +Joshua Stevenson close one there, i can barely skim out of secondary at the rate I'm going, this stuff is my comeback

    • @adamtrocklgdsmand1179
      @adamtrocklgdsmand1179 8 лет назад +1

      How did it go?

    • @johnd-k3539
      @johnd-k3539 8 лет назад +1

      A PIECE OF CAKE C: meh.....exams are a week away

    • @adamtrocklgdsmand1179
      @adamtrocklgdsmand1179 8 лет назад +1

      john daymond-king hope you will do well ;)

    • @johnd-k3539
      @johnd-k3539 8 лет назад +1

      A PIECE OF CAKE C: yea

  • @abrar2888
    @abrar2888 5 лет назад +43

    “SOH CAH TOA”
    the enthusiasm 😂

  • @ZimXander
    @ZimXander 12 лет назад +8

    I think we should have these videos in math class and have supplementary tutors. I'd be dead in my math classes if it weren't for Sal. His techniques and methodologies should be the set standards and requisites for educators in every classroom.

  • @olivia.j
    @olivia.j 10 лет назад +40

    OMG YOU ARE MY LIFESAVER THANK YOU THANK YOU! my math teacher just can't explain it well but i get this thank you so much!!

  • @SpinyNormanDinsdale
    @SpinyNormanDinsdale 14 лет назад +8

    I'm so happy you are "re-doing" your older videos with your nice new writing skills! Would you consider teaching us about General Relativity?

  • @mcbride967
    @mcbride967 11 лет назад +134

    I remember soh cah toa by "some old hippy, caught another hippy, token on acid."

    • @ashokgoudvollala3392
      @ashokgoudvollala3392 7 лет назад +5

      Same to me

    • @skreepyy
      @skreepyy 4 года назад +2

      What

    • @aredherrera151
      @aredherrera151 4 года назад +1

      where did u go to school buddy?!?!

    • @mcbride967
      @mcbride967 4 года назад +7

      @@aredherrera151 The streets taught me everything I know. 🤣

    • @aredherrera151
      @aredherrera151 4 года назад +4

      @@mcbride967 hahaha, can't believe you responded to a 6-year-old comment of yours

  • @rrrrssss156
    @rrrrssss156 2 года назад +2

    this really helped me. i have my finals for math tomorrow and trig is the only thing i didn't understand because i missed the whole unit on it, without being explained what it is properly. this saved my life because im good at math, but not watching this would bring my grade down by a letter

  • @nehla_noor
    @nehla_noor Год назад +3

    Learned more in a 12 minute video than a 2hour lecture! Understood everything clearly thankyouuu

  • @nusratjahankhan4954
    @nusratjahankhan4954 2 года назад +3

    Thank you so much. !! I am watching this after 11 years !! It’s so helpful

  • @mobashirmukit2369
    @mobashirmukit2369 3 года назад +4

    "Let's do a ton of examples"
    inspiration of the day..

  • @shuzz.
    @shuzz. 8 лет назад +18

    Thank you so much, teacher :)

  • @sumitmam1
    @sumitmam1 11 лет назад +13

    I m from Delhi (India) Indian maths is very highly appreciate in the world.

    • @swaveboard5187
      @swaveboard5187 10 лет назад +12

      Obviously your english isn't.

    • @Smartboysism
      @Smartboysism 10 лет назад +1

      MARK CHAN racist

    • @swaveboard5187
      @swaveboard5187 10 лет назад

      christopher porras Oh I'm sorry that you were offended. Do you need any condolences?

    • @Smartboysism
      @Smartboysism 10 лет назад

      just kidding bro :D Peace yow

    • @y0Neza
      @y0Neza 9 лет назад +1

      MARK CHAN Lol Mark CHAN, Jackie Chan POW

  • @ardentares1167
    @ardentares1167 Год назад +1

    Thank you so much sir I am 'soh cah toa' to you will recommend your channel to all my friends

  • @jetpaq
    @jetpaq 11 лет назад

    You have a wonderful dad.. He knows whats ahead in school, and these vids will certainly help you beyond measure. I wish I had a dad that cared that much. Trust me on this.. Do it.. Dont think..just do this..youll be so SO Glad u did..OMG please trust me.

  • @wantsomecandies73
    @wantsomecandies73 2 года назад +4

    After 20 years I finally understood that, Thanks:-).

  • @TheGreenLounge21
    @TheGreenLounge21 8 лет назад +2

    Happened to land this course. It was a good refreshing course. I'd like to add that it would be more remembering if sin/cos/tag goes with a visual way (S of sine streaches over the opposite starting from the hypotenuse, C of cosine starts from the hypotenuse and moves to the adjacent , T of tangent starts from the adjacent and moves up to the opponent). Hope this works.

