How To Find The Exact Values of Trig Functions

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  • เผยแพร่เมื่อ 9 ก.พ. 2025
  • This video explains how to find the exact values of trig functions such as sine, cosine, and tangent using the 30-60-90 and 45-45-90 reference triangles and using SOHCAHTOA.
    Trigonometry - Free Formula Sheet: bit.ly/47diggI
    Trigonometry Video Lessons:
    www.video-tuto...

ความคิดเห็น • 286

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +19

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

  • @hawkmothh4765
    @hawkmothh4765 3 ปีที่แล้ว +1697

    You taught me in 12 minutes what my teacher couldn't in 6 weeks... from all the people learning this the night before a test, thank you!

    • @maxleigh781
      @maxleigh781 3 ปีที่แล้ว +12

      w

    • @Crickethighlights786-d6u
      @Crickethighlights786-d6u 2 ปีที่แล้ว +7

      w

    • @kylehartico4926
      @kylehartico4926 2 ปีที่แล้ว +15

      Nah, this taught me what my teacher never taught me which I need to know

    • @lukeboyle5342
      @lukeboyle5342 2 ปีที่แล้ว +4

      Honestly. Been searching TH-cam for hours for examples like these. Thank God!

    • @bigman6780
      @bigman6780 2 ปีที่แล้ว +1

      why do i feel exposed by sympathetic

  • @roseey2706
    @roseey2706 3 ปีที่แล้ว +766

    OMG WHY THE HECK DO TEACHERS OVER COMPLICATE THINGS WHEN THIS MAN LITERALLY EXPLAINED IT IN 2 MINS!??? THANK YOU FOR SAVING MY FREAKING LIFE!!!!!!!!!!!!

    • @rishikasarma9577
      @rishikasarma9577 3 ปีที่แล้ว +4

      True!

    • @aryendrachaudhary5212
      @aryendrachaudhary5212 3 ปีที่แล้ว +25

      12 min video btw

    • @l0oji_7
      @l0oji_7 3 ปีที่แล้ว +4

      THATS WHAT IM SAYING DMSKKSKSKA

    • @varsha_2459
      @varsha_2459 3 ปีที่แล้ว +4

      U r studying hard ik u want to go to Korea 🤪💜

    • @SubZeRoy9
      @SubZeRoy9 3 ปีที่แล้ว +9

      It's simple.
      The more they complicate things, the harder classes are. The harder classes are, more students fail. More students fail, more students retake classes.
      Students retake classes = money.
      or
      Some professors with egos think
      Harder classes = bigger penis

  • @helen-fk4bf
    @helen-fk4bf 11 หลายเดือนก่อน +78

    his monotone ‘why does this keep happening’ killed me lmaoo

  • @lillipad67
    @lillipad67 ปีที่แล้ว +101

    This is the absolute best explanation of the basics of trig for people who have a visually-oriented learning style. Thank you so much.

    • @therealjsnite3087
      @therealjsnite3087 ปีที่แล้ว

      Yeah I don’t understand very much taught in school so I have to look at videos on TH-cam because they explain and provide examples so well I am able to understand

  • @diamondcrazer7928
    @diamondcrazer7928 5 หลายเดือนก่อน +8

    This is the most helpful video on trig I’ve seen. I’m a sophomore in college taking calculus and still didn’t know how to do trig until this video.

  • @austinerickson6741
    @austinerickson6741 3 ปีที่แล้ว +35

    "This computer has issues" quote from the organic chemistry teacher. 6:16 to 6:28 is my faviorte part of this video lol. Good job at explaining this concept. Most teachers make these kind of things so difficult to understand.

    • @Adam_smash3r
      @Adam_smash3r 3 ปีที่แล้ว +4

      I chuckle a little in those time stamp tbh😆😆

    • @TheEGod.
      @TheEGod. ปีที่แล้ว +1

      When I heard that I instantly knew I've watched this video before. Its so rememberal.

  • @drpkmath12345
    @drpkmath12345 4 ปีที่แล้ว +213

    Good job man! Trig is interesting yet many studens are struggling with the most! Good explanation

    • @Capitan_Chaos
      @Capitan_Chaos 2 ปีที่แล้ว +3

      I had a hard time understanding trig and still do and came to the conclusion that it would have been easier to understand if my professor had explained this to me on day one.

