Trigonometric Functions of Any Angle - Unit Circle, Radians, Degrees, Coterminal & Reference Angles

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  • Опубликовано: 2 фев 2025

Комментарии • 274

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +8

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

    • @RobertBryantDiloy-lg2li
      @RobertBryantDiloy-lg2li 11 месяцев назад

      how do we get the 11,60,61? at 4:50 please show me the solutions for it

  • @lance4377
    @lance4377 4 года назад +473

    I love how he explain things so casually in like 3 sentences, easy to understand while my teacher needs to explain a simple concept in 1 hour, 20 minutes per example.

    • @BlastinRope
      @BlastinRope 4 года назад +26

      And then someone asks the dumbest question (its okay btw, not explicitly question shaming) and he takes another hour explaining something that doesnt answer the question

    • @michaelterrell5061
      @michaelterrell5061 4 года назад +21

      @@BlastinRope and instead of not only not answering the question he actually ends up confusing the class more.

    • @sittienorhayamindalano187
      @sittienorhayamindalano187 3 года назад +1

      small mistake makes your answer wrong that's the nature of mathematics

    • @quandaledingleberry5831
      @quandaledingleberry5831 3 года назад +1

      they're focused on the lecture duration than the comprehension of their students, that's how i observe them.

    • @wallgolfing
      @wallgolfing 3 года назад +2

      Jesus Christ is Lord and King and Our Savior

  • @d.buchko4270
    @d.buchko4270 Год назад +3

    Thanks!

  • @GaneshMKarhale
    @GaneshMKarhale 6 лет назад +134

    Thank you for giving us this incredible amount of knowledge. I appreciate your hard work. 💙

  • @heidirivera9457
    @heidirivera9457 3 года назад +30

    You have no idea how much time you’re saving me from relearning everything even if my professor had just explained it. My finals are coming up but he teaches it in a way where there is no explanation given just examples. I love the way you teach and explain I have been watching your videos a lot more should have started earlier though.

  • @nurak3716
    @nurak3716 5 лет назад +227

    For those looking for unit circle and radians that begins at 28:00

    • @demondoggy988
      @demondoggy988 4 года назад +4

      Thanks god

    • @diegojoaquin5258
      @diegojoaquin5258 4 года назад +2

      @@demondoggy988 hows ur exam?

    • @demondoggy988
      @demondoggy988 4 года назад +2

      @@diegojoaquin5258 haven't had it yet but I missed a few days so I'm prepping up

    • @hpg8477
      @hpg8477 4 года назад +1

      Is that good?

    • @lykeafish2181
      @lykeafish2181 3 года назад +1

      Haha 20 min before exam

  • @nurinnnnnnn
    @nurinnnnnnn 3 года назад +53

    10:27 my teacher thought us simple way to remember this :)
    (A)dd (S)ugar (T)o (C)offee
    -Quadrant I ➡️All +ve
    -Quadrant II ➡️ only sin +ve
    -Quadrant III ➡️ only tan +ve
    -Quadrant IV ➡️ only cos +ve

    • @drkn0
      @drkn0 3 года назад +28

      (A)ll (S)tudents (T)ake (C)ocaine

    • @ripper5941
      @ripper5941 3 года назад +1

      @@drkn0 lmao 🤣

    • @ddahstan6876
      @ddahstan6876 3 года назад +4

      @@drkn0 "A"ll "S"tudents "T"ake "C"alculus when I had it. But Things change nowadays... LOL. But I have to admit Add Sugar To Coffee's the easiest to recall... so is Add Students To Class ;-)

    • @popularsandwich_
      @popularsandwich_ 2 года назад

      All Science Teachers are Crazy

    • @theo-k4i8m
      @theo-k4i8m 5 месяцев назад

      A Smart Trig Class

  • @senyorhatdog1265
    @senyorhatdog1265 4 года назад +28

    This channel is the only online class I approve and probably gonna learn from.

