A Cute Problem with a Sneaky Trick!

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  • Опубліковано 17 січ 2025

КОМЕНТАРІ • 110

  • @PapaFlammy69
    @PapaFlammy69  3 роки тому +24

    *_Holy ass crack, we've got quite some relevant links today_* Make sure to check some of them out to support the channel

    • @xenotronia6681
      @xenotronia6681 3 роки тому +1

      holy ass crack indeed, math guy

    • @anissaada8660
      @anissaada8660 3 роки тому

      I like your video brother I miss you

    • @meowwwww6350
      @meowwwww6350 3 роки тому

      Papa is Andrew starving right now in the basement?

    • @anshulrai677
      @anshulrai677 3 роки тому

      Noice
      (Such a sinfully problem)

    • @aronmaciel
      @aronmaciel 3 роки тому

      A nice problem would be to generalize this to find all x s.t. Sin^2(x) - Sin^2(2x) - Sin^2(4x) = -1/2 you can show that Cos^2(x) - Cos^2(2x) - Cos^2(4x) intersects the sine one always on y = -1/2

  • @AndrewDotsonvideos
    @AndrewDotsonvideos 3 роки тому +68

    Get a load of THIS guy, would ya

    • @justinnettnin9209
      @justinnettnin9209 3 роки тому +8

      I feel that is your response periodically, if you can't come up with some abstract insult. Something tells me you have a nokia phone.

    • @thisguy3572
      @thisguy3572 3 роки тому +10

      Bruh , I’m 16

    • @kathanshah8305
      @kathanshah8305 3 роки тому +4

      @@justinnettnin9209 something tells me you haven’t have faced wrath of nokia 3310 or else you wouldn’t have dared to insult nokia

    • @Gameboygenius
      @Gameboygenius 3 роки тому +2

      Andrew! Get back to the basement so you get Jens back to the basement below that.

    • @cyto3338
      @cyto3338 3 роки тому +1

      About
      "Get a Load of this Guy" is an idiomatic expression that can either be used to acknowledge a witty remark made by another person or poke fun at the complacency of such remark. In online discussion forums and comments, the phrase is most often iterated in the form of reaction images in which various characters are making a pointing gesture.
      Source - knowyourmeme.com
      I am not sure where this applies though, the timestamps are gold, Sorry to ruin the joke if anyone was having fun, I wasn't

  • @claireli88
    @claireli88 3 роки тому +52

    I would prove it by this way:
    LHS = sin²10 - sin²20 - sin²40
    = (1 - cos20)/2 - (1 - cos40)/2 - (1 - cos80)/2
    = (-cos20 + cos40 + cos80 - 1)/2
    = (cos40 - 2sin50sin30 -1)/2
    = (cos40 - sin50 - 1)/2
    = -1/2 = RHS (Since cos40 = sin50).

    • @syphax2207
      @syphax2207 3 роки тому

      How did u go from line 1 to 2?

    • @bsmith6276
      @bsmith6276 3 роки тому +8

      @@syphax2207 You can take the double angle formula cos(2x) = 1-2*sin^2(x) and rearrange that into sin^2(x) = (1-cos(2x))/2

    • @YossiSirote
      @YossiSirote 3 роки тому

      Very nice!!!

  • @reshmikuntichandra4535
    @reshmikuntichandra4535 3 роки тому +61

    Every trick is easy
    THAT IS, UNTIL YOU HAVE TO FIGURE IT OUT YOURSELF!

  • @veralgupta8182
    @veralgupta8182 3 роки тому +23

    "This is the part where he trigs you"
    Yes

  • @_..---
    @_..--- 3 роки тому +20

    cute math is the best kind of math

  • @Starkuchiha
    @Starkuchiha 3 роки тому +7

    You are my maths mentor #salute sir...

  • @garvett6660
    @garvett6660 3 роки тому +8

    To your attention, I am currently consuming fusilli.

  • @Geek37664
    @Geek37664 3 місяці тому

    Did a geometry party with the regular nonagon. Lots of Ptolemy’s Theorem and playing around with triangles on the interior and trig ratios with the sides, diagonals and circumradii.