  • @davidadewumi619
    @davidadewumi619 4 ปีที่แล้ว +40

    Best Math tutor ever with a cool and calm voice 🙌🙌
    You're my inspiration 😇💪
    For the co-terminal angles...
    The multiple of 360 closest to the number in question could be used to get the co-terminal angle a bit faster.
    Who agrees with me??

  • @aaa201oh
    @aaa201oh 4 ปีที่แล้ว +380

    Why don't they teach us that way at school??? Cuz it's sooo easy and understandable now! Thank you

    • @jhonaflororita4655
      @jhonaflororita4655 4 ปีที่แล้ว +6

      I agree to you 🙃

    • @NganTran-se2ip
      @NganTran-se2ip 4 ปีที่แล้ว +10

      How do you think they make money?

    • @quinevere
      @quinevere 4 ปีที่แล้ว +27

      @@NganTran-se2ip taxes. they can still teach us an easy way and fill in with other math in the curriculum

    • @rnichigan-tt
      @rnichigan-tt 3 ปีที่แล้ว +1

      1000% agree

    • @alejandropeshkov5221
      @alejandropeshkov5221 3 ปีที่แล้ว +8

      My teacher was making us use a circle instead and memorize where everything went, this makes it a lot easier

  • @unclek2111
    @unclek2111 2 ปีที่แล้ว +25

    Crazy how i am learning trigonometry in less than 15 minutes when my teacher spent a week teaching us and still didn’t make it easy to understand. This man is a legend. 🙏🏼

  • @jize4101
    @jize4101 3 ปีที่แล้ว +12

    This Channel literally walked me through my entire academic path.

  • @zephyr1327
    @zephyr1327 3 ปีที่แล้ว +34

    You have single-handedly cleared all my doubts, and for that I am thankful.

  • @chepaulinus2495
    @chepaulinus2495 4 ปีที่แล้ว +2

    If you find science boring you, means you're learning from the wrong teacher, sir you're the best cause you make science super interesting, thanks very much.

  • @anotherfacelessname9270
    @anotherfacelessname9270 2 ปีที่แล้ว +1

    I could not figure this out for the life of me, and then I found this video and got it instantly! My teacher couldn't get through to me on this! Thank you so much! This is a life saver!

  • @zephyrbernier1858
    @zephyrbernier1858 2 ปีที่แล้ว +4

    My Trig final is tomorrow and this is the one thing I had left to go over, so glad I could find this. No clue why I was never able to understand this, it's so simple seeing it this way lmao

  • @raulrueda1882
    @raulrueda1882 3 ปีที่แล้ว +5

    I studied electronics engineering and worked several years in my field, but finally decided to teach math and physics in school about 17 years ago. When started, I used this type of explanations (excepting SOHCAHTOA). Of course, they were straightforward and effective, but I was instructed by my coordinator not to do it that way because the aim is to teach math reasoning, not memorization (and SOHCAHTOA is mnemotechnic). Ever since I have been struggling with math-hater students who kind of demand the easy way of learning. Well, after explaining the math concepts and principles behind, I use this method in remedial sessions. Of course, students get it right away. Alumni who shared their experiences at university refer that what seemed to be a disadvantage at the beginning turned into an advantage because they could understand better what was going on. Don't get me wrong: the explanation is great and I found a couple of tips for my classes.

  • @Trynnagetmydegree__
    @Trynnagetmydegree__ ปีที่แล้ว

    omg dude you are a lifesaver man. I have not done trig in like 4 years man, I took Precalc when I was a Junior in Highschool. Really needed that refresher, thank you ever so much man

    • @effortless4588
      @effortless4588 8 หลายเดือนก่อน

      Did you get the degree?? wishing you the best!

  • @sanopann1896
    @sanopann1896 ปีที่แล้ว +1

    the only way to help this guy back is to watch the ads that popping out on his video and I'm going to write this comment to all of his video for you to know you can help him back by just watching his ads

  • @Thatmattdoe
    @Thatmattdoe 2 ปีที่แล้ว +1

    4 minutes in, it just solved me 2 test problems.... thank you my good friend!!!

  • @georgesadler7830
    @georgesadler7830 3 ปีที่แล้ว +3

    MR. Organic Chemistry Tutor, once again this is another solid video on finding The Exact Values of Trig Functions.

  • @johnangelosoriano1076
    @johnangelosoriano1076 4 ปีที่แล้ว +12

    I coincidentally have an exam about this topic today. Thank you for doing this video man.

