The Law of Cosines

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  • čas přidán 4. 02. 2018
  • The law of sines helped us solve for all the sides and angles in SAA, ASA, and SSA triangles, but now we have to learn the law of cosines if we want to solve for SAS and SSS triangles. This one is kind of like the pythagorean theorem, just for oblique triangles instead of right triangles, so it has trig functions in it. Let's check it out!
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Komentáře • 96

  • @Clarice679
    @Clarice679 Před 6 měsíci +24

    tysm! i fell asleep in class and this was our lesson for today. super helpful.

    • @Jbnfmshhwbbe1
      @Jbnfmshhwbbe1 Před měsícem

      Maybe sleep outside of class?

    • @Mousethebidoof
      @Mousethebidoof Před měsícem +3

      @@Jbnfmshhwbbe1 wow cool idea, definitely worth trying, I generally sleep in class and study outside

  • @dartheater7348
    @dartheater7348 Před 2 lety +156

    I'm currently failing a test on this

  • @divyasharma8372
    @divyasharma8372 Před 6 lety +20

    Great explanation

  • @loriecannon8493
    @loriecannon8493 Před 4 lety +61

    I love the intro

    • @mark760
      @mark760 Před 3 lety +1

      Same

    • @JimJesterMayuyo
      @JimJesterMayuyo Před 3 lety

      Same hahaha

    • @kristopheralexis9911
      @kristopheralexis9911 Před 2 lety +1

      You prolly dont give a shit but does anybody know of a way to log back into an instagram account..?
      I was stupid forgot my login password. I would appreciate any help you can offer me!

    • @jamaristetson1238
      @jamaristetson1238 Před 2 lety

      @Kristopher Alexis instablaster =)

    • @blueberrypi4196
      @blueberrypi4196 Před 2 lety

      @@kristopheralexis9911 press forgot password and enter email and check your email app and make sure to *refresh it* and then verify, then you can follow the instructions

  • @editsblazing
    @editsblazing Před 5 měsíci +2

    Thank you, Professor. Dave!

  • @edsonwinnerify
    @edsonwinnerify Před 2 lety +1

    Got subscribed! Great explanation.

  • @JM-xz4ur
    @JM-xz4ur Před 2 lety +4

    oh my god you literally saved me thank u sm!!!

  • @habibaelhadad1000
    @habibaelhadad1000 Před 3 lety +23

    i like your smart way of teaching professor dave

  • @manuellakasiama6993
    @manuellakasiama6993 Před 3 lety +10

    so if I get it right when the answer is a negative you turn it to positive like in the example where cosC =-0.157 you did cos^-1(-0157) then got a positive 99.0 and that was the final answer. am I right ?

  • @truthbetold89
    @truthbetold89 Před 3 lety +1

    Thank you sir

  • @sw4gc0r36
    @sw4gc0r36 Před 2 měsíci

    you helped me so much!!!

  • @fsmgaming936
    @fsmgaming936 Před rokem

    thank you!

  • @phosphorus3380
    @phosphorus3380 Před 3 lety

    Thanks a lot

  • @manuellakasiama6993
    @manuellakasiama6993 Před 3 lety +2

    may I know how you got cos C = -0.157

  • @stevkohudran
    @stevkohudran Před 2 lety +26

    In the comprehension i got 77.673 as cosA while you got 75. I used the cos rule and used the sides to calculate A. How did you do it to get 75? Thanks in advance.

    • @scxrpion3828
      @scxrpion3828 Před rokem +5

      Long advance

    • @av3rymac730
      @av3rymac730 Před rokem +3

      I got the same answer. All of my answers were different than his. I have no idea why.

    • @shanveesood8704
      @shanveesood8704 Před rokem +4

      Maybe your calculators were in radian mode? Or degree mode?

    • @manacchiie8323
      @manacchiie8323 Před 11 měsíci

      My answers were also not the same at first. My answers were 1 point something degree shorter than his but when I try using 4 decimal places, its now similar to professor dave's like in c = 13, I used 13.4164. However, when it is for the final answers, I rounded it off to get a whole number like B = 37.6328 -> 38

  • @NJ-co6qs
    @NJ-co6qs Před 6 lety +4

    nice video and good graphics
    how do you edit these videos 👍👌

  • @manuellakasiama6993
    @manuellakasiama6993 Před 3 lety +7

    I see you've only used 2 of the formulas so how to solve with b^2=a^2+c^2-2ac cos B?

  • @bravo3541
    @bravo3541 Před rokem +3

    At 2:49 you say "just divide". Where does division come from? Thanks. very helpful.

    • @charlie_0757
      @charlie_0757 Před rokem +1

      When we move 2ab to the other side, it goes from multiplication to division.

    • @0xAldehyde
      @0xAldehyde Před rokem

      This is transposing method .

  • @habibaelhadad1000
    @habibaelhadad1000 Před 3 lety

    thanq

  • @potatomudkip
    @potatomudkip Před 3 lety +1

    done with trig after 2 weeks, yey

  • @manuellakasiama6993
    @manuellakasiama6993 Před 3 lety +4

    how did you get a= 7.92

    • @sebastianszekely3400
      @sebastianszekely3400 Před 2 lety +4

      this is because the equation has a^2 in it. So when you find the answer which was 62.7, you have to square root it because in the original equation it was A^2 = b^2 +c^2-2bc (cosA). So A^2 = 62.7, and A = sqrt 62.7 or around 7.92

  • @cometolearn8598
    @cometolearn8598 Před 3 lety +1

    How To Add, Sub , Divide And Multiple Degree With Out Calculator

  • @hockeyfan2115
    @hockeyfan2115 Před 2 lety

    Why did you just show how to do cosine law and didn’t show how to do sine law in the first question can’t really get anywhere if I can’t figure out to to do the sine law in that specific question

  • @sumasree7101
    @sumasree7101 Před 6 lety +6

    Plss.. upload videos of physics...