  • @ekacupaj
    @ekacupaj 14 лет назад +1

    this is so much easier than the chart my teacher told me to remember of all the values!
    sal, you probably saved my *** for my quiz tomorrow

  • @TheRisky9
    @TheRisky9 8 лет назад +5

    I'm actually here to figure out if these videos are really as good as people say they are. Well, one way to find out. Pick a complicated subject you know nothing about and see if you can master it. Well, I finally know what those buttons on the calculator mean. Way better than my physics teacher could explain it.

  • @ipu0ny0urchest
    @ipu0ny0urchest 13 лет назад

    this helped me out a lot. before watching this video, the only part of triganometry i knew was soh cah toa, but now i understand how to use soh cah toa. Thank you so much.

  • @Velopter
    @Velopter 10 лет назад +9

    I love it how he repeats himself constantly.... but i hate it that he repeats himself constantly...

  • @JinoLim
    @JinoLim 9 лет назад +4

    I am currently in grade 8, I have been learning about Quardratic Functions and Logarithms since grade 6. I am currently learning about Trignometry, and I knew the baics (sin, cos, and tan) since grade 4 and 5. I was getting a little confused about how the whole Trigonometry subject. Since I didn't go back to the subject for a while.
    This is the first video I watched from Khan Academy. It only took me about 5 minutes to understand since it was so clear! I now know the Basics of Trigonometry. I know I should of learned the basics a long time ago. You have made my day so much better, thank you :D. I will make sure to subscribe and like the video.

  • @edlynnnau536
    @edlynnnau536 5 лет назад +4

    I can never find the next one. Even though I have Autoplay on, it moves to something else and not the next lesson (something completely different). So frustrating!

  • @user-cj9mr9kc6e
    @user-cj9mr9kc6e Год назад +1

    Good job explaining Mr. Sal Khan Sir!

  • @DoubleQCubed-d7o
    @DoubleQCubed-d7o Месяц назад

    1:41 I have an idea to approximate it first take your number like ab and take b and look for squared numbers and if it ends with b then square root that number and put it in the end and then take a number that is the closest to the a and don't go over it.

  • @Mrwirez
    @Mrwirez 12 лет назад

    I have an employment aptitude test Saturday... I had trig 25 years ago. THANK YOU for the refresher!
    1-Start with the basics. It comes back :)

  • @khedron7349
    @khedron7349 2 года назад +2

    man’s saving my life

  • @missteenybobeeny
    @missteenybobeeny 12 лет назад

    BAM!! You are awesome! In 15 min you showed me what my teacher was trying to for like a month of classes.

  • @raniertruesdale127
    @raniertruesdale127 8 лет назад +79

    any one else about to fail the hell out of your geometry final

    • @luccamo1080
      @luccamo1080 7 лет назад +3

      I. Watching this 3 years earlier before my final so I'm not going to die

    • @kelbybecker1685
      @kelbybecker1685 6 лет назад +5

      This is easy to understand, no one should fail.

    • @ranganchakraborty2425
      @ranganchakraborty2425 5 лет назад

      Four years before my final.

    • @hellobangsie4342
      @hellobangsie4342 5 лет назад

      Ranier Truesdale I’m about to take a college entrance exam and I will surely fail. If I don’t, I’ll update.

    • @mandyyang7449
      @mandyyang7449 5 лет назад

      Hello Bangsie So did you take it yet?

  • @KingSarthak
    @KingSarthak 13 лет назад +1

    what took my teacher 1 and a half hr to teach, you taught me in 21 minutes all together, and i actually understood it all and I'm just a sophomore in high school :D

  • @cmyoo53
    @cmyoo53 2 года назад +3

    Thank you so much for making this amazing and helpful video Kahn Academy!

  • @Darkness-rs9sp
    @Darkness-rs9sp 9 лет назад +3

    Thanks again, saves my time from reading an old book containing 500 pages, thanks a lot...

  • @vedv2046
    @vedv2046 3 года назад +2

    Thank You so much it helped me a lot ♥️

  • @mrtartar5015
    @mrtartar5015 5 лет назад +2

    khan academy the goat for when you have a math test and you dont know how to study for it

  • @Yash-fe1fp
    @Yash-fe1fp 8 лет назад +2

    wow..... Thanks man I'm in 8th grade studying in sg we are wayyyyyyy ahead of this in school, but life saver cus my smo prep classes are starting and this helped

  • @DragonSlayer23X
    @DragonSlayer23X 12 лет назад

    I am humble seriously.Nobody explains it better than Khan.