  • @justin-en
    @justin-en 2 ปีที่แล้ว +3

    This was great. I'm used to seeing triangles on the unit circle an hypotenuses of length 1. I got very confused when I saw a triangle with a hypotenuse of 2. Then I realized you just stretched everything to a factor of 2 which made me think more about it. It was great.

  • @Pranav0508
    @Pranav0508 ปีที่แล้ว +3

    We, students, have been blessed by the gods because of your presence

  • @melvin.r.t8571
    @melvin.r.t8571 4 ปีที่แล้ว +33

    My teacher is good and All, but there are something's that teachers cant explain to students but only ULTRA LEGENDS can

  • @CakeSlime
    @CakeSlime 2 ปีที่แล้ว +1

    I was looking at stocks for 4 minutes instead of my teacher doing this, thanks so much for the help.

  • @jung9768
    @jung9768 2 ปีที่แล้ว

    Honors pre calc here we went over this in like less than a week and thanks a lot for saving me for this upcoming quiz.

  • @meme-xn6wr
    @meme-xn6wr 2 ปีที่แล้ว

    Listen man. I've got a test tomorrow, and you, you absolute fucking legend you, just saved that grade. Not only so I no longer have to memorize where radians are on the unit circle, but I can convert to degrees so much quicker. My teacher failed to connect the relevance of those two triangles to the problem. Thanks homie.

  • @odinpichette7382
    @odinpichette7382 10 หลายเดือนก่อน

    I know that this video is older and everyone else has said this, but wow. You really are insane at teaching stuff

  • @ferielovette595
    @ferielovette595 3 ปีที่แล้ว

    I found a lot of videos honestly from yt but this is the most clear. Thank u!

  • @mikkiedupreez553
    @mikkiedupreez553 11 หลายเดือนก่อน

    Mate your a life saver currently diong civil engineering and mate you help me alot.

  • @edgaropts5257
    @edgaropts5257 2 ปีที่แล้ว

    I was so confused by my teacher. You explain it so clearly. Thanks

  • @koulee2014
    @koulee2014 ปีที่แล้ว

    i just wasted one hours of my instructor explain this crap from the moon and back i can't understand it. after 15min of your videos it make so much sense.

  • @younissumaling8744
    @younissumaling8744 4 ปีที่แล้ว +3

    ur better than all my math teachers combined

  • @martynn-i2m
    @martynn-i2m 4 ปีที่แล้ว +2

    I hope jg likes my comment and how does he know this stuff and I mean all of this stuff but again we need people like him. I watch all of your videos, again I hope he sees this comment and likes it

  • @vaishu1320
    @vaishu1320 ปีที่แล้ว

    That was so simple and easy to understand omg. I swear it was never like that when my teachers explained it-

  • @tabbyblu771
    @tabbyblu771 ปีที่แล้ว +1

    Him.."Why does that keep happening? This computer has issues" Me...🙃😊you talking to me 🙏🌞

  • @creativecloudaddict
    @creativecloudaddict ปีที่แล้ว

    you're literally saving my life. thank you so much.

  • @playmathtutoring9153
    @playmathtutoring9153 4 ปีที่แล้ว +21

    Great video. And I'm not even done watching it yet.

  • @ayalovesyou589
    @ayalovesyou589 2 หลายเดือนก่อน

    I am generally terrible at math and learned more from this than my teacher in almost a full week. THANK YOU LMFAO

  • @bt01702
    @bt01702 3 ปีที่แล้ว +1

    I re-watched my teacher’s video multiple times but still didn’t understand until I watched this video once and I could do my homework 🤭

  • @mrisholukamba1696
    @mrisholukamba1696 3 ปีที่แล้ว

    This is so goood. The man understands it and make it so simple to understand trig

  • @attataqi923
    @attataqi923 4 ปีที่แล้ว +2

    Best ever man i saw teaching❤🙏❤

  • @lajc2580
    @lajc2580 3 ปีที่แล้ว +3

    I wish my teacher would let me use TH-cam tutorial trig equations. They wants us to use their own trig methods and it’s annoying. I wish I can use this method. They talk too fast and I barley understand them.😐 Anyways, thank you for putting this out, It means a lot.