  • @jakhongirm8253
    @jakhongirm8253 Год назад +23

    (14:00) in this scene of the video, when we rationalize -2/sqr(13), it becomes -2sqr(13)/13 NOT -2sqr(13)/3

    • @diegomartinez530
      @diegomartinez530 Год назад +2

      ok i had to double check like 3 times LOL

    • @Chomkin
      @Chomkin Год назад +2

      oml, I been trying to figure out how he got 3 for like 30 minutes. Glad to know that I was already right in the first place

    • @curtisgroce973
      @curtisgroce973 10 месяцев назад +1

      thank u I was confused lol

  • @MSom28
    @MSom28 5 лет назад +25

    I'm taking uni calc right now and highschool was almost a decade ago so the lectures I've gone to so far have felt like gibberish to me but I feel like your channel is going to be super helpful so thank you so so much! ! You are amazing! You really are a god send! Love your channel so much!

  • @paolavalenciasandoval1739
    @paolavalenciasandoval1739 5 лет назад +252

    save me from a whole semester of explanation

  • @ausernamethatstotallyorigi1442
    @ausernamethatstotallyorigi1442 4 года назад +22

    Thx I’m writing an exam in 2 hours and 47mins and I think I’m just a bit more ready now :’)

  • @aluongagok7125
    @aluongagok7125 5 лет назад +13

    U just relieved me from overthinking about the formula SOHCAHTOA, thank u so much

  • @wahidyak
    @wahidyak 5 лет назад +19

    Having exams in the morning and you just saved me. Thanks

  • @georgesadler7830
    @georgesadler7830 Год назад +1

    Professor Organic Chemistry Tutor, thank you for an excellent video/lecture on Trigonometric Functions of Any Angle- Unit Circle, Radians, Degrees, Coterminal and Reference Angles. Learning Trigonometry starts with these classical Transcendental Functions and how they relate to the Unit Circle. Thanks to the viewers for finding and correcting the error(s) in this video.

  • @akajambron5109
    @akajambron5109 5 лет назад +28

    Thx!Your vids are better than my uni‘s recordings!

  • @aidangibo9413
    @aidangibo9413 3 года назад +2

    Oh my god, because of the way he explains everything in trigonometry I get what my teacher is saying. Thanks a lot

  • @johnsonchuksalisi5893
    @johnsonchuksalisi5893 4 года назад +4

    Thank you very much for your help with this. I think I understand it better now. I have been watching many of your videos and they are really helping me. GOD BLESS YOU and keep it up.

  • @Eli-hh4bu
    @Eli-hh4bu 2 года назад +8

    Thank you so much!! you have been extremely helpful for my class this semester. You're the only reason I pass my tests!

  • @darisdaris1
    @darisdaris1 6 лет назад +45

    Super clutch, not failing the math test anymore

  • @skandakarra8211
    @skandakarra8211 2 года назад +4

    Before I watched this video, I was so confused on how to solve these problems with the unit circle and triangles, but this video goes step by step easily😊! Could you please make another video on how to solve problems that cannot be easily found with reference angles, the unit circle, etc.?

  • @tigera1401
    @tigera1401 7 лет назад +9

    Thank you so so much, you made it so much easier and clear. You are doing so well, keep up the videos brother!!

  • @ZeroTwo00002
    @ZeroTwo00002 Год назад +1

    I can't imagine world without you.

  • @ddahstan6876
    @ddahstan6876 3 года назад +3

    What a great review to watch!! I'm making so much "neuro-connections" to trig than ever before... Thank You, The Organic Chemistry Tutor.

  • @cut-throat3056
    @cut-throat3056 4 года назад +32

    Gg love everything but 14:02 it should be over 13 ✌🏾

  • @acyelle_8094
    @acyelle_8094 2 года назад +2

    Our final exam is on Monday and This vid really help me a lot just wanted to say Thank You! Your really great than our Math teacher tho.

  • @khushmanmahal7177
    @khushmanmahal7177 9 месяцев назад +1

    bless your heart you are God sent!! your videos help me out with so much

  • @taiedy
    @taiedy 7 лет назад +199

    it should be [-2sqrt(13)]/13 and not [-2sqrt(13)]/3. Small mistake.

