Evaluating Inverse Trigonometric Functions

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  • Опубликовано: 21 ноя 2024

Комментарии • 403

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  3 года назад +55

    Trig - Free Formula Sheet: bit.ly/47diggI
    Full 47 Minute Video: www.patreon.com/MathScienceTutor
    Direct Link - Full Video: bit.ly/38r6Bgv

  • @chrisstar2284
    @chrisstar2284 3 года назад +2221

    This channel help me alot since i was in my grade 11, now im in 3rd year college engineering thank you for your hard work

    • @vishnulavudya3160
      @vishnulavudya3160 3 года назад +8

      Oh!😊

    • @nikhilthampi734
      @nikhilthampi734 3 года назад +36

      How is engineering in college btw? I'm a 10th grader using his content for math and it helps a ton

    • @chrisstar2284
      @chrisstar2284 3 года назад +97

      @@nikhilthampi734 ohh hi there! Engineering in college is like a little bit harder especially on the major ones, if you are good at math like calculus on your jhs and shs it's like bonus on your field as a engineering. I suggest master or study basic algebra and trigonometry. Really helpful. But dont worry if you are not good enough in math(just like me) i just ran into this channel and got passing grades during exam hahaha

    • @techgamer6369
      @techgamer6369 3 года назад +4

      @@chrisstar2284 civil engineering?

    • @chrisstar2284
      @chrisstar2284 3 года назад +20

      @@techgamer6369 yes mate! You got it right! Are you a BSCE too?

  • @davidhicks8081
    @davidhicks8081 3 года назад +759

    beating my head against a wall for 5 hours trying to understand what my professor is saying. Halfway through your video and it all makes sense. You are a blessing.

    • @TheRealFredbearPlush
      @TheRealFredbearPlush Год назад +14

      5 more months of this excruciating semester I got this💪🥲

    • @yoylecake313
      @yoylecake313 Год назад +1

      Are you ok?

    • @jah_141
      @jah_141 3 месяца назад

      @@yoylecake313 no

    • @maadb7754
      @maadb7754 18 дней назад

      @@jah_141 real me neither

  • @cr7neymar908
    @cr7neymar908 Год назад +88

    Tell me why this dude is better at teaching than teachers who went to school to be teachers. AND his content is free

  • @gavinc8635
    @gavinc8635 Год назад +69

    I’ve been using this channel as a resource for year in high school and now in my first year of engineer in college I’m still finding his videos so valuable. Thank you so much for creating easy to understand content. We all appreciate it very much

  • @patrickaustin3009
    @patrickaustin3009 Год назад +21

    it cannot be said enough how much of a blessing this channel is. I am taking an online pre calculus class and it is unbearable to try and teach myself everything from the textbook. Rather than show the work, the textbook takes lots of time to explain derivations. It is so annoying. I work full time, am taking another class (biochemistry), shadowing at a hospital, applying to PA school, and next week is finals week. YOU ARE SAVING MY LIFE LOLOL THANK YOU

    • @relawd8085
      @relawd8085 7 месяцев назад +1

      thats super inspiring well done, did you get in?

  • @jennahalcomb7359
    @jennahalcomb7359 2 года назад +94

    This channel is the reason I got accepted into college I swear😂 literally I don’t know why I understand it all 1000% more when it’s explained this way than when my teachers would explain it.

  • @donaldtuten4844
    @donaldtuten4844 3 года назад +624

    Honestly, teachers should be taking notes from you on how to teach via online.