  • @jsn8715
    @jsn8715 3 ปีที่แล้ว

    This literally negates the need for remembering the ASTC rule and doing calculations. Thankyou :)

  • @hype_beats
    @hype_beats ปีที่แล้ว

    bro you help me a lot. I am watching it 16hr before the exam

  • @lo0orii.studyyy514
    @lo0orii.studyyy514 ปีที่แล้ว

    thank you so much for this vid!! i was so lost before but now I have an actual understanding of how to do this

  • @fwoopp9777
    @fwoopp9777 2 ปีที่แล้ว

    Not the hero we deserved, but the hero we needed

  • @roshjoberts3248
    @roshjoberts3248 4 ปีที่แล้ว +7

    Damn you’re pumping out the vids!
    I’ll check them out if I ever need help

  • @verlure9232
    @verlure9232 7 หลายเดือนก่อน

    You are a hero. Have an amazing day

  • @c.f.7408
    @c.f.7408 4 ปีที่แล้ว +4

    Thank you I have to learn Trig over summer for calculus :)

    • @vincebutolder9921
      @vincebutolder9921 3 ปีที่แล้ว

      Wouldn’t it be easier to know calculus before trig

    • @fos1451
      @fos1451 ปีที่แล้ว

      ​@@vincebutolder9921 no

  • @jtbonilla7745
    @jtbonilla7745 11 หลายเดือนก่อน +1

    Bro just casually saved my semester grade.

  • @Xmotivation8
    @Xmotivation8 4 ปีที่แล้ว +2

    You r absolutely amazing
    I struggled prior to this in trigo

  • @rishikasarma9577
    @rishikasarma9577 3 ปีที่แล้ว +5

    In India, our teacher taught us trigonometry functions as -" Pandit Badri Prasad, Hare Hare Bole"
    as - P | B | P
    -------------
    H | H | B
    Sin= P/H ,
    Cos= B/H
    Tan= P/B
    Hope it helps!!

  • @robertriddle9115
    @robertriddle9115 3 ปีที่แล้ว

    you're the greatest to ever do it thank you so much

  • @anizihn
    @anizihn 3 ปีที่แล้ว +1

    THIS VIDEO REALLY HELPED THANK YOU SO MUCH 🤗💖👑

  • @Kritux
    @Kritux ปีที่แล้ว +2

    6:17 computer has some beef with this guy...

  • @georgeredfern5526
    @georgeredfern5526 ปีที่แล้ว

    Thank you so much. I was real pressed abt this topic the day after we learned it and you helped a lot!

  • @ornimo9392
    @ornimo9392 2 ปีที่แล้ว

    Thank you man for saving us 😍❤️❤️❤️♥️♥️♥️❤️❤️❤️

  • @modix699
    @modix699 4 ปีที่แล้ว +4

    Thank you! I really can't express how helpful you are!

  • @oliviacole9435
    @oliviacole9435 3 หลายเดือนก่อน

    Wow so helpful I finally understand!

  • @moonson8804
    @moonson8804 4 ปีที่แล้ว +5

    Need more info for electrical engineering calculations, power factor of 3 phase systems for example, thanks for all your videos

  • @gunay5105
    @gunay5105 4 ปีที่แล้ว +2

    Thank you,teacher
    You have 1,77 millions student

  • @UygarGumus-d2r
    @UygarGumus-d2r ปีที่แล้ว

    You are a angel man, Thank you.

  • @JOSEPHDONGULYE
    @JOSEPHDONGULYE 10 หลายเดือนก่อน

    Make it so simple to grasp...
    Thanks...

  • @K.immi.e
    @K.immi.e 2 ปีที่แล้ว

    you saved a soul thank you🙂❤

  • @stripeyghost3054
    @stripeyghost3054 5 หลายเดือนก่อน

    Thank you. This helped SO MUCH

  • @fall1307
    @fall1307 ปีที่แล้ว

    oh my god. you're the saviour

  • @lazyfrog4782
    @lazyfrog4782 ปีที่แล้ว

    was stuck on a question similar to these and I fully understood it after watching. Thank you so much

  • @dianafernandaa
    @dianafernandaa 3 ปีที่แล้ว

    YOU’RE A LIFESAVERRR

  • @whitneyjoseph3246
    @whitneyjoseph3246 3 ปีที่แล้ว +1

    You are so helpful, Thank You.