    • @1hoursongs50
      @1hoursongs50 Před 6 lety +1

      Yeah

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  Před 6 lety +7

      dudes i did two entire physics series, classical physics and modern physics!

    • @bryanlim7355
      @bryanlim7355 Před 6 lety +2

      Professor Dave Explains he means do videos on Electrical or mechanical engineering courses!

  • @FredrikSvensson1979
    @FredrikSvensson1979 Před 2 lety

    You bear a slight resemblance to 66Samus, the death metal drummer. Emphasis on slight.

  • @palakmotivation6695
    @palakmotivation6695 Před rokem

    I'm from India....but I study from this video 🤩🤩

  • @Jxfak
    @Jxfak Před rokem

    thank you papi

  • @airhead1430
    @airhead1430 Před 6 lety +6

    Sometimes I don’t know the difference between sine and tangent

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  Před 6 lety +4

      go back to the earlier trigonometry tutorials for review!

    • @bryanlim7355
      @bryanlim7355 Před 6 lety +2

      Professor Dave Explains what was your field of study in university? What course did you study last time? What type of student are you?

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  Před 6 lety +6

      i studied chemistry in undergrad, now i'm wrapping up a masters in science education

    • @bryanlim7355
      @bryanlim7355 Před 6 lety +3

      Professor Dave Explains what types of science? Is it on biotechnology, water & environment? If so make a video on wastewater treatment plants, or nitrogen cycle

    • @kunasagaran5933
      @kunasagaran5933 Před 5 lety +2

      Ur explanation is excellent. When u speak the words are also printed below in a box which obstructs the view of the formula. Perhaps u should use a different method of not having the screened box.

  • @abiasiddiqui9428
    @abiasiddiqui9428 Před 3 lety

    Plz upload a video about sine and cosine of obtuse angles

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  Před 3 lety

      watch my whole trigonometry playlist it's all in there

    • @abiasiddiqui9428
      @abiasiddiqui9428 Před 3 lety

      @@ProfessorDaveExplains sadly can't find:-(

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  Před 3 lety

      home page, scroll down to mathematics section, scroll right for trigonometry

    • @abiasiddiqui9428
      @abiasiddiqui9428 Před 3 lety

      @@ProfessorDaveExplains prof could u kindly just tell me the vid name or any hint I'll be grateful

    • @aveinmovil
      @aveinmovil Před 2 lety

      czcams.com/video/cqIZue-plBI/video.html
      You can go from here, a hint maybe helps you is that and obtuse angle would be on second quadrant

  • @Belmont1714
    @Belmont1714 Před 3 měsíci

    If you guys are wondering, c is 13.4, Not 13.

    • @maknify4538
      @maknify4538 Před 3 měsíci

      rounded off.

    • @Belmont1714
      @Belmont1714 Před 3 měsíci

      ​@@maknify4538If you use the rounded off one -13- A will be 86.75°. If you use 13.4, A will be 75°, which is the correct answer.

  • @nikolaivii5766
    @nikolaivii5766 Před 4 lety +1

    While doing the example (starts around 2m30s), it sounds like you recorded it using a different angle name, then dubbed over "C" in relevant places, and maybe cut a few bits off the original explanation. Am I right?

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  Před 4 lety

      haha yep i think so, there must have been errors in the script that i had to correct in post

  • @JaylahBedford-nm7kj
    @JaylahBedford-nm7kj Před rokem

    1:39 how did you get 7.92?

    • @Belmont1714
      @Belmont1714 Před 3 měsíci

      You take the square root of 62.7. I know it's late, but still hope this helps.

  • @estebanadrianeb.7469
    @estebanadrianeb.7469 Před 3 lety +4

    how did the value of a became 7.92? can you please answer i'm not good at math thank you :)

  • @josephmalone253
    @josephmalone253 Před 3 lety

    I get that for SSS solving the angle C first avoids ambiguity but what I don't get is why side c is on the bottom. Why is side c on the bottom? Is there a reason or just arbitrary? I want to put side b on the bottom. How does side c on the bottom help us? If it doesn't I am putting side b on the bottom unless someone smarter than me can justify this orientation. If you don't know why side c is on the bottom it is okay I just don't get it. I mean you swapped angle B and angle C and it doesn't seem instantly familiar. Is the longest side always on the bottom?

    • @hunkymunky1704
      @hunkymunky1704 Před rokem

      The side corresponding to the angle is always opposite to the angle. I guess it could be considered arbitrary, but it is much easier working with this orientation than others. Designating the opposite side of an angle as correspondent is clearer than using one of the two adjacent sides.

  • @aikama9650
    @aikama9650 Před měsícem

    I have a test on this in 15 mins

  • @mochigyu3755
    @mochigyu3755 Před 3 lety

    /2 (4.8) (6.3) howw can someone tell mee sorry i can't I'm not good at mathh

  • @rresist1288
    @rresist1288 Před 10 měsíci +1

    so that's it now i'm a man !!!!

  • @sunitaraniggpsbhangu1482
    @sunitaraniggpsbhangu1482 Před 6 lety +5

    Proof to kia koni

  • @PearlHarbor1941
    @PearlHarbor1941 Před 3 lety +2

    when your from school

  • @Hoshi_Takemata
    @Hoshi_Takemata Před rokem +1

    Goodbye grade 😂