Limits of Trigonometric Functions

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  • @TheOrganicChemistryTutor

    Final Exams and Video Playlists: www.video-tutor.net/
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    • @MikeChipili
      @MikeChipili Před 2 měsíci

      😮

    • @mathias_dangi_265
      @mathias_dangi_265 Před měsícem +1

      Are you able to prove that (3w/sin3w)=1, because the only thing I could remember in my calculus class is to prove that (sinx/x)=1.
      Or do you take a resprocal of it?

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  • @mya4855
    @mya4855 Před 4 lety +2671

    when you said "make sure your calculator is in radian mode by the way", the world made sense once again.

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      @venutiansplane3022 Před 3 lety +160

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    • @wm396
      @wm396 Před 3 lety +5

      How do you do that

    • @mya4855
      @mya4855 Před 3 lety +7

      @@wm396 depends what calculator you have?

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      @sevirouskemerut975 Před 3 lety +18

      ur comment is a life saver

    • @wenwen8237
      @wenwen8237 Před 3 lety +6

      can anyone answer me why it should be radian mode btw

  • @jemilieredito2498
    @jemilieredito2498 Před 2 lety +648

    (sin x) (x) = x sin x
    (sin x) (sin x) = sin^2 x
    So it should be limit of sinx/x as x approaches 0 times limit of sin x as x approaches 0. Though the answer is still 0, there’s a problem in the process. Thanks.

    • @peorannoane2873
      @peorannoane2873 Před 2 lety +1

      Thought i was the only one. (^^)

    • @kanzhilillay
      @kanzhilillay Před 2 lety +105

      I was literally looking for this comment

    • @Bromosomo
      @Bromosomo Před 2 lety +16

      preach

    • @DEYIINTEL
      @DEYIINTEL Před rokem +15

      I thought I'd be the first to correct this but here it is

    • @FlowinZen
      @FlowinZen Před rokem +3

      This correction is for what time in the video?

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  • @junealeinalgarne6943
    @junealeinalgarne6943 Před 3 lety +26

    oh my god, thank you so much for mentioning that the calcu should be in radian mode. I've been crying over my wrong answers for weeks, this is my 3rd breakdown this week and I can finally answer my long overdue assignment, thank u so much, may you be blessed for the rest of your life and the next.

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    @nerijoyceobedoza Před 3 měsíci +10

    We don't even allowed to use a calculator😭. They required us to solve it manually

  • @husseinalhadi5471
    @husseinalhadi5471 Před 6 lety +390

    Excellent video at 13:43 mark shouldn't Sin ^2 = sin (x) X Sin (x) not sin (x) X x

    • @agent-if9jb
      @agent-if9jb Před 6 lety +27

      agreed.

    • @marknzuri9119
      @marknzuri9119 Před 6 lety +14

      Yeah I thought so too!

    • @aliu760
      @aliu760 Před 5 lety +7

      yeah I saw that mistake

    • @benjaminm3180
      @benjaminm3180 Před 5 lety +7

      Since sin(x) using the unit circle equates to zero, and x is approaching zero (so you plug in zero), either way you write it will be multiplying by zero. I’ll admit I had to pause the video to think about it for a minute to completely understand what he meant but the way he wrote it is still technically viable.

    • @silas_mwanikitv
      @silas_mwanikitv Před 5 lety

      Yeah! Sure

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    @okay2992 Před 4 lety +6

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    @viniciush.6540 Před 3 lety +1

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  • @ninjanigabiyown4253
    @ninjanigabiyown4253 Před 2 lety +35

    The problem where there is sin²x
    It should be (sinx)(sinx) instead of (sinx)(x).

    • @evansraila5519
      @evansraila5519 Před rokem

      It'll still be the same i think...

    • @Bbqeee
      @Bbqeee Před rokem +1

      ​@@evansraila5519 yes bc (sinx/x) will be 1
      And as x→0 (sinx) will be 0
      So 1*0 will be 0

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    @aminamozumder8537 Před 6 lety +14

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    @bennyteferra7834 Před 5 lety +4

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  • @ianruiz6350
    @ianruiz6350 Před 2 lety +7

    I'm just here scrolling down through comments seeing everybody somehow understanding even though he never explained the why of things. 3:14 how did he know that he had to multiply by 5?
    5:39 how did he know he had to multiply top and bottom by 2?
    7:33 how did he know he had to do THAT?
    I just don't see a pattern at all. It feels like he's explaining how to do the specific problems rather than teaching us how to analyze problems on our own. I'm gonna be solving all of these thinking I understand them then when the tests arrives I won't even be able to know where to start or how to tackle the problem.

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    @ignantxxxninja Před 4 lety +12

    thanks mystery guy.. My College professor tried to explain some of these and complicated it. I appreciate you

    • @Daysleaf
      @Daysleaf Před 4 lety +1

      you guys learn these at college ? i'm in 11th grade and we have these stuff

    • @ignantxxxninja
      @ignantxxxninja Před 4 lety +1

      Yup they also have algebra and geometry and some colleges have more basic ones. A lot of technical universities offer calculus but that’s like basic

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    @user-xq3jq3cf2f Před 5 lety +2

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  • @laizat.1300
    @laizat.1300 Před 3 lety +83

    Isn't it that sin^2 x = (sin x)(sin x)?
    Why is it that at around 13:36 of this video, the sin^2 x became (sin x)(x)? Although, the final answer is still gonna be the same.
    I just got confused. I am hoping for your reply. Thank you. :)

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    @georgesadler7830 Před rokem +2

    MR. Organic Chemistry Tutor, thank you for calculating Limits of Trigonometric/Transcendental Functions in Calculus. Thanks to the viewer(s) for correcting the error on (Sinx)^2/x in the video. Although the final answer is correct, the method is incorrect.

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    Trying to find the limits of trigonometric functions are probably one of the most complicated things when entering to the realm of calculus.

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    incredibly helpful

  • @charliechaplin53
    @charliechaplin53 Před 2 lety +6

    i think there was a mistake instead of sinx*sinx, you wrote sinx*x. Infact limit when x approaches 0 of sin^2(x)/x = 0

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    @danielalmond306 Před 2 lety

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    @sumitham9370 Před 9 měsíci

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    @nasasiraraban-ju6qc Před rokem

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    @user123SSL Před rokem +1

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  • @kpopscenario1406
    @kpopscenario1406 Před 6 měsíci +1

    guys u don’t need radian mode for it and easier way would be just writing pie as 180 and you’ll get it all. for example pie/2 is 90 degrees, u can simply just do 180/2 and you’ll get 90 or another example 2pie it’ll be 180 x 2 which would be 360 degrees or a harder example 3pie/2 u would simply do 3 x 180 which would be 540 then divide it by 2 and you’ll get 270. thank me later!

  • @skog3372
    @skog3372 Před 2 lety +4

    I might be wrong but isn't sin^2(x) = sin(x) * sin(x)? he says it equals sin(x) * x

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    @MikeSpence25 Před 2 lety

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    @Ale-lb8zm Před 3 lety +1

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  • @charliebardey1990
    @charliebardey1990 Před rokem +4

    can someone explain why at 13:48 (sin^2 x)/x becomes (sinx)/x * x???