How To Find The Reference Angle In Radians and Degrees - Trigonometry

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  • Опубликовано: 5 янв 2025

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  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +9

    Trigonometry - Free Formula Sheet: bit.ly/47diggI
    Trigonometry Video Lessons: www.video-tutor.net/basic-trigonometry.html

    • @airlynsky4635
      @airlynsky4635 10 месяцев назад

      Hello, Thank you for this video, but can you make one lesson with compass directions? Thank you!

  • @hellod4036
    @hellod4036 4 года назад +334

    I haven’t been listening in my pre-cal class and this is going to be on the math test that I need to do in less than two hours so thank you!

  • @zanderdadios1807
    @zanderdadios1807 5 лет назад +247

    Video was made 2 years ago but still helping a homie to this day, I have my trigonometry exam today 😂

  • @adamc.7915
    @adamc.7915 5 лет назад +75

    Basically, the angle must be off the x axis and be between 0 and 90. I can't believe my teachers didn't even teach this

  • @Quandalius
    @Quandalius 4 года назад +78

    My brain has collapsed on itself like a super massive star turning into a black hole

  • @velveteencherrytart6335
    @velveteencherrytart6335 4 года назад +640

    i have a trig test in 10 mins wish me luck

  • @lisanguyen2397
    @lisanguyen2397 6 лет назад +61

    Thank you so very much for taking time explaining so carefully, you are awesome

  • @jadenmoser8433
    @jadenmoser8433 5 лет назад +277

    bruh why can't my math teacher do this tho

  • @Nicholas-XXXXXXXX
    @Nicholas-XXXXXXXX 6 лет назад +2445

    I wish I was dead

    • @Nicholas-XXXXXXXX
      @Nicholas-XXXXXXXX 6 лет назад +226

      i dropped the class and now im taking ssris because i have depression

    • @oofnebro8682
      @oofnebro8682 6 лет назад +26

      Nice

    • @cacodemon_doom
      @cacodemon_doom 5 лет назад +23

      were*

    • @passport3763
      @passport3763 5 лет назад +73

      Nick Nick don’t give up!!! The world needs people who are willing to bust ass like you!!

    • @priyavartrajain2166
      @priyavartrajain2166 5 лет назад +67

      we love you nick, don't give up ma boy

  • @noorakhan9081
    @noorakhan9081 3 года назад +6

    this makes so much more sense than everybody elses video thank you so much!

  • @theseusswore
    @theseusswore 3 года назад +6

    dude. how do you make such easy to understand videos, its simply amazing

  • @FitWithCalisthenics
    @FitWithCalisthenics 2 года назад +2

    The entire video playlist is great! Organic Chem Tutor has some of the best math videos on RUclips.

  • @missasyan
    @missasyan 3 года назад +81

    "i wonder why i'm so bad at math"
    also me: watching videos about genshin and making team compositions instead of listening to math class

    • @keiru4000
      @keiru4000 3 года назад

      FOR REAL I DO THE EXACT SAME THING 😭🤌 what’s ur team comp lolol

    • @leenicole1878
      @leenicole1878 3 года назад

      IM LITERALLY DOING THIS RN I CANT GET SPIRAL ABYSS LVL 8

    • @missasyan
      @missasyan 3 года назад +1

      @@keiru4000 childe, fischl, bennett, venti
      razor, kaeya, xingqiu, zhongli
      haven't artefact farmed for any supports cus i just triple crowned childe lmfao
      despite studying a little bit of theorycrafting (icd, gauges, etc), my application of what i've learned is horrible because i'm too lazy HAHA, the 90 fragile resin is just sitting in my backpack

    • @barb5953
      @barb5953 3 года назад

      literally though. But i go my phone taken away so now i have to do this and im trying to hurry up before klee banner

  • @tylerkey7283
    @tylerkey7283 5 лет назад +89

    took my teacher an hour and a half to explain this same concept

    • @StarLight-ml2tp
      @StarLight-ml2tp 4 года назад +4

      I doubt it. Teachers don’t take an Hour to explain one concept, but they might take an hour working on examples to help you comprehend it. #respect for teachers

    • @hyon2441
      @hyon2441 4 года назад +15

      i feel like my teachers rely on basic examples to make you feel like it's easy and you can ace anything but then the tests come and they put a slightly hard question, we get tilted and we all feel dumb
      hope they explain thoroughly, not half-assed

    • @klinxium8627
      @klinxium8627 3 года назад +7

      @@StarLight-ml2tp I politely disagree

    • @missy3041
      @missy3041 2 года назад

      @@hyon2441 this it just makes me wonder if that was the same concept the teacher taught us