  • @TheMike6452
    @TheMike6452 12 лет назад

    u r de best!!!! helped me alot

  • @pufalupagus
    @pufalupagus 11 лет назад

    khanacademy is amazing! Khan has no idea how many lives hes changing!

  • @JamArdinez
    @JamArdinez 11 лет назад +1

    Thank you for making studying Math fun for us!

  • @vincentdsouza8711
    @vincentdsouza8711 6 лет назад +1

    Deserves more likes

  • @charleshanselbugaoan6205
    @charleshanselbugaoan6205 8 лет назад +1

    Omfg! I didn't know that this would be this easy! Thanks

  • @amirkhanark
    @amirkhanark 14 лет назад

    we learnt this short cut some people have (sin=p/h) curly black hair (cos=b/h)through proper brushing ( tan=p/b), I think this is easy to remember also.

  • @patiencebright
    @patiencebright 12 лет назад

    Thank you soooo much. I took Trigonometry in high school and got a B but don"t remember anything. THese tutorials were very helpful bc I plan on taking PreCalculus to Calculus III. THanks a lot.

  • @endless_ocean7987
    @endless_ocean7987 7 лет назад +2

    Instead of showing the hypotenuse as a square root number wouldn’t it just make more sense to get the result from square rooting it so you don’t have to rationalise the number?

  • @sreelatharaghu1748
    @sreelatharaghu1748 8 лет назад

    Awesome sal. U set the standard for education

  • @satyakar6583
    @satyakar6583 11 лет назад

    Thank you! So much.....!
    With love from India !

  • @amirkhanark
    @amirkhanark 14 лет назад

    You are doing great job !!!! .

  • @Zoco.
    @Zoco. 13 лет назад +2

    they should just get these videos in maths class instead of employing teachers

  • @SmileyyWasHere
    @SmileyyWasHere 13 лет назад

    i love you. thank you so much. your better than my math teacher.

  • @joytotheworld3604
    @joytotheworld3604 6 лет назад

    THANK YOU!!! YOU ARE THE BEST KHAN ACADEMY!!

  • @alicaliskan124
    @alicaliskan124 2 месяца назад

    ooh yes soh cah toa in my mind Thank you so much teacher🎉🎉🎉

  • @bassaholic117
    @bassaholic117 3 года назад

    Man, I forgot how repetitive high school math was... TY for the brush up tho

  • @ajaykumar-xj6vi
    @ajaykumar-xj6vi 12 лет назад

    i am very impressed from this lecture thanks

  • @Cblizy
    @Cblizy 12 лет назад

    Its about the ratios and relationship between the 3 angles.

  • @chrismassey28
    @chrismassey28 11 лет назад

    Really nice explanation made it easy as abc with SOH CAH TOA !

  • @TheBerr123
    @TheBerr123 9 лет назад +9

    Watching this stuff for PreCal(May it die and be damned in hell)> Oh sweet I see a playlist, better watch the 39 videos while I am at home and sick.

  • @cmareiro1
    @cmareiro1 12 лет назад

    Definitely just helped me fix my homework.

  • @revhead9897
    @revhead9897 7 лет назад

    This man is a life saver. Thank you for making this video, you really helped me.

  • @happyyadav6950
    @happyyadav6950 4 года назад +1

    i love the way he says soh cah toa like hakuna matata

  • @MrTitangodification
    @MrTitangodification 11 лет назад

    This is really easy! Thanks for the demo!

  • @reflextaze419
    @reflextaze419 7 лет назад

    This is just khan-tastic!!!😎

  • @KamiOfBlaze
    @KamiOfBlaze 12 лет назад

    Yes Im finally getting this, My freaking teacher goes way to fast for me and other classmates. With this I'll be able to catch up a bit.

  • @abcdefg0129able
    @abcdefg0129able 12 лет назад

    I learn more from Khan than at school.

  • @KiberMath
    @KiberMath 14 лет назад

    hey Khan ) which editor do you use for your lecturs?

  • @zack_120
    @zack_120 3 года назад

    a Q to the genies reviewers: at 11:52, the two equations (tan 30° vs. tan 60°) at the bottom should have reciprocal results, but they don't if only one result but not both is modified by multiplying sqrt(3)/sqrt(3), i.e. sqrt(3)/3 is NOT the reciprocal of sqrt(3)!

  • @Ayobur
    @Ayobur 13 лет назад

    @MrFK2 Theta is the Greek term/word used to describe an angle, there's more meanings, but that the only one I know.

  • @eddybrooks9130
    @eddybrooks9130 4 года назад

    This helped me for physics

  • @persiangamer18
    @persiangamer18 13 лет назад

    you have helped another person .
    thank you :)

  • @OfficialNetick
    @OfficialNetick 11 лет назад

    This helped me so much! Thank you

  • @Oblidescent
    @Oblidescent 4 года назад

    Very useful!!!