  • @F.I_tv
    @F.I_tv Год назад +1

    I use a more friendly one by saying 9:50 All Students Take Cab
    So
    All-first quadrant (all is positive)
    Student- second quadrant (sine is positive)
    Take- third quadrant (tan is positive)
    Cab-fourth quadrant (cos is positive)

  • @sahlmon478
    @sahlmon478 5 лет назад +9

    Very helpful than my teacher

  • @Maryam-bs2wd
    @Maryam-bs2wd 5 лет назад +3

    thank you so much ! I wish you were my actual teacher

  • @silvesterbaraka
    @silvesterbaraka 4 года назад +1

    since then i attended this for the first time, i love watching this always and it is helful.

  • @jorlinmarantejr.5067
    @jorlinmarantejr.5067 3 года назад +1

    3 weeks with 3 days and 2 hr long lectures and only needed a 1 hr video to actually understand. Good lord teachers should just play this video for one lecture and that's it, save everyone time.

  • @brandonmitchell6776
    @brandonmitchell6776 4 года назад +6

    How do you get 3 on 14:02? Should it be 13 instead of 3 when you multiply the square-root of 13?

    • @hinasofy229
      @hinasofy229 4 года назад +3

      He made a mistake

    • @mal_k.07
      @mal_k.07 4 года назад +2

      yes yes its okay everyone makes mistakes

  • @Jazzenova
    @Jazzenova 2 года назад +7

    think of the quadrants as CAST where Q1 is A=all, Q2 is S=sin , Q3 is T=tan and Q4 is C=cos. This helps me remember.

  • @Glokk40Chris
    @Glokk40Chris Год назад

    these vids are perfect Brodie, TYSM

  • @yallamoro6781
    @yallamoro6781 11 месяцев назад +2

    THIS GENTLEMAN IS EVERY STUDENT’S HERO 🦸‍♂️ 🫡

  • @BiblePromiseReflections
    @BiblePromiseReflections 2 года назад +1

    Bro I don't know who you are but you are a life saver....thank you and God bless you for this

  • @vintran9777
    @vintran9777 3 года назад +1

    Your videos helps a lot. Thank you.

  • @arulzain9073
    @arulzain9073 5 лет назад +4

    Very Helpful

  • @pagodnako
    @pagodnako 2 года назад +4

    POV: ubos ang 3 hours mo every class session tapos wala kang natutunan pero nagets mo agad nung napadpad ka kay daddy Org HAHAHAHAHAHAHAHAHA

    • @hellobyehi_123
      @hellobyehi_123 Месяц назад

      So real sa 3 hours kaso 2 amin HAHAHAHAHA minsan wala ako magets

  • @berlindabeauvais8793
    @berlindabeauvais8793 5 месяцев назад +2

    great video! small typo at 14:51 should be 13 not 3 when u rationalized the sin

    • @beansforsale
      @beansforsale 3 месяца назад +1

      dude i thought i was tweaking thankyou

  • @user-bv5sq9dy7w
    @user-bv5sq9dy7w 4 года назад +2

    Thank you so much 😊

  • @aiawippie
    @aiawippie Год назад

    okey but like, why is this dude's voice so calming-

  • @deckou8317
    @deckou8317 2 года назад +4

    13:58
    the right answer is -2√(13)/13
    not -2√(13)/3
    it's just a small human mistake

    • @exr88558
      @exr88558 2 года назад +1

      Thank you!

  • @bukkyamos7946
    @bukkyamos7946 2 года назад

    I love you explain carefully

  • @kayr.4139
    @kayr.4139 6 лет назад +7

    38:00 reference angle

  • @randallmcgrath9345
    @randallmcgrath9345 3 года назад

    You might as well write your own textbook too because your examples always seem better than my book.

  • @wonton3895
    @wonton3895 3 года назад +1

    AMAZING VIDEO! THANK YOU SO MUCH!

  • @tioloitu
    @tioloitu 4 года назад +1

    Thank youuuu very much. May god bless you abd give you guide :)

  • @Angiebee.
    @Angiebee. 3 года назад

    This is so helpful! THANK GOD

  • @vrod9814
    @vrod9814 5 лет назад +5

    Thank you very much, I now I understand what to do for my upcoming exam!

  • @M4thnet
    @M4thnet 3 года назад

    Excellent.
    Very inspiring. Thank you.

  • @srijanampally
    @srijanampally 2 года назад +1

    life saver!