  • @assass6567
    @assass6567 3 ปีที่แล้ว

    you absolute unit bruhv !!! subscribed and liked

  • @chikabeatricenneji1717
    @chikabeatricenneji1717 3 ปีที่แล้ว +1

    Thanks for the lesson

  • @adrianna1227
    @adrianna1227 9 หลายเดือนก่อน

    Bro taught me everything my teacher spent 3 weeks trying to in no sh*t- first 4 minutes of the video ☠️

  • @ayeshamariyam6568
    @ayeshamariyam6568 ปีที่แล้ว +1

    1:54 when we write cos(5pi/6) does than mean the value 5pi/6 is radian then, why dont we write 5pi/6 rad , like we write 30degrees ? Idk if i sound stupid but…….

    • @conariestbene9125
      @conariestbene9125 ปีที่แล้ว +1

      I'm pretty sure if it has "Pi" in it at all then it is understood that it's in radians, so you wouldn't have to put rad after.

  • @desmondfromlost
    @desmondfromlost 3 ปีที่แล้ว

    Trying to figure this out before my exam tomorrow

  • @michaellai6619
    @michaellai6619 2 ปีที่แล้ว

    Omg u just saved my life

  • @NonsensicalLearner
    @NonsensicalLearner ปีที่แล้ว

    THANK YOU i understand now🍀

  • @clarrrisaj8520
    @clarrrisaj8520 2 ปีที่แล้ว

    literally saving my math grade rn

  • @alhajimodumuhammad9025
    @alhajimodumuhammad9025 4 ปีที่แล้ว

    My best tutor

  • @sammedpatil8309
    @sammedpatil8309 2 ปีที่แล้ว

    By watching the thumbnail at first , I did :-
    Radian to degree conversion by multiplying the given value by 180/π
    10π/3 x 180/π = 600°
    Sin 600°
    Sin ( 630° - 30° )
    Since 630° lies on Y-axis on trigonometric functions graph , sin will get converted into cos . Given angle(600°) will be in 3rd quadrant , so cos will be -ve . Hence final value will be:. -COS 30° = -(√3/2)
    But your method is easier ...

  • @Alexandra-ms2pp
    @Alexandra-ms2pp 2 ปีที่แล้ว

    I cannot thank you enough…. This seemed impossible to learn from my teacher

  • @DanoshTech
    @DanoshTech ปีที่แล้ว

    If only my teacher taught this to us. But we are literally graphing cos, sin and tan graphs

  • @mysteretsym
    @mysteretsym 3 ปีที่แล้ว

    Thank you so much man this is much appreciated

  • @renilroby4477
    @renilroby4477 2 ปีที่แล้ว

    Well Done Lad.

  • @jeanettteboyne7500
    @jeanettteboyne7500 3 ปีที่แล้ว

    This video is excellent. Thank you for the help!

  • @ferris9964
    @ferris9964 11 หลายเดือนก่อน

    Oh my god my dumbass teacher could've just played this video instead of wasting my time explaining for 2 hours. Thank you.

  • @queenapple9012
    @queenapple9012 4 ปีที่แล้ว

    This makes so much sense.

  • @salamondicrabs6202
    @salamondicrabs6202 3 ปีที่แล้ว

    This man is amazing !

  • @almaalmasarwah7638
    @almaalmasarwah7638 3 ปีที่แล้ว

    Thank you so much this really helped

  • @nataliemc3291
    @nataliemc3291 5 หลายเดือนก่อน

    Thank you, thank you, thank you!!!!!

  • @toodles8397
    @toodles8397 3 ปีที่แล้ว

    Yo i love this man- if u can teach a dunce like me im saved

  • @alanarcher
    @alanarcher ปีที่แล้ว

    When you watch this kind of video, with this kind of explanation, and you compare it to what 99.9% of all people are subjected to in school, you quickly realize why math and science are the most traumatizing subjects for people to get exposed to.

  • @shirlsies
    @shirlsies 3 ปีที่แล้ว

    This is some powerful stuff.

  • @chaseh.9040
    @chaseh.9040 4 ปีที่แล้ว

    Thank you so much! This is very helpful.

  • @thomasconlin6633
    @thomasconlin6633 ปีที่แล้ว

    Your the G.O.A.T🔥

  • @unclek2111
    @unclek2111 2 ปีที่แล้ว

    Actual life saver

  • @ttangerine485
    @ttangerine485 ปีที่แล้ว

    Dude you're awesome

  • @paawanchhabra
    @paawanchhabra 4 ปีที่แล้ว

    Thankyou very much my guy! You helped a lot :-)

  • @benedicti1767
    @benedicti1767 4 ปีที่แล้ว

    Thank u so much man👏🏾