  • @arjonsantos5669
    @arjonsantos5669 Месяц назад +1

    I'm literally doing a quiz rn and this man just saved me😭

  • @worldsendfruitbasket
    @worldsendfruitbasket 4 месяца назад +1

    i love this video ... i was really struggling to figure out how i was getting these trig equations wrong using the special triangles ... i wasn't using the reference angle!... i hope everyone confused about that Finds this video

  • @viperasd1331
    @viperasd1331 3 года назад +4

    This actually help me to understand the homework that I have thank you for this video

  • @bellelele3563
    @bellelele3563 4 года назад +2

    thanks you so much for fixing what my teacher taught wrong. I was really confused doing this reference angle and looking at what my teacher did. Then i realized that she did the wrong way.

  • @hitbornreman
    @hitbornreman 2 года назад +7

    Hey, I have a pre calculus exam tommorow. If I don't make it, I want you to know that your videos helped me alot. Thank you.
    (edit: I somehow survived. W)

  • @cattidesjar4229
    @cattidesjar4229 4 года назад +1

    My college algebra teacher showed us this video. Thank you so much, this helps a lot!

  • @akubi-s2m
    @akubi-s2m 3 месяца назад

    I really love u and this video. Finally I get it.❤❤❤❤❤

  • @josephthecreator
    @josephthecreator 2 года назад +1

    Sir, I am thanking you in 2022 for creating this video 😅. THANK YOU!

  • @AlfiOroni
    @AlfiOroni 4 месяца назад

    That's cool . I am watching it from Bangladesh 🎉.

  • @rahmahosam3295
    @rahmahosam3295 3 года назад +3

    Thanks so much , you help us specially in distance learning 👏👏👏

  • @leenalcharfli3472
    @leenalcharfli3472 6 лет назад +5

    thank yoouuuuu i was so struggle in this part but i understand from you

  • @DialaRhouli
    @DialaRhouli 7 месяцев назад +1

    I swear i learn from this guy more than I learn from school lol

  • @cathkris
    @cathkris Год назад +1

    thank you for being clutch like always🙏🏾

  • @georgesadler7830
    @georgesadler7830 3 года назад +2

    MR. Organic Chemistry Tutor, this is another classic topic in trigonometry that is easy to follow. Problem solving is the key to understanding this topic.

  • @buddywagner7458
    @buddywagner7458 3 года назад +1

    Guys. (Angle in degrees) mod 90. If its in quad 2 or 4 then take that result and get the compliment from 90. ie, -240deg mod 90 = 30, its in quad 2, so reference is 60. Way faster and easier to do in your head.

  • @subhihamdallah6790
    @subhihamdallah6790 Год назад

    Thanks!

  • @bruh6267
    @bruh6267 2 года назад +5

    For 5:18, what if the given degree to me is -400 degree, Do I have to add it to 360 twice to make it positive or just once and remain it at negative state?

  • @EmpyreanLightASMR
    @EmpyreanLightASMR 2 года назад +9

    8:42 I think the reference angle for 3π/5 is 2π/5, like you show, but all your examples (except for this one) are only one π degree away from each other. So 8π/9 is only π/9 away from 9π/9. The example with 3π/5 is the only one where you have two "pi steps" away from 5π/5, because 3 is 2 away from 5. So π/5 is a reference angle also, but only as a reference guide... you would eventually count π/5 twice to go from 5π/5 to 3π/5, and that would equal 2π/5.
    All this to say... I think the π/x number is a guide, but not the actual reference angle. This video made me realize we need to be just a little bit careful when answering questions on exams if the denominator is slightly different than what we're used to, is that right?

  • @azk1776
    @azk1776 5 лет назад +7

    The reference angle is in reference to the negative x-axis or the positive x-axis. In degrees it is either 180 or 0(same as 360). In radians, the negative x-axis is pi and the positive x-axis is 0(same as 2pi). It is too much work to convert to degrees then convert back again. For 8pi/9, it is just 8/9 of pi, which is 1/9 pi away from a full pi, putting it in the second quadrant.

    • @azk1776
      @azk1776 5 лет назад

      So the reference angle of 8/9 pi is 1/9 pi. No need to convert to degrees. Think of the quadrants in pi instead of degrees.

    • @EmpyreanLightASMR
      @EmpyreanLightASMR 2 года назад

      His only example that confused me was when the reference angle was 2π/5.... I thought it would just be π/5

  • @devpatel7154
    @devpatel7154 5 лет назад +1

    Thank u so much I have a test tommorow and this really helped ur awesome!

  • @babyjanevillanueva4522
    @babyjanevillanueva4522 3 года назад +1

    thank you, I really cant understand it and you helped me a lot, salute to you!

