Maths Tutorial: Trigonometry Law of Sines / Sine Rule

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  • Опубліковано 14 чер 2024
  • Maths Tutorials, Geometry and Trigonometry. The Law of Sines (also known as the Sine Rule) is a method for working out the angle or side length in a non right angled triangle.
    For more tutorials, visit www.vcefurthermaths.com
    Song: "Mining by Moonlight" by Kevin MacLeod (incompetech.com). Used under creative commons.

КОМЕНТАРІ • 1,1 тис.

  • @MrArianmas
    @MrArianmas 9 років тому +1192

    Oh my god you explained this so much better than my teacher,you are a blessing.

    • @MrArianmas
      @MrArianmas 8 років тому +3

      ***** to age kir dashti poshte keyboard zer nemizadi googooli

    • @Atom-mk6cc
      @Atom-mk6cc 6 років тому +9

      Yessss same it’s a lot clearer to me however when I do my calculations she wants me to put it in Degrees and minutes which is no prob. THANK YOU SO MUCH

    • @leo-akisiafa9327
      @leo-akisiafa9327 4 роки тому +3

      HaHaHaHaHaHaHaHa!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...
      yes she is a blessing and thank god for that.
      But not all teachers are bad at explaining!

    • @charle3679
      @charle3679 3 роки тому

      You have no idea how bad mine is

    • @user-jq3qt8no7h
      @user-jq3qt8no7h 3 роки тому

      Will u reply

  • @tomlinzombie
    @tomlinzombie 8 років тому +1530

    After watching this i realized that my school should fire our math teachers. Buy a faster speed of internet and new computers so we can learn from you.

  • @Lisa-rg8uq
    @Lisa-rg8uq 3 місяці тому +58

    guys if ur confused when to put sin on top or bottom, when you're looking for an angle sin is on top, when your looking for a side sin is on bottom of the fraction. Hope this helps

  • @fuller7919
    @fuller7919 3 роки тому +430

    watching this 8 years later and it's probably saving my life

  • @MrSkyaka
    @MrSkyaka 8 років тому +793

    THE LOR OF SINES

    • @SkeleCrafteronYT
      @SkeleCrafteronYT 7 років тому +26

      Oh shut your yap

    • @MarcusAseth
      @MarcusAseth 7 років тому +47

      the lore of sine? I want to hear more about this lore :)

    • @spoooook
      @spoooook 6 років тому +2

      MrSkyaka deadddd 💀💀💀

    • @juanitabalanza2297
      @juanitabalanza2297 5 років тому +3

      I was preparing my salmon for cooking and thats what I heard but in my head it was law . Lol

    • @log6n
      @log6n 4 роки тому +12

      @MA Granin lol she's very clearly australian

  • @arsenewenger9351
    @arsenewenger9351 9 років тому +270

    CAN'T BELIEVE YOU STOPPED MAKING VIDEOS. YOU WERE THE BEST MATHS TUTOR ON UA-cam.

    • @iukey
      @iukey 4 роки тому +1

      yup

    • @dannyx1024
      @dannyx1024 4 роки тому +1

      Julio profe is better

    • @pianolessonswithbless879
      @pianolessonswithbless879 2 роки тому +5

      I think maybe she's dead

    • @DesignationN78
      @DesignationN78 2 роки тому +7

      I hate when someone takes a break from UA-cam and thinks the person is dead, she isn't dead.

    • @wintersongxx
      @wintersongxx 2 роки тому +6

      @@pianolessonswithbless879 no because they liked a comment which was a year ago so they're still active

  • @pechannnnnn
    @pechannnnnn 10 років тому +536

    You taught, in 10 minutes, what my teacher attempted to in an hour and 10 minutes.

    • @vlr11191997
      @vlr11191997 10 років тому +30

      My teacher explained it to is for like a minute and a half. And then wouldn't help us with it afterward. This lady actually cares about teaching.

    • @JonathanMcConico
      @JonathanMcConico 5 років тому +1

      Right!

