Master Evaluating the inverse of trigonometric functions without a calculator

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  • Опубликовано: 16 окт 2024
  • Subscribe! www.freemathvid... Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter and section. The purpose of posting my free video tutorials is to not only help students but allow teachers the resources to flip their classrooms and allow more time for teaching within the classroom. Please feel free to share my resources with those in need or let me know if you need any additional help with your math studies. I am a true educator and here to help you out.

Комментарии • 219

  • @professionalbiologist7108
    @professionalbiologist7108 6 лет назад +249

    Our society would crumble without this man.

    • @brianmclogan
      @brianmclogan  6 лет назад +30

      haha, happy to be able to contribute

    • @shafimishtiaq3587
      @shafimishtiaq3587 4 года назад +6

      @@brianmclogan
      this empty earth needs more people like you
      my words cant express my gratitude,
      u will always be in my prayers,
      god bless you (lov)

    • @YLprime
      @YLprime 4 года назад +1

      @@shafimishtiaq3587 that;s a bit too much he's not Albert Einstein.

    • @shafimishtiaq3587
      @shafimishtiaq3587 4 года назад +4

      @@YLprime
      agreed
      but at least he is trying to take some out and help students he doesn't know! i was just appreciating that!

    • @jaredmartin8944
      @jaredmartin8944 3 года назад

      Thanks alot @Brian McLogan

  • @Jadevhn
    @Jadevhn 7 лет назад +56

    Very easy to understand and very helpful to me. Thank you so much!

  • @jpconley5618
    @jpconley5618 7 лет назад +27

    Thank you. I wish my teacher had explained this topic as easily as this.

  • @differentstringspodcast
    @differentstringspodcast 5 лет назад +12

    Thank you for this video! I'm taking a college-level precalculus class online and the textbook does not do a very good job of explaining these concepts.

  • @booknerd921
    @booknerd921 5 лет назад +1

    I am taking trig currently and our professor teaches in a very conceptual way; this type of lecture is lifesaving so that I can understand concepts better. Thanks so much for your videos!!!

  • @julierimer4544
    @julierimer4544 7 лет назад +2

    Fantastic explanation of a very confusing topic. I watched a half-dozen videos and didn't get this concept until I found your video. You made it crystal clear. Thank you so much!!

    • @brianmclogan
      @brianmclogan  7 лет назад +1

      you are very welcome! Happy to help

  • @SammyMackD
    @SammyMackD 6 лет назад

    Honestly stuck with a fill in sub right now in a college credit class and you have been saving my life. You are so freaking good at explaining not only how to do these things, but WHY you do them. Thank you.

  • @erineickhoff244
    @erineickhoff244 5 лет назад +2

    I'm just about done with Calc 1 and one of the last things we learned was integrals and inverse trig functions...needed a refresher, thank you for putting these out there!

  • @brandenkassab3689
    @brandenkassab3689 6 лет назад +68

    honestly the only reason I'm passing college precalculus

  • @austinkennedy9155
    @austinkennedy9155 5 лет назад +4

    You my sir are the man! I think ive watched every video on Trig Functions and with this Ochem final coming up on top of this has helped tremendously! Keep uploading man! Your doing a huge favor to SOO many people in the same boat as me! Much love!

  • @angelcontreras1137
    @angelcontreras1137 3 года назад +1

    I’ve been using your videos to help me since I discovered you in geometry. I’m currently in trigonometry and will be taking pre calculus in the spring and I will continue watching your videos to help me then as well. You explain everything so well! I’m from SoCal hoping to become an aerospace engineer ,but just wanted say thank you for helping us all with your videos!

  • @tb2748
    @tb2748 5 лет назад +8

    could you make a video showing how to evaluate cosecant inverse, secant inverse, and cotangent inverse?

  • @KasonDS92
    @KasonDS92 5 лет назад +1

    Brian, you are my hero! I'm majoring in Computer Science and this is my first semester back after being out of school for 4 years! I had to drop out to work 2 jobs. So I came into this class clueless, but your videos are the only thing that is making me actually understand this material. You're incredible, man!

    • @jordankerr1
      @jordankerr1 8 месяцев назад

      Did you end up graduating?