  • @suayipfarah7619
    @suayipfarah7619 5 лет назад +1

    thanks bro very useful video i appreciat it

  • @JoelasKun
    @JoelasKun 2 года назад

    thank you man this really helps me :)

  • @elvisjrmubanga1422
    @elvisjrmubanga1422 3 года назад

    Thank you sir we really appreciate your work

  • @zacharycornman977
    @zacharycornman977 3 года назад

    Thank you for your videos man

  • @hagioso
    @hagioso 2 года назад +1

    In 13:55 it’s supposed to be -2 sqrt of 13 over 13

    • @issy0812
      @issy0812 Месяц назад

      ik thats what i thought

  • @whynot1135
    @whynot1135 6 лет назад

    thank you sooo much men i hope you will get your donations someday your dah best

  • @randomcubing7106
    @randomcubing7106 4 года назад +1

    *THANK YOU*

  • @Wow-bb4rx
    @Wow-bb4rx Год назад +1

    yes this is great

  • @lovlee8645
    @lovlee8645 6 лет назад +1

    Im so glad my tcher let us write this formula on an index card

  • @Solving-Together
    @Solving-Together 5 лет назад +2

    What if I only have one side as a given? I encountered this in a activity yesterday.The given was tan = square root of 5 ( that makes it the opp, am I right? ). Using TOA is it alright if I assume that the adj is 1 ( if I assume it as [square root of 5/1] )?

    • @awkwardrainbowpotato5620
      @awkwardrainbowpotato5620 3 года назад

      I know that this comment is a year old, but for the sake of other people that might be looking for the same answer. Yes, that would be correct.

    • @Solving-Together
      @Solving-Together 3 года назад

      @@awkwardrainbowpotato5620 still, thank you.

  • @neuropsychopharmacologisti4340
    @neuropsychopharmacologisti4340 8 лет назад +2

    this video is so informative, thank you !!!

  • @Alex-rv8ql
    @Alex-rv8ql 3 года назад +1

    I do like this position.

  • @misschewe4340
    @misschewe4340 4 года назад

    Thank you so much for this

  • @vincentsanpedro8156
    @vincentsanpedro8156 4 года назад +2

    Please teach us how to use Abacus and mental abacus

  • @LheannMichelleFlorento-xc7ux
    @LheannMichelleFlorento-xc7ux 9 месяцев назад

    Bro is the type of guy who dont yap about math while my future calculus teacher yapping for over 3 hours

  • @Sanquezo
    @Sanquezo 2 года назад

    Can someone help me please? I have a question.
    At 13:55 he says "-2(root13)/3"
    Where does the 3 come from?

  • @kurtguile752
    @kurtguile752 4 года назад +1

    in 14:01 why the answer is -2 square root of 13 over 3 if it is -2 square root of 13 over 13

    • @mal_k.07
      @mal_k.07 4 года назад

      yes yes but hey everyone makes mistakes am i right he maybe got confused or wrote a wrong number but its okay mistakes do happen

  • @BlancSal
    @BlancSal 3 года назад

    32:39 While this video is older I don't see the reason to do this round about way to get to the answer, doing 180/9 = 20, so then you can do 5 * 20 * 9/9, then 5 * 20 = 100, same amount of math but a less painful way imo

  • @kennobags6904
    @kennobags6904 5 лет назад +3

    41:09 the conversion is incorrect, the degree should be 75 not 105.

    • @3spressoShot
      @3spressoShot 5 лет назад

      I don't understand doesn't he say its 75 degrees? @ 41:20?

    • @glennpatricktiu2299
      @glennpatricktiu2299 4 года назад

      Converting radians to degrees and degrees to radians is simply multiply 7 by 180 and divided by 12 is 105 you just need to cancel the 7 pi and you will get the answer

    • @glennpatricktiu2299
      @glennpatricktiu2299 4 года назад

      And it says its in quadrat two so the referance angle is 180 subtracted by the quadrant two which is 105 degrees makes it 75 degrees

    • @glennpatricktiu2299
      @glennpatricktiu2299 4 года назад

      So the reference angle is now 75 degrees

  • @copiusgrimus6671
    @copiusgrimus6671 Год назад

    I learnt it thru
    Some = People/Have
    Currly = Brown/Hair
    Thru = Proper/Brushing
    Sin p/h
    Cos b/h
    Tan p/b