    • @SpaCeDuDexxx
      @SpaCeDuDexxx 3 года назад +31

      BIG FUCKING FACTS OMFG BRO DEADASS. MY ONLINE TEACHERS MAKE EVERYTHING SUPER CONFUSINGGG ON GODDD

    • @GooseCrack
      @GooseCrack 3 года назад +11

      @@SpaCeDuDexxx fr and for what

    • @yuachibi7894
      @yuachibi7894 6 месяцев назад +1

      my prof should watch his videos so he can teach us properly ¯\_( ͡° ͜ʖ ͡°)_/¯

    • @NoahBerhanu-j2m
      @NoahBerhanu-j2m Месяц назад +1

      ongg bro. like they dont even fucking teach, they talk about math for like hour and then by the end they're on somee.."Does everyone understand? 👍👍"

  • @patrickconnolly9807
    @patrickconnolly9807 2 года назад +32

    I know you get a lot of comments like this but truly thank you for this content. My teacher expects us to understand all of this within a 1 hour class time, and thanks to you, I can figure out what to actually do. Thank you so much.

  • @00_heidi4
    @00_heidi4 Год назад +9

    My teacher explains so fast that it ends up leaving me stumped by the end of her lessons, this video allowed me to take my time and pause to understand what was going on (and now I fully understand!) Thank you so much!

  • @jinnjinn5567
    @jinnjinn5567 2 года назад +28

    *Domain of inverse trig functions*
    arcsin [-1, 1]
    arccos [-1, 1]
    arctan (-∞, ∞)
    arccsc (-∞, -1] and [1, ∞)
    arcsec (-∞, -1] and [1, ∞)
    arccot (-∞, ∞)
    *Range of inverse trig functions*
    arcsin [-π/2, π/2]
    arccos [0, π]
    arctan (-π/2, π/2)
    arccsc [-π/2, π/2]
    arcsec [0, π]
    arccot (0, π)

  • @teassister
    @teassister 8 месяцев назад +605

    “we know that __ is equal to __” no i do not know that 😭

    • @MARLONMATTHEWS
      @MARLONMATTHEWS 6 месяцев назад +20

      😂😂😂 literally

    • @greenaesthetic6387
      @greenaesthetic6387 6 месяцев назад +11

      no literally😭

    • @jackwang2808
      @jackwang2808 5 месяцев назад +32

      It's all on the unit circle. My teacher gave my class copies of it and it's very helpful. I suggest printing one out and putting it in your notes if you have them!

    • @nyahchristopher3257
      @nyahchristopher3257 5 месяцев назад +1

      ​@@greenaesthetic6387 tbh struggling

    • @Markopa-gc5nd
      @Markopa-gc5nd 5 месяцев назад

      @@jackwang2808 i dont have to memorize all of that right?

  • @jadencleveland2735
    @jadencleveland2735 3 года назад +64

    I've been struggling in my math and chemistry class for college, and your videos help me so much! Thank you so much for posting them!

  • @llortaton
    @llortaton 8 месяцев назад +6

    IDK why, but I love it when he goes "if you get this answer, *slight pause*, you WILL get it wrong."

  • @pavelgutierrez6940
    @pavelgutierrez6940 3 года назад +9

    It's like you're reading my mind. I was taught this in class THE DAY THIS CAME OUT, didn't understand it. Now I'm doing homework, and this has come in handy. Thanks, man

  • @laurenorourke2442
    @laurenorourke2442 3 года назад +51

    thank you for saving my pre calculus grade!! your videos have really helped me!!

  • @reemavishwanath1046
    @reemavishwanath1046 2 года назад +8

    I can’t tell you how much you help with understanding precalc. Don’t ever stop running highschool math.

    • @Alpha-fc3bo
      @Alpha-fc3bo 9 месяцев назад +1

      im learning this calc 2! LOL

    • @Emmie1223
      @Emmie1223 2 месяца назад

      @@Alpha-fc3bowhat?? this is algebra 2 / pre calc stuff??

    • @Alpha-fc3bo
      @Alpha-fc3bo 2 месяца назад

      @@Emmie1223 Maybe for you, in my whole academic life I've never seen them till college. American schools suck in terms of education

  • @Tmzski32
    @Tmzski32 Год назад +23

    You should note that tan^-1 does not include the pi/2 or -pi/2 for the range, since you would technically be dividing by a zero which is undefined. Therefore, your range for inverse tan is (pi/2, -pi/2), not [pi/2, -pi2].