  • @jamesruz6684
    @jamesruz6684 3 года назад

    literally had no idea how inverses work, but after watching this video, oh wow that was satisfying to learn. even 6 years later, this video never fails to educate people like me. thanks brian!

  • @JLFish21
    @JLFish21 7 лет назад +2

    Huge help!! I was lost and trying to find inverse trip functions quickly so I can sleep.. exam in the am and you completely cleared it up!!! Thank you so much!

  • @mihirjavkar2133
    @mihirjavkar2133 6 лет назад +1

    Thank you so much Brian! This definitely helped me understand and give me the upperhand on my quiz.

  • @dr.jenkem7574
    @dr.jenkem7574 3 года назад +1

    I’m giving another like because one just isn’t enough 👍🏼

  • @user-gj7hw3xy7w
    @user-gj7hw3xy7w 7 лет назад +4

    Thank you so much, just the video I was looking for to clear things up!

  • @josedomitilo805
    @josedomitilo805 7 лет назад +12

    thank you sir, you explained it a lot better than my professor

  • @luckyfriend82
    @luckyfriend82 2 года назад

    This was explained so well! I definitely understand it better now, thank you so much!

  • @clairemc5845
    @clairemc5845 7 лет назад +15

    man if I an algebra teacher like you I would ace the algebra sections of my tests

    • @brianmclogan
      @brianmclogan  7 лет назад +2

      let me know if there is anything else I can do to assist you with your work

  • @eliashatescomm
    @eliashatescomm 6 лет назад +1

    the best explanation of inverse trig. functions i have found. thank you so much!

  • @faridmushfiq1947
    @faridmushfiq1947 4 года назад +1

    Thank you sir, I wish I could had a teacher like you in my school time.

  • @lanjack71
    @lanjack71 3 года назад

    The title is not wrong, this is a mastering lesson. Much appreciated.

  • @seanmartinez50
    @seanmartinez50 Год назад

    It took me literally a month to understand this concept and it all just made sense because your drawing and showing the range

  • @OfKingsXI
    @OfKingsXI 7 лет назад +1

    I was only a minute and 7 seconds in and I went from barely knowing anything to knowing how to figure all of it out
    THANK YOU SO MUCH YOU TRULY ARE A MATER

  • @shhshs7798
    @shhshs7798 3 года назад

    Im a literary crying because i dont i dont how to answer it but, when i saw this video this give some information that will help me a lot on solving these trigonometric expression. Thank you for sharing this!💙

  • @scarlettbarnett5622
    @scarlettbarnett5622 5 лет назад

    You can explain this better than my college Pre-Cal professor. You are awesome! Thank you.

  • @ShotgunRumble
    @ShotgunRumble 5 лет назад +13

    if this man was a counselor... I bet his Evaluation of my parent's relationship would have stopped that that divorce

  • @tofuubunnyy
    @tofuubunnyy 7 лет назад

    Can you just come to my school and be my teacher? lol i love the way you go into dept on each problem and explain thoroughly, I really appreciate this so much. My teacher has been trying to explain this concept to me for 3 days and yet, I had no clue as to what I was doing. You, on the other hand, took less than 20 mins and i feel like i could take the final. Keep up the work Mr. McLogan!!

    • @brianmclogan
      @brianmclogan  7 лет назад +3

      very happy that I am able to help you out. So sorry for your troubles this year but very happy to be able to assist you.

  • @yabgdouglas6032
    @yabgdouglas6032 7 лет назад +5

    Thank you so much! Saved my life before a test!

  • @brunam.6356
    @brunam.6356 3 года назад

    thank you so much I was struggling with that, then I came across your video and I finally understand

  • @kevinle9249
    @kevinle9249 5 лет назад +1

    This was so helpful, thanks professor!

  • @samanthalippa5411
    @samanthalippa5411 7 лет назад +8

    You do a good job of explaining the exact reasons for everything which is one of the harder things to convey in math to a person who isn't very math literate. I just want to say that I have watched like, 3 of your videos now and, I think its so funny that you always act surprised when you write something down wrong or 'misspeak' because you do it so often. Ur like "just gonna check something here, oh, I wrote it down wrong, HMM, that's funny" - but you must have ADD or something because you do it often. "Which one is this?...OH! I wrote down the wrong one." lol. It makes me laugh. It's actually a compliment because when teachers do that- I'm done trying to understand them. However you do a good explanation job and I can still understand you. OK, that is all. Have a good one, and thanks.