  • @RC32Smiths01
    @RC32Smiths01 3 роки тому +3

    You always have fascinating work and videos! Cheers!

  • @kathanshah8305
    @kathanshah8305 3 роки тому +3

    Papa be careful about making yo mama jokes cause you might end up in hospital

  • @xerostat8961
    @xerostat8961 3 роки тому +7

    Timeline tags are intelligent!

  • @drjohnsmith5282
    @drjohnsmith5282 3 роки тому +13

    High-pitched squeal opener in headphones is not cool, Papa.

  • @kathanshah8305
    @kathanshah8305 3 роки тому +3

    Why I’m not getting the meme

  • @fem_channel045
    @fem_channel045 2 роки тому +1

    Cos(11°) please 🥺🥺

  • @neilgerace355
    @neilgerace355 3 роки тому +1

    11:25 It's almost the only identity I remember from high school trig:
    2 cos cos = cos sum + cos diff
    And if you remember this, you should remember what cos 60° is :)

  • @holyshit922
    @holyshit922 3 роки тому +1

    I started from
    sin^2(x) - sin^2(2x)-sin^2(4x)
    and simplified it to
    -1/2+1/2cos(2x)(2cos(6x)-1)
    Then substituting x = 10°
    we have result
    I used pythagorean identity, double angle formula and cosine of sum and difference of angles

  • @nanashigames
    @nanashigames 3 роки тому +11

    You’re my legend, this us true

  • @juijani4445
    @juijani4445 3 роки тому +13

    ππ flammy!!!

  • @mateozenteno4566
    @mateozenteno4566 3 роки тому +1

    Tolles Video wie immer

  • @elhamidyabderahman5966
    @elhamidyabderahman5966 3 роки тому +1

    Great job

  • @youngmathematician9154
    @youngmathematician9154 3 роки тому +2

    Wow I just blinked and 13 comments appeared lol

  • @kathanshah8305
    @kathanshah8305 3 роки тому +3

    Papa add some yellow light or use sun screen or something

  • @yusufhafeez8284
    @yusufhafeez8284 3 роки тому

    Absolutely brilliant, love your videos, keep it up! :D

  • @claireli88
    @claireli88 3 роки тому +3

    Hi Flammable Maths, I hope you have no hard feelings and my apology for suggesting another solution to the problem. I appreciate your teaching us on the wonderful aspect of mathematics. Keep up the good work and I will look forward to your interesting coaching on many topics of mathematics. 🙏

    • @kathanshah8305
      @kathanshah8305 3 роки тому +3

      He is a teacher ngl but he is also a cool chad teacher who will take games period but will give you 2 games period when you have 2 maths classes back to back

    • @PapaFlammy69
      @PapaFlammy69  3 роки тому

      yup!

  • @wolfclan5627
    @wolfclan5627 3 роки тому +1

    Papa senpai with cute trig is back

  • @007a1000
    @007a1000 3 роки тому

    Can u pls do a video on reimann zeta function

  • @ricardoparada5375
    @ricardoparada5375 3 роки тому

    I always like how u draw ur eta’s :D

  • @Mystery_Biscuits
    @Mystery_Biscuits 3 роки тому +4

    You’re missing squared’s in the thumbnail my dude

    • @PapaFlammy69
      @PapaFlammy69  3 роки тому +3

      omfg, thank you lol

    • @juijani4445
      @juijani4445 3 роки тому

      @@PapaFlammy69 also in the description :)

  • @AHeroOfAzeroth
    @AHeroOfAzeroth 3 роки тому

    Bro Nice video! Does anyone know where I can buy a blackboard like the one in his video?
    thanks

  • @mayankchandrakar8333
    @mayankchandrakar8333 3 роки тому +7

    mein gott ist das schön

  • @Θρησκόληπτος
    @Θρησκόληπτος 3 роки тому

    "The SON of 20 degrees"

  • @orenfivel6247
    @orenfivel6247 3 роки тому +1

    15:20 No.2 is equal to zero (mod 2) 😂

  • @henriquealcantara914
    @henriquealcantara914 3 роки тому +4

    hi

  • @jarogniewborkowski5284
    @jarogniewborkowski5284 3 роки тому

    You can actually let Yourself to write on Your T-shirt the full differential eqn of simple pendulum, because You have already explained the full solution on Your channel. Best regards

  • @Θρησκόληπτος
    @Θρησκόληπτος 3 роки тому

    The Original Papas: Papa Pythagoras, Papa Euclid, Papa Fibonacci, Papa Archimedes, Papa Al-Kwarismi, Papa Apollonius...