    • @revlocked8675
      @revlocked8675 4 роки тому

      I still don't get it, until I watched this video lmao

    • @thisisit595
      @thisisit595 4 роки тому

      Correct yourself. It was an entire unit

    • @aestheticvibes5798
      @aestheticvibes5798 4 роки тому

      pechannnnnn samee

  • @ScottTurnerformeindustrious
    @ScottTurnerformeindustrious 4 роки тому +405

    I am so grateful for your simple and effective tutorial on the Law of Sines. Great work, Thankyou!

  • @borislavignatov5499
    @borislavignatov5499 8 років тому +276

    This short video helped me understand trigonometry more than months of school

  • @further_maths
    @further_maths  11 років тому +126

    Glad I could help you out! Good on you for taking it upon yourself to catch up and hitting youtube for what you needed. I wish all students showed that kind of initiative. You're going to be a superstar :)

    • @abdullahiftikhar6599
      @abdullahiftikhar6599 7 місяців тому +5

      Hey, I don't know if you'll ever see this but its literally 1 am the night before my test all the way in Pakistan lol and your video really helped me grasp the basic concept on this. Wish you did a cosine rule as well because you're really good at explaining. Anyways, have a good day!

    • @velaphikhoza6544
      @velaphikhoza6544 3 місяці тому +1

      I'm here after 11years and this has really helped me!

  • @SarahHugzBuddy
    @SarahHugzBuddy 8 років тому +210

    your explanation is so much simpler compared to whatever the hell my geometry teacher taught me

    • @riley96
      @riley96 8 років тому +12

      Same holy shit my teacher made no sense and was going 100 miles a minute

    • @mirabellehayati5582
      @mirabellehayati5582 7 років тому +2

      Yes! CDLI is soooo annoying. I don't learn anything, I always have to go to youtube

    • @aryanchaubey6374
      @aryanchaubey6374 7 років тому +3

      It should have been your trigonometry teacher.

    • @fishsauce617
      @fishsauce617 7 років тому +5

      Aryan Chaubey Nope. In our Geometry class we worked on this sort of stuff in February. In the book and everything

    • @lilyscott9902
      @lilyscott9902 4 роки тому

      Aryan Chaubey they introduce it in geometry

  • @LUCIFER..........87
    @LUCIFER..........87 2 місяці тому +12

    Watching 11 years later and tomorrow is my math exam

  • @alearias3395
    @alearias3395 8 років тому +83

    You taught it better in 10 minutes than my teacher could in an hour, thanks!

  • @further_maths
    @further_maths  11 років тому +34

    Haha nope! Just really busy unfortunately. I made the bulk of these videos when I was working part time cos I was studying. These days I have a full time job and a lot of other commitments, so finding a spare 10 hours to make one video is tricky! I'll try and post some more down the line though. Glad you like them :)

    • @ImModernTrading
      @ImModernTrading 4 роки тому +5

      I appreciate what you done here. Good luck with your endeavors.

  • @joegrey5322
    @joegrey5322 8 років тому +111

    Thank you this should help me with my exam tomorrow

  • @elkowasaki
    @elkowasaki 6 днів тому +1

    11 years later, the vid is still relevant and helpful. Thank you so much :)

  • @misslarbey421
    @misslarbey421 10 місяців тому +5

    As a primary school teacher relearning GCSE content to teach GCSE - this video was very clear and very useful! Wish there was one on the cosine rule too!

  • @ididntventiswear842
    @ididntventiswear842 3 роки тому +6

    the dislikes are from math teachers

  • @Eren92812
    @Eren92812 6 років тому +1

    no joke, one of the best math videos ive ever seen, makes things soooooooooooooooooooooooooooooooooooooooooooooo much easier, literally saved me 3 hours

  • @sniffmatip3865
    @sniffmatip3865 4 роки тому +2

    So glad for this, forgot half this stuff after leaving school. I've been sent back to college from my employer and your chanel has helped me so much brush up on a lot of mathematics.