  • @narcotic_necromancer431
    @narcotic_necromancer431 3 года назад

    Thank you

  • @shalommakwinja1855
    @shalommakwinja1855 2 года назад

    You're amazing

  • @faisalmohamed4595
    @faisalmohamed4595 Год назад

    I think at 22:59 its 12.041 if we use a2+b2=c2

  • @Ai4698
    @Ai4698 5 лет назад +1

    51:10 sin is root 3 / 2 and cos is 1 / 2, tan is sin/cos. So the answer is - root 3

  • @angelalexandran.pronebo9360
    @angelalexandran.pronebo9360 4 года назад +3

    11:53, should it be 25 over NEGATIVE 7? instead of negative 25/7

    • @directornie5091
      @directornie5091 4 года назад +3

      when it's fraction it doesn't really matter because when you divide a negative number by a positive or a positive number by a negative, the answer will be negative.

    • @angelalexandran.pronebo9360
      @angelalexandran.pronebo9360 4 года назад

      @@directornie5091 oh i got it, thank you!! :)

  • @Klei_ko
    @Klei_ko 3 месяца назад +1

    7 MINS EARLY LEZZ GOO

  • @lzk_official5122
    @lzk_official5122 3 года назад

    Thank you :)

  • @GNew0
    @GNew0 2 года назад

    sorry, am i missing something or did he just forgot to put the "1" in 13:58 when he does -2/sqr(13) times sqr(13)/sqr(13), shouldnt it be -2sqr(13)/13 and not -2sqr(13)/3????

  • @SasaleminMoAko
    @SasaleminMoAko 5 лет назад

    Thank you!

  • @kriseros6794
    @kriseros6794 2 года назад

    Is theta always gonna be close to x and y axis?

  • @wallgolfing
    @wallgolfing 3 года назад +3

    Jesus Christ is Lord and King and Our Savior

  • @alexbulanadi950
    @alexbulanadi950 4 года назад

    Why is typing the whole equation i.e 30/tan(30) will give me a different answer instead of computing what is tan30 first then divide it by 30ft (27:45)

  • @Engineering-To-Infinity
    @Engineering-To-Infinity 3 года назад +1

    13:58 got me questioning myself, it must be a mistake.

  • @tishatupaz5349
    @tishatupaz5349 4 года назад

    How do you find sin A and Sin B, cos A and cos B, and tan A and Tan B?

  • @norwinaganibo9379
    @norwinaganibo9379 7 лет назад +4

    may sound a bit random but.. what app did you use to draw things like that? thanks

  • @keyzsawake353
    @keyzsawake353 4 года назад +2

    This should be how the school teaches not the way they teach at the moment which just making simple things complex but useless. F

  • @mastr.ninebo
    @mastr.ninebo 2 года назад

    yessir ✍🏾

  • @yuri-ct4nr
    @yuri-ct4nr Год назад +7

    Jesus Christ im failing this exam

  • @kebijk281
    @kebijk281 2 года назад +1

    How come at 13:57it becomes over 3

  • @kas.razi_
    @kas.razi_ 4 года назад +1

    I. LOVE. YOU

  • @hinaojenamo8101
    @hinaojenamo8101 7 лет назад

    Thank you, you are the best

  • @eliya7864
    @eliya7864 4 года назад

    thank you sm

  • @sweetpyscho2002
    @sweetpyscho2002 6 лет назад +26

    Why is it over 3 😂 -2squareroot of 13 over 3

    • @mattmcgrew3291
      @mattmcgrew3291 6 лет назад +1

      yeah what lol confused and came down here

    • @betomaldonado2933
      @betomaldonado2933 5 лет назад +3

      It was probably a mistake?

    • @YonikMalik
      @YonikMalik 5 лет назад +4

      It was a mistake it should be 13 cuz the square roots cancel out

  • @francise.j.verzosa710
    @francise.j.verzosa710 5 лет назад

    Salamat po :))

  • @jamieferrer3269
    @jamieferrer3269 3 года назад +2

    Trigonometry: The Movie

  • @Anya-ou3tk
    @Anya-ou3tk 3 года назад

    I learned some of those in 9th grade