    • @c4tac133
      @c4tac133 4 месяца назад +1

      I know you meant to say this for the channel owner but thank you for this, it’s helpful to know

  • @NathanProduces
    @NathanProduces 5 месяцев назад +1

    I'm a future mech engineer (doing my MS) and was doing horrible in my classes. Mech-E is all math based, so this channel instant changed my grades around for the better. Thank you so much man!

  • @mildew6579
    @mildew6579 2 года назад +8

    omg i have a test tomorrow and I was sure i was going to fail until I watched this video! thank you so much, i never thought i would be able to understand the concepts until now

  • @cameronleslie3001
    @cameronleslie3001 3 года назад +7

    My teacher can't teach for the life of her so you've been my teacher for the past month. Thanks.

  • @carlosisaac1358
    @carlosisaac1358 3 года назад +8

    Dude you are the goat teacher, you go right into the content. No doodling around, just pure knowledge and skill.

  • @qflexmoves
    @qflexmoves 7 месяцев назад +6

    Broo, you’re really out here doing the Lord’s work! Like God bless you for real. 😢 I was sitting in the library feeling all kinds of frustrated and ONCE AGAIN the OG Chem Tutor saves the day.
    I bet you real life just sitting behind the desk with a cape on. Doing it real big. Your new name is Tutor Teresa. Feeding the intellectually hungry and serving the mentally poor.
    Thank you brother.

  • @justincuozzo5340
    @justincuozzo5340 3 года назад +8

    My math teachers handwriting is so bad I cant understand any of the work she is doing online, you’re saving me from failing

  • @Itz_SJ.studies
    @Itz_SJ.studies 2 месяца назад

    honestly, I'm shocked no one has complemented this guy's voice, i mean the voice itself sets up the mood for studying. You've got a nice voice (if it's a voice filter then also, the way of teaching is excellent)

  • @diposubair4772
    @diposubair4772 2 года назад +2

    literally the best tutor ever been watching your vids since grade 9 and now I'm in first year of uni

  • @morganolivianewton8061
    @morganolivianewton8061 2 года назад +8

    I was so confused, and then you answered my frustration within the first 2 minutes of this video (the arcsin range). THANK YOU!!!! Love your videos.

  • @brightwolfz
    @brightwolfz Год назад +4

    The explanation for range was extremely helpful. I was confused on what was right and what was wrong when there are two answers that look like they could work, but the automated teaching system my college used just said "That's right because it is!" and I was like "but why though?" Thanks for the vid.

    • @nuhanuha5206
      @nuhanuha5206 Год назад

      Same here!! Our teachers are like ordinary text books they don't explain more than that oh really sorry they can't even do that also 😜 but u r legend 😎😎😎

  • @omarantar9132
    @omarantar9132 3 года назад +106

    These dont matter to me but I opened the video just to leave a like since your vids always amazing 😂, thx for your hardwork !

  • @RodahZyambo
    @RodahZyambo 2 месяца назад +1

    He really knows how to explain.Thank you🙏

  • @ahmedp3
    @ahmedp3 Год назад +2

    hello teacher, just making sure, in 11:22 cos 45 is 1 over square root 2, i checked multiple times

  • @xcrusaderofhope5903
    @xcrusaderofhope5903 3 года назад +6

    Perfecting timing to post this video. My teacher just assigned us homework for this topic 😂😂🙌
    Bro this dude is the GOAT!!!! 😤😤🙌🙌

  • @lorenzogurrola6084
    @lorenzogurrola6084 2 года назад +1

    They threw inverse trig equations at me in ACT Math and I wasn't ready! Your video helped me a lot thank you

  • @RA-pu9jo
    @RA-pu9jo 3 года назад +14

    Hey organic chemistry tutor! please release some merchandise with your FULL name on it! I think it would be far more popular than any of the prints you have now. “The organic chemistry tutor” written on a hoodie would be amazing!!!