  • @HadiExtreme
    @HadiExtreme 11 лет назад

    I have an exam tomorrow and I understand all this but when I try to solve anything I mostly mess up =/ I even used these (sin, cos and tan) in physics last year and I did well...
    Khan Academy to the rescue!

  • @ChadPark05
    @ChadPark05 12 лет назад

    what program do you use for this? its really pleasant on the eyes

  • @Moemoki
    @Moemoki 11 лет назад

    man you are great! i wish i could pay so much attention to boring teacher

  • @mio68df
    @mio68df 13 лет назад

    Nice! so neat and well explained

  • @motion2597
    @motion2597 9 лет назад +6

    Im an 8th grader just started. Im here because I want to learn something new. It may be high school math but its easy

    • @kamrot04
      @kamrot04 8 лет назад

      +Son Goku Who?

  • @paigambarm.tamboli3750
    @paigambarm.tamboli3750 8 лет назад

    this help a lot

  • @jamesadam1548
    @jamesadam1548 9 лет назад +6

    I'm german and I fkin understand it :D
    Thank you :) You saved my life... And these aren't just words :D

  • @ChefboyRZ215
    @ChefboyRZ215 13 лет назад

    awesome i really understand it

  • @alfalfa226561
    @alfalfa226561 12 лет назад

    sooo helpful! i think I'm finally ready for finals tommorrow....

  • @lanog40
    @lanog40 12 лет назад

    Math is so fun once you figure out how to implement it into real life!

  • @Bakmoon
    @Bakmoon 13 лет назад

    @MrFK2 A delicious kind of greek cheese that goes great on salad.
    I think you mean theta however. It's just the variable that is traditionally used when talking about an angle.

  • @sangoh2000
    @sangoh2000 11 лет назад

    I'm not exactly sure what you're referring to, but make sure you're using soh cah toa where sine=opposite/hypotenuse.

  • @aftabkarim5639
    @aftabkarim5639 7 лет назад

    V good Khan academy . proud

  • @spyrolatro
    @spyrolatro 13 лет назад

    @Yefim49 I know to calculate it with trig graphs but i think they should find other solution although does the job
    accurately but just for intuitition.

  • @SoSimpleSoSwaG
    @SoSimpleSoSwaG 12 лет назад

    good Job!! i Hope To see more Edu Videos From U !! :)

  • @jimmyhu6644
    @jimmyhu6644 12 лет назад

    I heard “fuc” at 7:43............ the video is amazing!!! like alaways

  • @randommaster6372
    @randommaster6372 7 лет назад

    i feel : Old Harry(opposite/hypotenuses=sin) And His(adjacent/hypotenuse=cos) Old Aunt(opposite/adjacent=tan) is better that 'soh cah toa';
    Your videos are amazing and are very interesting than our regular classrooms

    • @RayaanFaisal
      @RayaanFaisal 7 лет назад

      Random Master soh cah toa is better

  • @bearjew101
    @bearjew101 11 лет назад

    Thanks for the help.

  • @bunnyprince1287
    @bunnyprince1287 9 лет назад

    Thanks for the video. ...

  • @celticwelsh
    @celticwelsh 13 лет назад

    I don't understand why you kept the square root sign and didn't solve it to get a smaller number. Are you not suppose to do that? Or is it just a preference thing?

  • @anjyychakraborty6484
    @anjyychakraborty6484 11 лет назад

    I have got this question for homework and i have no clue how to work it out.Help please :(
    The great pyramid of Giza is 146m high.Two people A and B are looking at the top of the pyramid.The angle of elevation of the top of the pyramid from B is 12degrees. The distance between A and B us 25m,If A abd B are 1.8m tall calculate:
    a)the distance from B to the centre of the base of pyramid.
    b)the angle of elavation of the top of pyramid from A
    C)the distance between A and the top of pyramid

  • @theturts9626
    @theturts9626 8 лет назад

    I have to retake the trig regents tomorrow
    Thank god I have this playlist

  • @shubhramishra8698
    @shubhramishra8698 8 лет назад

    10:30 It says sin is opposite over adjacent even though it is opposite over hypotenuse. (301st comment)

  • @GuitarHeroPhenomSux
    @GuitarHeroPhenomSux 10 лет назад

    For the square root of 65 one, could you just raise the top and bottom by the second power to get rid of the square root? If so, you'd end up with 4 over 65.

    • @thecoolmaster6960
      @thecoolmaster6960 10 лет назад +2

      no because then you would end up with 16 over which does not equal 4 over the square root of 65