  • @MrHarleySoliman
    @MrHarleySoliman 10 років тому +20

    This video actually teaches better than my teacher.

  • @further_maths
    @further_maths  9 років тому +70

    @Lorenz Panes Yeah sorry about that! It's cos I went and got a full time grown up job and ran out of time. Still hoping to find some time to make more of these one day soon, but it never seems to work out that way.

    • @donuelpaclibar2344
      @donuelpaclibar2344 8 років тому +13

      +vcefurthermaths Thank you so much! Omg never knew somoene explained Trigonometry much more clearer than you. THANK YOU!

    • @dedemarshall9132
      @dedemarshall9132 8 років тому

      ohhhh . hi . thank you for breaking down this example for me, I really didn't understand how my professor was teaching but u helped me. thank you

  • @user-dv7uc1yn4q
    @user-dv7uc1yn4q Рік тому +1

    I feel like teachers nowadays give us too much unnecessary information without explaining them. Halfway through and I'm understanding this way better. Good vid.

  • @MrJamhamm
    @MrJamhamm 9 років тому +2

    Oh my God this is the best and easiest explanation of this on UA-cam. THANK YOU

  • @NO-tw1lf
    @NO-tw1lf 5 років тому +6

    You just saved me from failing a math test that I knew basically nothing about. You’re a lifesaver

  • @qtestchariotchariotkb3223
    @qtestchariotchariotkb3223 6 років тому +6

    It's my exam tomorrow and this video really taught me more than my math teacher could. i mean he's smart and all but he's really giving me a hard time

  • @saddestjas
    @saddestjas 5 років тому +1

    I know this is just the 600th comment but thank you! The accent also helps me because it's so calming and I can't wait to walk into class tomorrow to retake and ace a quiz that I absolutely failed today

    • @ritammukherjee3272
      @ritammukherjee3272 5 років тому +1

      Why did she stop making videos :/ I agree with ur comment, her accent and way of teaching was so perfect..

  • @Musiclovergirl1232
    @Musiclovergirl1232 7 років тому

    my teacher thought us this for a three hours in total and he didn't made sense. Thanks for the lifesaver!

  • @BobMcCoy
    @BobMcCoy 6 років тому +28

    *TODAY I WILL BE TEACHING YOU **_SINE LOR_*

  • @vaneezaraja8264
    @vaneezaraja8264 9 років тому +75

    Are all Australians good at maths or something? What's in your "wata"

    • @jacobh1995
      @jacobh1995 9 років тому +8

      I know, they're just lying about their prime minister being an idiot to keep Americans and others away.

    • @mirakhiralla2507
      @mirakhiralla2507 9 років тому +18

      Jacob H Hey that's not true. Don't just say that -.-, I am an aussie and a lot of time people aren't proud of our pm.

    • @whyareyoureadingmynameyouf4639
      @whyareyoureadingmynameyouf4639 7 років тому +2

      Mc Lovin' Malcom turdshit!

    • @semnoz9502
      @semnoz9502 3 роки тому

      @@whyareyoureadingmynameyouf4639 LMAO YOUR NAMEEEEEEEEEEE

  • @cwit3215
    @cwit3215 9 років тому

    Using a right angle to determine which equation would solve my unknown is a time saver i hadn't thought of.

  • @Jacob-rz4uz
    @Jacob-rz4uz 4 роки тому +1

    My teacher never taught me that third scenario. She put it on the exam anyway. Thanks, much love.

  • @terencebrown6799
    @terencebrown6799 10 років тому +35

    All though you give a good explanation in the beginning, you don't explain how you get x=5.76 very well. I believe if you breakdown that piece of the puzzle, then some of it will become clear.

    • @BobMarley-vl5gl
      @BobMarley-vl5gl 5 років тому +2

      terence brown although I’m 5 years late inverse sine is when it changes to the other side of the equal sign

  • @AnimatorJackie
    @AnimatorJackie 8 років тому +7

    Thank you for making this clean and simple! I really appreciate it! Great work!