    • @teahriantyler5527
      @teahriantyler5527 3 года назад +2

      He has merchandise: hoodies, mugs, etc etc..
      The merchant just had JG on it though....not his name :(

  • @rayaa3139
    @rayaa3139 2 года назад

    This channel saved me a lot I have been here since I was in 10th grade now I’m a first year architecture engineering student

  • @zinhlepretty5406
    @zinhlepretty5406 7 месяцев назад +1

    🙏 ur lectures are really helpful to many learners and students

  • @dekuml3484
    @dekuml3484 10 месяцев назад

    BROOOO THIS CHANNEL HELPS ME IN THE JOURNEY OF STEM!

  • @Naruto_Uzumaki_
    @Naruto_Uzumaki_ Год назад

    this channel helped me through HS and now College.

  • @davidlee8306
    @davidlee8306 3 года назад +2

    This channel just helped a 12 year old doing pre-calculus

  • @mikedebrosse1221
    @mikedebrosse1221 2 года назад +1

    Best RUclips channel ever

  • @user-qd7qz4pu1h
    @user-qd7qz4pu1h 3 года назад

    You are life saver , My teacher didn't explain this lesson , He just said "just use the calculator" .

    • @c0ntradmciver124
      @c0ntradmciver124 3 года назад

      lol cant u just do that

    • @moltenmath
      @moltenmath 2 года назад +3

      @@c0ntradmciver124 what if you are lost on a remote island and need to solve a trig problem without a calculator to live

  • @georgesadler7830
    @georgesadler7830 3 года назад +3

    MR. Organic Chemistry tutor, thank you for a well explained and define lecture on the Evaluation of Inverse Trigonometric Functions. These functions pop up in all areas on Mathematics and Engineering.

  • @Lutamyn
    @Lutamyn Год назад

    সরল সহ সমীকরণ এর ব্যপারটাতে মুগ্ধ হলাম🤲❤️

  • @volumptuousman2441
    @volumptuousman2441 8 месяцев назад +1

    You saved my life

  • @pablosesaid5830
    @pablosesaid5830 3 года назад +13

    is there a video on evaluating inverse trig functions of csc,sec,cot ?

  • @josephjohnson4761
    @josephjohnson4761 5 месяцев назад

    My classes textbook did not make this clear so I went home and ate chicken tenders and watched this video and I got it! Thank you a bunch!

  • @aaravshah8839
    @aaravshah8839 2 года назад +1

    Thank you soo much I have a test on this tmrw morning.

  • @kentyeg2661
    @kentyeg2661 Год назад

    Have a quiz tomorrow was going to ask questions from teacher today but he was absent this video is a lifesaver😀

  • @DvrcG
    @DvrcG 10 месяцев назад +2

    Thank you very much Sir!💗✨️

  • @Ava-vq8zq
    @Ava-vq8zq 3 года назад +1

    Absolute life saver for review sophomore year before school starts

  • @mapulenghlalele8079
    @mapulenghlalele8079 3 года назад +3

    This video saved my grades🙏🇿🇦

  • @mr.aviation4692
    @mr.aviation4692 Год назад +1

    Lets just say that this saved me

  • @mozzarella2821
    @mozzarella2821 2 года назад +5

    Wow I listened to my teacher explain it for a whole lesson and was so confused, but the way you explained it helped me understand within the first 5 minutes, thank you so much :^DDD

  • @cherie..cherry
    @cherie..cherry 3 года назад

    I have a pre calc test Monday and this came at the perfect time

  • @sumsolution1064
    @sumsolution1064 2 года назад +1

    Yotube needs to make it possible to click the LIKE button a million times..salute u sir

  • @vanessaramsey2272
    @vanessaramsey2272 Год назад

    you answered my question in the first 50 seconds thank you!