    • @brianmclogan
      @brianmclogan  7 лет назад +4

      haha thank you Samantha for making my night, don't you know us teachers are crazy? let me know if there is anything else I can do to help you with your math

    • @samanthalippa5411
      @samanthalippa5411 7 лет назад +1

      Brian McLogan. Can you take my tests for me? :)

    • @brianmclogan
      @brianmclogan  7 лет назад +7

      no, I hate tests, I am human too : )

  • @dinahacademia4731
    @dinahacademia4731 3 года назад +1

    I heard what you said in the last minute, man 😂. Anyways, I always admired how straightforward this video is, thanks! totally understandable, helped my ass out of this pre-calculus module.

  • @aliyahdalier4011
    @aliyahdalier4011 6 лет назад +2

    You just saved me from failing my pre-calculus midterm tomorrow. Thank you tons!

  • @susita1973
    @susita1973 6 лет назад

    WOWEE Brian, you saved my life. Such a clear explanation!!!!!! THANK YOU

  • @bella63202
    @bella63202 6 лет назад

    THANK YOU SO MUCH, YOU MAKE SO MUCH SENSE AND YOU HAVE REALLY SAVED ME!!!!

  • @nayahejazi7668
    @nayahejazi7668 3 года назад

    you are an amazing professor!!!!

  • @kapersad1
    @kapersad1 3 года назад

    You are so helpful, thank you sooooo much!

  • @VedicGemstoneTherapy1027
    @VedicGemstoneTherapy1027 3 года назад

    Sir please show with uncommon fractions for example 1/6, 5/7...it would be extremely helpful..
    Appreciate your Teaching...No offense

  • @savannahelisehammick5244
    @savannahelisehammick5244 8 лет назад

    You are awesome thank you so so much!!! Been trying to understand this since trig and in AP calc now and i finally got it!!!

    • @brianmclogan
      @brianmclogan  8 лет назад +1

      awesome! happy to be able to help you out!

  • @mikepearson1057
    @mikepearson1057 9 дней назад

    When you state you are restricting the "range," think you are referring to the domain. Am I correct?

  • @labmanatlarge
    @labmanatlarge 4 года назад

    Quick Question: At 0:16 could you put the video of you doing those functions in the info card?

  • @ryanv1994
    @ryanv1994 5 лет назад

    This was so helpful thank you Mr.McLogan!

  • @kabotshupeng3707
    @kabotshupeng3707 3 года назад

    Our society will crumble without this man

  • @thomasc4191
    @thomasc4191 5 лет назад +2

    This guy is straight up a God.
    Thank you, you saved my math grade and explain things way better than my teacher

  • @bombasticbrian.
    @bombasticbrian. 7 лет назад

    Amazing video! I gotta prep for Calculus next year so thanks!

    • @brianmclogan
      @brianmclogan  7 лет назад

      awesome! I have Calc videos as well, hope I can help out!

    • @bombasticbrian.
      @bombasticbrian. 7 лет назад

      Free Math Videos Will do

  • @HatakeKakashii77
    @HatakeKakashii77 4 года назад

    Hey guys i have a question regarding his explination.
    Why some inverses are not true becuae they are "outside of the range? what range exactly?

  • @UnbornFamas
    @UnbornFamas 5 лет назад

    Hi all, can anyone help me understand this, so Brian said that pi/4 is equal to the square root of 2 divided by 2.
    Now when I divide pi by 4 I get an output of = (0.7853...) however when I square the root of 2 then divide it by 2 I get an output of = (0.7071...) this is of by .853, which is roughly a full unit of 1, meaning the square root of 2 divided by 2 is off by roughly 1 unit to pi/4.
    Is this meant to be accurate or is it ok to be off by such a small scale?

  • @chae5833
    @chae5833 5 лет назад

    Excellent! Thanks, Brian of fighting the good fight.

  • @AndrewLee-wl6cn
    @AndrewLee-wl6cn 5 лет назад

    This was so much help. Thanks!