  • @hhkwk1716
    @hhkwk1716 8 месяцев назад

    You are saving my life ❤

  • @________8553
    @________8553 4 года назад +9

    I only watched till 1:27 and already know everything I need to know

  • @jomarcabides6837
    @jomarcabides6837 3 года назад +2

    I never knew I needed this. Thank You so much fr tho. :>

  • @PheonixFarss
    @PheonixFarss 4 года назад +2

    something this simple my teacher can't explain

  • @RubiMercuri
    @RubiMercuri 5 лет назад +5

    You saved my life

  • @Sailormoonwoot
    @Sailormoonwoot Год назад

    homeboy is helping me in both classes lmfaooo thanks man

  • @aishiaratrika
    @aishiaratrika 3 года назад +2

    Awesome! Thanks a bunch

  • @lachlandavies7495
    @lachlandavies7495 4 года назад +1

    bro thank you very much you just helped me out massively

  • @elizmabergh5225
    @elizmabergh5225 2 месяца назад

    H, at 01:27the question is the reference angle relating to the positive x axis, is that then the angle between the terminal ray and the positive x axis, so it will be 150degrees

  • @heypaul7246
    @heypaul7246 5 лет назад +3

    amazing... the basics are taught well

  • @nityakodali6073
    @nityakodali6073 4 года назад +2

    Thank you so much for this video! You have no idea how much it helped me!!

  • @colehafner97
    @colehafner97 4 года назад +1

    Thank you for blessing me so i don’t fail

  • @xignit0r469
    @xignit0r469 7 лет назад +6

    Thank uu sooo much i will definitely pass my exams

  • @supreemdahal4277
    @supreemdahal4277 Год назад

    Man love you the free content you provide is absolutely helpful.
    May god always help you, and god bless you.
    (God of every religion)

  • @jasonbf03
    @jasonbf03 6 лет назад +2

    A very helpful video, buddy! Nice job

  • @p.o.n.d_6389
    @p.o.n.d_6389 3 года назад +1

    I have a math exam and I did not pay attention in class, so now I’m watching this at 3:00am 😤🥲

  • @tamarabrtc
    @tamarabrtc 4 года назад +1

    Thank you so much!!!!! This was so helpful

  • @ram42
    @ram42 10 месяцев назад +9

    I have a trig test in an hour

  • @KamrulHasan-mp1vw
    @KamrulHasan-mp1vw 2 месяца назад

    গান শুনি তবে এই রকম গান,যেমনটি আপনি গাইলেন আমার মনের মত করে । আপনাকে ধন্যবাদ দিয়ে ছোট করার ইচ্ছা আমার নেই। আমার বিশেষ অনুরোধ রইল আপনার সান্নিধ্যে ,আপনি যেন আরও নজরুল সঙ্গীত পরিবেশন করেন। আমার ভাষায় বলতে হল মাশাল্লাহ।

  • @whydoesthisnotallowmetowri843
    @whydoesthisnotallowmetowri843 4 года назад +6

    It's midnight and I'm studying for a test in nine hours and I need to sleep -_-

  • @adriaNGplus
    @adriaNGplus Год назад +1

    your vids are literally the only thing giving me hope that i can pass this class

  • @yellowflower8618
    @yellowflower8618 3 года назад

    You made it even easier, yeahh talkin about PreCal.... Hmmm thankss!

  • @cheoleyrella_svt13
    @cheoleyrella_svt13 2 года назад

    Thankyou so much !! You're literally a life saver

  • @youknownothingjonsnow2418
    @youknownothingjonsnow2418 3 года назад +5

    How tf did we get from eating wild berries to solving this sht?

  • @giemar8307
    @giemar8307 3 года назад +1

    Thank you Sir. God bless you

  • @fakegtbear2473
    @fakegtbear2473 Год назад

    This wasn't taught in our precal class but we have a test so I have to learn this in an hour

  • @mahmoudshorbajy4696
    @mahmoudshorbajy4696 2 месяца назад

    Best video ❤

  • @olafsadfagdwetufsr1urssaxa549
    @olafsadfagdwetufsr1urssaxa549 4 года назад

    actully that was excellent 🤝

  • @toi_let954
    @toi_let954 3 года назад +3

    thanks for the tutorial, my professor doesn't teach at all. Just makes us read a textbook.

  • @skankyi4644
    @skankyi4644 3 года назад

    this helped me so much thankyou

  • @masonthewise6132
    @masonthewise6132 4 года назад +1

    Thanks, this helps.