  • @BalaAnga
    @BalaAnga 4 місяці тому

    This whole process took my teacher 45 minutes to teach us... you compressed that into a 10 minute UA-cam video and I learnt more from you than my teacher.

  • @Cookedfrfr_
    @Cookedfrfr_ 23 дні тому

    11 years later and your still saving me

  • @CazzaCanola
    @CazzaCanola 9 років тому +6

    Trigonometry has always been my fault in maths, you just changed that. You are so much better at explaining it. THANK YOU!!!

  • @pataponman280
    @pataponman280 9 років тому +6

    THANK YOU, they didnt really teach me this in school for some reason. and this year apperantly we were supposed to know it! You are a life saver! :D

  • @Eror404-cz7cg
    @Eror404-cz7cg 2 дні тому

    11 years later and this is helping me for my end of year exam tommorow.

  • @renzocresci6037
    @renzocresci6037 7 років тому +1

    Thank you so much , I didn't understand nothing about the chapter until I saw your videos 👌🏽 , You have a new subscriber right here

  • @seyamnida6784
    @seyamnida6784 7 років тому +8

    GOD BLESS THIS WOMAN!!!!!!

  • @nighttangle8519
    @nighttangle8519 8 років тому +4

    Excellent video! I went from having no idea how to do this to knowing it very well. You taught me in 10 min what my teacher could not in 2 days. Thank you so much!

  • @gxd-df5qg
    @gxd-df5qg 5 років тому +1

    This 10-minute video taught me what my teacher couldn't in two hours

  • @laurenc8647
    @laurenc8647 8 років тому +2

    THIS WAS SO HELPFUL. Thank you!

  • @JanClydeMacaraegJantheMan
    @JanClydeMacaraegJantheMan 9 років тому +3

    Came here to refresh my knowledge. Watched it, I understood everything, had no problems following and it came easy through my head. Nice job!

  • @TheElectrozoid
    @TheElectrozoid 10 років тому +32

    the lore of signs!

  • @Vancleef_
    @Vancleef_ 5 років тому

    Thank you so much i have a test tomorrow and it feels so good to finally understand what hes been talking about all week

  • @sakinahusain8121
    @sakinahusain8121 3 роки тому

    I’m genuinely grateful for this video- THANKS!

  • @tomato25
    @tomato25 5 років тому +3

    Thanks that's so helpful for the longtest tomorrow

  • @tjeastcoast1556
    @tjeastcoast1556 9 років тому +8

    Thanks for the help, and love the accent.

  • @further_maths
    @further_maths  11 років тому

    Glad your found it useful! Thanks for commenting :)

  • @further_maths
    @further_maths  11 років тому +1

    You're soooooo welcome! Glad you liked it :)

  • @JecePlays
    @JecePlays 9 років тому +3

    Hi my name is JC and I'm from the philippines and this has helped me with my periodical test tomorrow on march 9 I'd like to say that you taught me better than what my teacher did I learned everything I needed in this video alone thank you so much ^_^

  • @Ray-ye8gz
    @Ray-ye8gz 7 років тому +6

    wow.... what a great explanation! Understood it soo easily! Thanks! I hope to see more of your easy and understandable videos! :))

  • @muhammadayaanubaid6865
    @muhammadayaanubaid6865 3 роки тому +2

    This makes math so easy

  • @lina.lecompte
    @lina.lecompte 11 років тому

    This was SO helpful. Like seriously.... why dont schools hire people like you.

  • @celticbhoy4588
    @celticbhoy4588 9 років тому +3

    on the first equation that ends around 4:49, i keep getting the answer -6.26....
    i dont have the fraction button so i am dividing, anyone know how to fix this?

    • @HDCalcs
      @HDCalcs 5 років тому +1

      In case anyone else is having this problem:
      It looks like your calculator is set to Radians (does it say RAD at the top of the screen?). Since this equation is using degrees you need to make sure your calculator is set to degrees (DEG). Good luck!