  • @oyibechibundu628
    @oyibechibundu628 3 роки тому +4

    So strange that you are uploading videos more than usual

    • @PapaFlammy69
      @PapaFlammy69  3 роки тому +1

      A few months ago I upload every second day lol

    • @nikhilnagaria2672
      @nikhilnagaria2672 3 роки тому

      dw tho papa will always be posting π videos per day ;)

  • @bobatuzi9799
    @bobatuzi9799 3 роки тому +1

    this guy really just said sigma balls

  • @GauravThakur-hg3ic
    @GauravThakur-hg3ic 3 роки тому

    17^200 is divided by 18, find the remainder, please help

  • @거미남자_spidy
    @거미남자_spidy 3 роки тому +2

    Ohhhh i missed this Vid

    • @PapaFlammy69
      @PapaFlammy69  3 роки тому

      np, now you've watched it, so it's all good

  • @sulkyghost1107
    @sulkyghost1107 3 роки тому +1

    We are waiting For Math Avengers 🔥 in the upcoming Christmas 🎄

  • @OonHan
    @OonHan 3 роки тому

    trigobruhmetry

  • @amirb715
    @amirb715 3 роки тому

    man, just replace each sin^2(x) term with (1-cos(2x))/2 and you quickly see that you only need to prove cos(80)+cos(40)-cos(20) must be zero. and that is trivial. just convert the first two terms into multiplication and it is directly equal to the last term, done. the whole thing takes maybe 2 minutes and in 4 lines

  • @tonyreyes8190
    @tonyreyes8190 3 роки тому +1

    Did he say sugmaballz? Lmao this fuggin guy

    • @PapaFlammy69
      @PapaFlammy69  3 роки тому +1

      :D

    • @tonyreyes8190
      @tonyreyes8190 3 роки тому

      @@PapaFlammy69 you ever hear of the problem where the two old math professors run into each other? This is my FAVORITE MATH PROBLEM. They used to go to college together and are now both professors
      Professor 1:hey, wow, I can’t believe it’s you! It’s been so long! How have you been blablabla add your own details
      Professor2: great! I now have three kids!
      P1:no way! How old are they?
      P2: well, the product of their ages is 36! So their ages are factors of 36
      P1: I’m afraid I still do not know
      P2: this will help, the sum of their ages is exactly the same as our old dorm room number that we shared in college!
      P1: I’m sorry, I still don’t know.
      P2: Well, my oldest has RED HAir.
      P1: Ok, got it!
      Do you? Funklord07@gmail.com if you give up and want an answer. If you think you know it, you don’t know it. You’ll know when you know:) enjoy!!! I’m typing on a phone, but when you share, add detail to their convo and backstory. Have fun with it.

  • @vedants.vispute77
    @vedants.vispute77 3 роки тому +2

    You use a good number of bad words there. Hope no one reports your channel coz this is my favourite channel

  • @RaghavSharma-xc6vg
    @RaghavSharma-xc6vg 3 роки тому +2

    Papa flammy, do a brain aneurysm inducing integrahl pls. uwu

  • @kathanshah8305
    @kathanshah8305 3 роки тому +2

    999 views 111 likes
    ratio is good

  • @erik9671
    @erik9671 3 роки тому +4

    You are a cute problem

  • @HAL-oj4jb
    @HAL-oj4jb 3 роки тому

    This is the sigma male in its natural environment

  • @assassin01620
    @assassin01620 3 роки тому

    Why does that pdf sponsor ad segment feel so scripted and forced? Lmao

  • @ivangospodarski80
    @ivangospodarski80 3 роки тому

    turn the degrees into whole numbers and just use the fundamental theory of engineering