  • @gioarimas2369
    @gioarimas2369 3 года назад +3

    Thanks king, I needed these

  • @lenamohamed4571
    @lenamohamed4571 3 года назад +1

    thanks from Egypt ♥

  • @allyknight6872
    @allyknight6872 Год назад

    You are helping me pass college trigonometry. Bless you 😂❤

  • @shareefsayeed2644
    @shareefsayeed2644 3 года назад

    Im taking precalculus in 11th grade and I have an A right now all thanks to you.

  • @BlueSpider2099
    @BlueSpider2099 3 года назад +28

    Dude i literally had a test on this on Thursday and i tried to find a video about it but i couldn't find it😭😭. I'm pretty i failed 😭😭

    • @aurapain5757
      @aurapain5757 3 года назад +3

      F

    • @Alicia-b7g
      @Alicia-b7g 3 года назад +1

      I no good luck

    • @thefirefades
      @thefirefades 3 года назад +7

      F. Tomorrow is my test, and in the latter half of the unit I spent more time doing homework for other classes than paying attention to this class lol, so this is a last minute study session.

    • @Murk.mp4
      @Murk.mp4 3 года назад +7

      hey, at least you're pretty

    • @thefirefades
      @thefirefades 3 года назад

      @@Murk.mp4 huh

  • @snats15
    @snats15 3 года назад +1

    Thanks my Math class in 1st year Engineering is so hard & teacher not doing me any favors. I supported you on Patreon.

  • @AK-op4be
    @AK-op4be 3 года назад +4

    this really helped me practice, thank you ✨

  • @peppapiggy5940
    @peppapiggy5940 3 года назад +3

    Since this year we just pay money to buy our degrees. Thanks a lot for your video.

  • @randomlee7126
    @randomlee7126 2 года назад

    so grateful this was released a year before i needed it-

  • @ambasing_omaygot
    @ambasing_omaygot 7 месяцев назад

    Range can't include -pi/2 because it's also one of the horizontal asymptotes of the arctan(x) graph 15:39

  • @VeronicaKwon
    @VeronicaKwon Год назад

    bro is saving lives here

  • @solavila802
    @solavila802 7 месяцев назад +1

    His voice has the vibe of the classmate you ask if he gets what the teacher is saying(and yes he does)

  • @mustafaahamad6901
    @mustafaahamad6901 3 года назад +1

    Thank you very much ... I am from Iraq. I follow this video❤️👈

  • @migcobomalusi8364
    @migcobomalusi8364 Год назад +1

    thank you so much for all the work you do. i swear you're going to be the reason i get my degree

  • @c4tac133
    @c4tac133 4 месяца назад

    5:50 thank you so much for this, I was stumped on this question 😅

  • @dongarangaisback4797
    @dongarangaisback4797 3 года назад +26

    Whoever disliked this video disappoints me. How does someone explain it so well and you still cant understand it?

    • @squadofone7170
      @squadofone7170 11 месяцев назад

      Disappoints? Get a grip; people struggle on topics and especially math. What’s more disappointing is you can’t spare some empathy.

  • @lorenzogurrola6084
    @lorenzogurrola6084 2 года назад

    Great video for ACT Math prep!

  • @oluwatosinogunleye9392
    @oluwatosinogunleye9392 2 года назад +1

    You are just too good
    I love all your video
    Detailed explanation 🖖

  • @alphasaffi9230
    @alphasaffi9230 2 года назад

    That's the academic leader thank you very much for such adventure.may u live long and being protected day by day

  • @artemiip
    @artemiip 3 года назад +1

    This guy is the GOAT

  • @sophiaclark2824
    @sophiaclark2824 Год назад +1

    I’m now convinced that I’ll never understand arctan, I’ve watched so many videos from different people and nothing is helping 😭