    • @ragbabymilo8118
      @ragbabymilo8118 4 роки тому

      @@HDCalcs omg THANK YOU i been tryna firgure what was wrong w my answers

  • @pinpointnoobworld
    @pinpointnoobworld 10 років тому +12

    My teacher is dumb and have a test tomorrow this is helping me very much thanks a ton. Btw the way you do your X's are weird but make them look sick

    • @mse5842
      @mse5842 6 років тому +2

      I'm pretty sure everyone uses swirly X
      I didnt know why until I saw
      2×x×3 or sumthing like that
      :P

    • @pravarsinghdadhwal6308
      @pravarsinghdadhwal6308 4 роки тому

      @@mse5842 ye everyone uses curly x

  • @jeffreychavey4161
    @jeffreychavey4161 5 років тому

    I'm learning this just for fun now ... the teachers I had in school were smart (I guess) but clueless as to how to explain these concepts to another person. Thanks

  • @sahimpatwegar3777
    @sahimpatwegar3777 2 роки тому +1

    Watching this video after 9 years but...
    It really helped

  • @jacob.9664
    @jacob.9664 Рік тому +3

    Video came out almost 10 years ago and its still helping people. Thank you!

  • @TheShahraiz1234
    @TheShahraiz1234 8 років тому +6

    So many Australians! OMG I swear every maths video I've watched has been done by an Aussie.

  • @Sam-zq4yx
    @Sam-zq4yx 6 років тому

    Gotta GCSE tomorrow, may have just saved me. Thanks a lot!

  • @naimax8205
    @naimax8205 Рік тому

    you dknt understand how happy i am we have been on this topic since november its now january and i finally get it i am beaming with joy

  • @fj5162
    @fj5162 5 років тому +5

    This literally taught me how to do the sine law in 10 mins, something my math teacher couldnt do in months

  • @duck730
    @duck730 6 років тому +14

    Watched this during the test

  • @loujaynaelaste1409
    @loujaynaelaste1409 15 днів тому

    idk if it’s cuz you’re australian, but your math made so much sense and you made it 10x easier!!

  • @jessicazimmerman4975
    @jessicazimmerman4975 8 років тому

    thank you so much i was lost until i found your video. You make it so easy.

  • @Annequills
    @Annequills 7 років тому +3

    Did you do this on Powerpoint with a tablet mouse? Love your graphics

  • @viniciuscaetano6358
    @viniciuscaetano6358 9 років тому +4

    I put 9/sin30xsin94= 28.2 why?

    • @stoliez
      @stoliez 8 років тому

      +vinicius caetano might be the way u punched in the numbers

  • @further_maths
    @further_maths  10 років тому

    I'm glad you found it helpful. Thanks for watching :)

  • @ramanslife
    @ramanslife 4 роки тому +1

    this helped me so much, i didnt understand my homework at all but you saved me!! thank you

  • @SharkRockstar
    @SharkRockstar 6 років тому +4

    I love maths, because of you. Alhamdullilah..

  • @RawStreak
    @RawStreak 3 роки тому +3

    8 years later still learned it perfectly in 10 mins ty

  • @ALARIO-uf6wp
    @ALARIO-uf6wp 17 днів тому

    Watching this eleven years later for my math exam tomorrow. I don't know how to thank you

  • @jamesatkinson4702
    @jamesatkinson4702 9 років тому

    Learnt this this morning for my maths GCSE and It came up! Thank you

  • @Julian-Loves-Cats
    @Julian-Loves-Cats 2 роки тому +3

    Thank you so much, for whatever reason I as a junior still can’t retain information easily, however this video really helped! Thank you very much!! 💟

  • @LariosGiveNoFucks
    @LariosGiveNoFucks 8 років тому +4

    It's such a shame that I ended up with a C in trig. One of my problems in that class was that I did not really understand my professor due to her accent and the way she would over-complicate explanations of certain concepts. I was also kind of intimidated to ask questions during class because I felt like others didn't have the same problem. Fortunately, I'm in precalc and so far I've aced my exams and quizzes by doing my own research outside of class and my textbook. Thank you for this easy and sensible explanation!