  • @meetgondaliya703
    @meetgondaliya703 4 года назад

    Totally understandable video....

  • @salamaalshamsi3323
    @salamaalshamsi3323 5 лет назад

    Thank you 😊 for helping me understanding my teacher notes better ( yay 😁 now I am not confused 🤷‍♀️)

  • @somnathsinha9429
    @somnathsinha9429 3 года назад

    Thank you sir for helping me 😄😊...!!

  • @hiboohlover
    @hiboohlover 7 лет назад

    i never comment on videos but this has helped me so much! thank you!

    • @brianmclogan
      @brianmclogan  7 лет назад

      you are very welcome! happy to be there for you

  • @Brittniepimental
    @Brittniepimental 6 лет назад

    Excellent explanations! but just a few small mistakes (eg tan is negative in 2nd and 4th quadrants not third and fourth :) )

  • @marcus3435
    @marcus3435 5 лет назад

    curious, but do you have a quick way to fill the unit circle out? i was thinking that putting the angles and then converting to radians.

  • @lachlan7021
    @lachlan7021 7 лет назад

    you just saved me hours of tutorials at school. thanks

  • @ammarbamhdi
    @ammarbamhdi 6 лет назад

    @Brian McLogan
    U are the Master !

    • @brianmclogan
      @brianmclogan  6 лет назад

      Happy to be able to help you out Ammar

  • @Slattery777
    @Slattery777 7 лет назад

    Really appreciate what you do thanks for the help

  • @lamontebritt2210
    @lamontebritt2210 5 лет назад

    Great lesson.

  • @UnbornFamas
    @UnbornFamas 5 лет назад

    Hellooo? anyone? Also when I do the reverse function of 0.707... I get a angle of 45 degrees? however when I divide Pi by 4 I get 0.7853... when reverse sin it gives me 51.75 degrees? what is up with that? why do the calculations clash and cause a roughly 6 degree difference?

  • @ahmedaly411
    @ahmedaly411 8 лет назад

    This video really helped for my university entrance exam. Thank you sir.

  • @louisnine6629
    @louisnine6629 6 лет назад +1

    Super helpful, thank you very much!

    • @brianmclogan
      @brianmclogan  6 лет назад

      you are very welcome! happy to help

  • @michellec.4291
    @michellec.4291 8 лет назад +1

    Your the coolest dude I know :) thanks for all that you do

  • @SL-yn2gw
    @SL-yn2gw 7 лет назад

    Very very ez to understand , thanks

  • @Mememe1838
    @Mememe1838 4 года назад

    Very Helpful

  • @jkoonce73
    @jkoonce73 8 лет назад

    So, on the inverse cosine, then I am contained to the top half from pi to 2 pi? I am new to trigonometry and precal. Never having before seen any trigonometry has made my precal class a living nightmare. I have found a lot of help in your videos. The inverses for some reason just give me all kinds of trouble. :(

    • @brianmclogan
      @brianmclogan  8 лет назад

      Happy to be able to help you out. When you take the inverse of sine and cosine the inverse is not a function. So we restrict the domain so that the inverse is a function

    • @brianmclogan
      @brianmclogan  8 лет назад +1

      0-pi restriction

    • @jkoonce73
      @jkoonce73 8 лет назад

      Thank you so much!!!

  • @lexoos3544
    @lexoos3544 7 лет назад +1

    Thank you! This is a great review before the test! :D

    • @brianmclogan
      @brianmclogan  7 лет назад +1

      awesome! happy to be able to help

  • @ShaphanDale
    @ShaphanDale 4 года назад

    Dude. I love you so much rn

  • @madelinefrazier5357
    @madelinefrazier5357 7 лет назад

    I didn't understand this at all in class, but your video helped me have my Ah Ha! moment so thank you so much!!

    • @brianmclogan
      @brianmclogan  7 лет назад

      that is great! you are very welcome!

  • @hanlee1220
    @hanlee1220 8 лет назад

    Thank you so much! It helped me a lot

  • @alancruz2556
    @alancruz2556 5 лет назад

    Way more educational than a worldstar video, yet way less views :(

  • @jadonlimoges1830
    @jadonlimoges1830 4 года назад +1

    Dang, he needs a new mic. Also, great video, from Floridian to Floridian!