  • @BalaMurugan-hk2gd
    @BalaMurugan-hk2gd 3 роки тому

    Dude this problem is so eazy i have 2 step solution
    Sin^2(10) -Sin^2(40) =-sin(50)sin(30) =-(cos40)/2
    -(Cos40)/2= -0.5 + sin^2(20)

  • @eliaskar5084
    @eliaskar5084 3 роки тому

    Did you know angles are counted in decrees? xD

  • @iqmathsciencelogicalreason2770
    @iqmathsciencelogicalreason2770 3 роки тому

    👌👌👌👌👌

  • @weasel6843
    @weasel6843 3 роки тому

    fun

  • @wizard1370
    @wizard1370 3 роки тому

    YeeAAAAHeah my fam (hits A5)

  • @apocautists8733
    @apocautists8733 3 роки тому

    Mahnus the sahn squared

  • @cristianionita8359
    @cristianionita8359 3 роки тому

    co-SSAN

  • @pardeepgarg2640
    @pardeepgarg2640 3 роки тому

    Did you know
    1/2
    0.12lakh subs for 2.69 :∆

  • @gamingstars8956
    @gamingstars8956 3 роки тому

    But how does a real men solve 2sigma=-1

  • @colkadome
    @colkadome 3 роки тому +1

    Do you have an onlyfans?

  • @الفيزياء-ب2ي
    @الفيزياء-ب2ي 3 роки тому

    ايلافيوه 🍎

  • @cesardepaz7178
    @cesardepaz7178 3 роки тому

    Dad?

  • @tszchunlau223
    @tszchunlau223 3 роки тому +3

    Yay I’m so early

  • @abdelkarimkamal6080
    @abdelkarimkamal6080 3 роки тому

    Please take a look at this,
    Imagine a cube of side 10 cm.
    And you start cutting from all dimensions by halve.
    So you end up with 4 cubes of 5 cm side. Repeat with one of the cubes. So you end up cubes of 2.5 cm side.
    Lets calculate when the side reaches 0 cm
    The division is geometric.
    So we use the formula
    Un = a. r^n-1 un=0 a= 10 r=0.5
    0= 10. (0.5) ^ n-1
    n= ∞
    So we can't destroy matter, nor create it from zero, when how it was all created?
    In Islam, God names are The First, The creator, the able, the Accountant, Allah.
    So this proves that creation must be created from God, that we worship and is worthy of worship 5 times a day. Please belive in Islam and prophet Muhammed who said: '' who takes a road where he touches science God eases for him his way to heaven. ''
    And god has said in the Quran
    (هُوَ ٱلَّذِی جَعَلَ ٱلشَّمۡسَ ضِیَاۤءࣰ وَٱلۡقَمَرَ نُورࣰا وَقَدَّرَهُۥ مَنَازِلَ لِتَعۡلَمُوا۟ عَدَدَ ٱلسِّنِینَ وَٱلۡحِسَابَۚ مَا خَلَقَ ٱللَّهُ ذَ ٰ⁠لِكَ إِلَّا بِٱلۡحَقِّۚ یُفَصِّلُ ٱلۡـَٔایَـٰتِ لِقَوۡمࣲ یَعۡلَمُونَ)
    [سورة يونس 5]
    他曾以太阳为发光的、以月亮为光明的,并为月亮而定列宿,以便你们知道历算。真主只依真理而创造之。他为能了解的民众而解释一切迹象。
    Please share it with

    • @abdelkarimkamal6080
      @abdelkarimkamal6080 3 роки тому

      If you think also of going the inverse of the sequence (other way) 0* 2 (the oppisite of halfing) = 0

    • @bsmith6276
      @bsmith6276 3 роки тому

      This just looks like a version of Zeno's Paradox, with a religious appeal appended to the end.
      From a modern mathematical standpoint Zeno's Paradox and its cousins just aren't interesting since we have the delta-epsilon definition of a limit and all the properties of limits which can be extrapolated from that definition.
      From a historic standpoint there are some interesting arguments used prior to the delta-epsilon limit, such as Archimedes and his Method of Exhaustion.