  • @dougsherrington1252
    @dougsherrington1252 4 роки тому

    Much easier to understand than many of the other videos I have watched

  • @spottedwillowwh8725
    @spottedwillowwh8725 5 років тому

    This taught me better than my math teacher, thank you

  • @further_maths
    @further_maths  11 років тому +11

    You're doing sin95/sin10. There is no "sin" before the 10. It's just sin95/10
    Hope that helps! :)

  • @speedbase5483
    @speedbase5483 2 роки тому +3

    Please upload :)

  • @further_maths
    @further_maths  11 років тому

    thanks for commenting! I'm glad you found it helpful :)

  • @jzwicewi
    @jzwicewi 10 років тому

    Excellent instructional video.
    Really helped me remember the concept I learned 10 years ago but have now forgetten.

  • @mrstuartcampbell
    @mrstuartcampbell 11 років тому +3

    Hi there. I really like this video (and your others for that matter). I am a maths teacher in the uk and would like to make some short revision videos for my students along similar lines. I was wondering... what software are you using to record/edit your videos? And are you using a tablet to draw on? Many thanks! Stu

  • @BrainGainzOfficial
    @BrainGainzOfficial 5 років тому +5

    0:05 "The Law of Sines can only be used for non-right angles triangles"
    This is not true. It's almost always easier to use pythagorean theorem and trig functions to solve right triangles, but the Law of Sines still works...

  • @PodcastCentral333
    @PodcastCentral333 5 років тому +1

    Hard to express how fucking good this explanation is

  • @asphyviaa8090
    @asphyviaa8090 4 роки тому

    Legit I was struggling on this in my foundations 20 class for 3 days and this explained it so much better than my math teacher did ngl

  • @nofawkesgiven415
    @nofawkesgiven415 7 років тому +6

    Learning Off UA-cam Because The Education System At School Is Broken. #BrokenEducationSystem

  • @nicholaschan7153
    @nicholaschan7153 4 роки тому +3

    lmaooooooooooooo am i the only one that realized the method is wrong
    its supposed to be 10 x sin35 / sin95
    NOT 10 / sin35 x sin95

  • @b0uqu3tder0s3
    @b0uqu3tder0s3 Рік тому

    Watching this the morning before my test. Understanding it better

  • @NickEnchev
    @NickEnchev 2 роки тому +2

    Amazing video, only comment I want to make is that the angle I calculated around 8:50 in the first part was an odd choice given the visual representation. I thought I did something wrong when I worked it out before you, visually it does not look like a 94 deg angle, rather it looks less than 90 deg.

  • @paulkouri7786
    @paulkouri7786 7 років тому +5

    I wish my teacher was this gentle, mine talks so fucking fast Costansinhypadjacentoppositecscseccot, okay guys?

  • @brownman9547
    @brownman9547 10 років тому +3

    LAWr???

  • @tahvoyswaby5906
    @tahvoyswaby5906 5 місяців тому

    11 years later and you are saving me

  • @monsterjesse
    @monsterjesse 6 років тому

    boy u are wonderful explaining this so comprehensively.

  • @TheRealJohnGarv
    @TheRealJohnGarv 10 років тому +25

    i would kiss you but thatd be impossible and weird

  • @zylexity
    @zylexity 10 років тому

    It blows me away to see how crappy my school system is when it took me over a week to barely understand this, and I watch this 10 minute video and I'm now a master ;)

  • @grumpygato99
    @grumpygato99 3 роки тому

    Thanks. I literally have never worked with sin before and its gonna be on the test im taking tomorrow. 8 hours away actually, I should get to sleep soon. Thank you for your help stranger on the internet!

  • @adnanalam2006
    @adnanalam2006 4 роки тому

    Was stuck with problems. This video helped the heck outta me.