    • @EASFromTheWest
      @EASFromTheWest 3 года назад

      from californian to floridian, we have better oranges

  • @jhumibagchi3220
    @jhumibagchi3220 5 лет назад

    Respected Sir how would you find the angle if z=1-4i

  • @drivedoll
    @drivedoll 5 лет назад

    GREAT VIDEO!

  • @megfly2029
    @megfly2029 6 лет назад

    Thank you so much for the help! Now I understand :)

    • @brianmclogan
      @brianmclogan  6 лет назад +1

      awesome! happy to be able to help

  • @hoxide9194
    @hoxide9194 5 лет назад

    I don't really comment, but thanks for making this video Mr.McLogan!

  • @ebokoomson5771
    @ebokoomson5771 7 лет назад

    Thanks ,this really helped me

    • @brianmclogan
      @brianmclogan  7 лет назад

      awesome! happy to be able to assist you

  • @charlenegarica2959
    @charlenegarica2959 6 лет назад

    very helpful thanks master

    • @brianmclogan
      @brianmclogan  6 лет назад

      you are very welcome Charlene! happy to be able to help you out!

  • @sydneytorregano3243
    @sydneytorregano3243 7 лет назад

    for #10 why wouldn't the answer be - pi/6? wouldn't 11pi/6 be equivalent to - pi/6 (-30 degrees) and not -pi/3 (-60 degrees) in the unit circle?

  • @ghadyalrefaie6739
    @ghadyalrefaie6739 7 лет назад

    this really helped..thanks

  • @clairemc5845
    @clairemc5845 7 лет назад

    wow this really helped.....thank you

  • @jona4385
    @jona4385 6 лет назад

    Thank you so much!

  • @anthonyn9096
    @anthonyn9096 7 лет назад

    thank you. that really helped.

  • @maddenflowers6100
    @maddenflowers6100 6 лет назад

    this was so much easier to understand. im gonna give it a try on my homework now. 🤟😆

  • @marsalofficial3271
    @marsalofficial3271 6 лет назад

    Excellent BRAVO

  • @wilmercuevas6491
    @wilmercuevas6491 2 года назад

    What if we don't get the remarkable angles?

  • @gracemathai539
    @gracemathai539 7 лет назад

    i love this video!

  • @willw1561
    @willw1561 7 лет назад

    Great video!

  • @muhammadthaqif8426
    @muhammadthaqif8426 7 лет назад

    Thank you! This really help me! :))

    • @brianmclogan
      @brianmclogan  7 лет назад +1

      awesome! happy to be able to help

  • @22makstar26
    @22makstar26 8 лет назад

    for number 7, how do you know that it straight up would be pi/ 6?

  • @lalaliri
    @lalaliri 6 лет назад

    Thank you!

  • @kennet2282
    @kennet2282 6 лет назад

    Thanks you sir!

  • @ontheway5792
    @ontheway5792 7 лет назад

    Could u tell me why Sin seta=Y,Cosine seta=X ?.... I didn't get that point...

    • @brianmclogan
      @brianmclogan  7 лет назад +1

      It is hard to explain in text, here is a playlist I have covering that ruclips.net/p/PL0G-Nd0V5ZMrfrvBwDY-HIKCv-4FgvAD5

    • @ontheway5792
      @ontheway5792 7 лет назад

      Okay thanks

  • @thobi6639
    @thobi6639 7 лет назад

    Thank you soooo much

  • @vibratingbee
    @vibratingbee 7 лет назад

    I'm a sad person. I never understood what the points ((√3/2), (1/2)) etc. on the unit circle meant until this video. FeelsBadMan Thanks for the other explanations too. It kept confusing me why it would be for #3 -√π /3 and not 4π /3 or 5π /3.

    • @brianmclogan
      @brianmclogan  7 лет назад

      Happy my video was able to break through for you. The reason on #3 is because the answer is within the domain of the inverse function where the last two answers are not. We have to restrict the domain of the sine and cosine or they would not be functions

  • @JesusChrist-tg9qn
    @JesusChrist-tg9qn 6 лет назад

    Any examples with numbers NOT on the unit circle?

  • @frankli4944
    @frankli4944 7 лет назад

    thank you man