  • @_LuvStarz_
    @_LuvStarz_ 4 года назад +20

    I wanna know what’s online class gonna do when I cheat, send me home

    • @safiasamad3715
      @safiasamad3715 4 года назад +4

      Right...give me silent lunch

    • @Nawalsamer04
      @Nawalsamer04 4 года назад

      But you have to study math😭 but other subjects cheating is like easyyy

    • @gigglypiggly_
      @gigglypiggly_ 4 года назад +1

      nah online class is open book, so basicaly there is no such thing as cheating

    • @ethelb6237
      @ethelb6237 4 года назад +1

      @@gigglypiggly_ not for everyone buddy

  • @SamuelTibebu-q9q
    @SamuelTibebu-q9q 6 месяцев назад +8

    Who else after 6 years

  • @marahyounis2941
    @marahyounis2941 Год назад

    5:01 why should we find the coterminal angle first ??

  • @kallytem9652
    @kallytem9652 6 лет назад

    thank you so much
    your vidios are very helpful

  • @Mariomaxx
    @Mariomaxx 4 года назад

    Thanks Lubin

  • @SaronTariku-dl9sq
    @SaronTariku-dl9sq 6 месяцев назад +1

    I have a big test coming up in about 2 weeks wish me luck

  • @astudilloerika31
    @astudilloerika31 4 года назад +1

    Thank you. I finally understand this.

  • @brianabrijmohan3835
    @brianabrijmohan3835 3 года назад +2

    This helped a lot, but how do you know which quadrant the angle is in?

    • @EmpyreanLightASMR
      @EmpyreanLightASMR 2 года назад +2

      If you draw a cartesian graph (Y axis and X axis), there are four quadrants, each separated by 90° 180°, 270°, and 360°, if you go around the graph from the positive x-axis, counterclockwise.

  • @jellybeangorl
    @jellybeangorl 2 года назад

    you lifesaver

  • @hftak9009
    @hftak9009 3 месяца назад

    what abt when there's a large negative degree number like -680 and you have to find the reference angle? do you just use its coterminal angle between 90 degrees and 0 degrees?

  • @altheamatias6740
    @altheamatias6740 4 года назад +1

    Thanks 👉😭👈

  • @dieulia6126
    @dieulia6126 3 года назад

    Thank u very much!!!

  • @normazlinayaacub430
    @normazlinayaacub430 3 года назад +1

    why cant we do 270 - theta if the angle happens to be in the third quadrant?

  • @anithakumar2008
    @anithakumar2008 7 лет назад +2

    Very good

  • @coldenate
    @coldenate Год назад

    you’re so awesome

  • @abdulaziz9229
    @abdulaziz9229 4 года назад

    Thx It's helpful

  • @Endet_
    @Endet_ 4 года назад

    thanks man!

  • @mr.clickbaiter1015
    @mr.clickbaiter1015 3 года назад +1

    Does this mean the reference angle of 35 is 35 degrees since Qreference=Q1 ?

  • @sabrina8755
    @sabrina8755 Год назад

    Would it matter if there was sin, cos or tan at the front or would it all be the same

  • @rethabilemofokeng1698
    @rethabilemofokeng1698 5 лет назад

    Thank you!

  • @sara1078
    @sara1078 3 года назад

    you saved me!!!

  • @japarc.manding3420
    @japarc.manding3420 6 лет назад

    Thank you very much....

  • @mathsmadeeasywithbonolo5555
    @mathsmadeeasywithbonolo5555 4 года назад

    LOVE IT

  • @14oznalgenewaterbottle
    @14oznalgenewaterbottle 2 года назад

    4:59 (just putting a bookmark here when i come back from my 25 hour break bye)

  • @chimarao382
    @chimarao382 2 года назад +1

    I love you

  • @elicubillo313
    @elicubillo313 Год назад

    you explained more in 1 min than i learned in 2 classes lol

  • @littletath
    @littletath 2 года назад

    so much better than my teaxher

  • @tinybison.
    @tinybison. Год назад

    Trig test tomorrow and I gotta learn 5 weeks of material wish me luck

  • @chrispearce4064
    @chrispearce4064 4 года назад

    ty so much

  • @itsjunix
    @itsjunix 3 года назад

    I've learned the ways of the wizard in 12 minutes and 37 seconds

  • @hitormisshuh
    @hitormisshuh 2 года назад

    its hard when you cant listen to lectures in classes so you have to catch up on your own.

  • @limariomanoban9535
    @limariomanoban9535 3 года назад +2

    How about the reference number of -850?

  • @zesty_5193
    @zesty_5193 3 года назад

    The pain is temporary but the gain is… slightly less temporary 😅

  • @zebull399
    @zebull399 Год назад

    Have a trig test next Tuesday