  • @edgarc770
    @edgarc770 Год назад

    Seriously a life saver

  • @omidghaderi269
    @omidghaderi269 3 года назад

    I really love the way you teaching and of course you voice ❤

  • @fabriceras9562
    @fabriceras9562 3 года назад +1

    You are the GOAT my guy

  • @darkhighwayman1757
    @darkhighwayman1757 3 года назад

    between OCT and Brian McLogan....get the math instruction I really need

  • @shauryaI22333
    @shauryaI22333 3 года назад

    Thanks sir for this much effort.I have watched all of your video n gets high marks

  • @beme1752
    @beme1752 3 года назад

    I take that back😂😂 You're amazing,i really love your voice

  • @pongangelo2048
    @pongangelo2048 3 года назад +2

    I just saw a video called "a year's worth of calculus in 1 minute" then as I read the comments, many suggests him trying inverse trigonometry and substitution.

  • @ԴավիթԲաբայան-յ4ւ
    @ԴավիթԲաբայան-յ4ւ 3 года назад +2

    Could you talk about poles and zeros in Filters please?

  • @mogethecurator3232
    @mogethecurator3232 2 года назад +1

    Came here to figure one thing out. That one thing is the only thing not explained. When and where was I supposed to learn that sin (pi/6) = 1/2? Typing it into a calculator doesn't give 1/2. The unit circle only deals in radians and degrees, so that doesn't do much to equate radians to fractions either.

    • @basraashkir4041
      @basraashkir4041 2 года назад

      Plz refer to the unit circle. Type unit circle on RUclips then that's when you'll understand otherwise you'll be confuse. Learn the unit circle first. Good luck

    • @squadofone7170
      @squadofone7170 11 месяцев назад

      EXACTLY THIS!

    • @squadofone7170
      @squadofone7170 11 месяцев назад

      I don’t understand SIN is opposite / hypotenuse so why is he saying it’s only the height (just opposite?)

  • @ayonixanimations
    @ayonixanimations 2 года назад

    This is really amusing because I got the right answer apparently from pure coincidence (I haven't finished the video yet). I also had sin^-1 (1/2) and was working on the next one before I went "hm does ^-1 actually inverse it?" and apparently you're not supposed to inverse it? But I went sin inversed is csc which makes it 2/1 but I need it to be in sin so I just flipped it again and it's radian is still pi/6. Worked with the problems given here that I tried them on too.

  • @stigenbeat568
    @stigenbeat568 2 года назад

    or you can just say if tan(x)=y since tan(x+2npi) is also y then arctan(y)=x+2npi so both are right

  • @XDariuss
    @XDariuss Месяц назад +1

    i still dont understand how these angles are equal to these quadrants

  • @hisbeloved1st
    @hisbeloved1st 3 года назад +2

    You’re the best! THANK YOU!!

  • @dodobird809
    @dodobird809 3 года назад +3

    why is the range for arcsin -pi/2 to pi/2?

  • @adorablealien1870
    @adorablealien1870 25 дней назад

    literal lifesaver

  • @anthonyviana7913
    @anthonyviana7913 3 года назад

    I think you made a mistake on the sine of 225 degrees and sine of 315 degrees. The sine of 225 is -1/root2 and the sine of 315 is -1/root2👀@The Organic Chemistry tutor please correct me if I am wrong

  • @alfredocardenas8454
    @alfredocardenas8454 2 года назад +1

    I just wish you visually explained to us how you know which kind of pie it is. like pi/3 pi/4 or pi/6

  • @zaynjarallah
    @zaynjarallah 3 года назад

    Sir, you are a LEGEND
    thank you

  • @Die-Coughman
    @Die-Coughman 2 года назад

    Thank you for making these topics sound interesting.

  • @sneharao4767
    @sneharao4767 Год назад

    this video is very helpful

  • @wanguilucie-rs8yk
    @wanguilucie-rs8yk Год назад +2

    How do you identify the range of the angle?

  • @XXXX-ri4yd
    @XXXX-ri4yd 2 года назад

    I am going to study mining engineering soon. What topics should I have to study to prepare for college?

  • @gabbyh.4253
    @gabbyh.4253 3 года назад

    You are literally the best