Evaluating Inverse Trigonometric Functions

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  • เผยแพร่เมื่อ 16 ม.ค. 2025

ความคิดเห็น • 415

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  3 ปีที่แล้ว +56

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      @TheRealFredbearPlush 2 ปีที่แล้ว +15

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    • @techgamer6369
      @techgamer6369 3 ปีที่แล้ว +4

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    @cr7neymar908 2 ปีที่แล้ว +101

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    @gavinc8635 ปีที่แล้ว +74

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    @patrickaustin3009 ปีที่แล้ว +26

    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

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      @relawd8085 9 หลายเดือนก่อน +1

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    @jennahalcomb7359 2 ปีที่แล้ว +96

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  • @donaldtuten4844
    @donaldtuten4844 3 ปีที่แล้ว +629

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

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    • @yuachibi7894
      @yuachibi7894 8 หลายเดือนก่อน +1

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

    • @NoahBerhanu-j2m
      @NoahBerhanu-j2m 3 หลายเดือนก่อน +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 ปีที่แล้ว +33

    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 ปีที่แล้ว +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 ปีที่แล้ว +40

    *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)

  • @jadencleveland2735
    @jadencleveland2735 3 ปีที่แล้ว +65

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    @cameronleslie3001 3 ปีที่แล้ว +8

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

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    @llortaton 10 หลายเดือนก่อน +6

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

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    @pavelgutierrez6940 4 ปีที่แล้ว +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

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    @justincuozzo5340 3 ปีที่แล้ว +9

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

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    @laurenorourke2442 4 ปีที่แล้ว +52

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      @Alpha-fc3bo 11 หลายเดือนก่อน +1

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    • @Emmie1223
      @Emmie1223 4 หลายเดือนก่อน

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

    • @Alpha-fc3bo
      @Alpha-fc3bo 4 หลายเดือนก่อน

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

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    @mildew6579 2 ปีที่แล้ว +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

  • @teassister
    @teassister 10 หลายเดือนก่อน +736

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

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      @MARLONMATTHEWS 8 หลายเดือนก่อน +23

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      @greenaesthetic6387 8 หลายเดือนก่อน +14

      no literally😭

    • @jackwang2808
      @jackwang2808 7 หลายเดือนก่อน +39

      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 7 หลายเดือนก่อน +1

      ​@@greenaesthetic6387 tbh struggling

    • @Markopa-gc5nd
      @Markopa-gc5nd 7 หลายเดือนก่อน

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

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    @omarantar9132 4 ปีที่แล้ว +106

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    @qflexmoves 9 หลายเดือนก่อน +6

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  • @Tmzski32
    @Tmzski32 ปีที่แล้ว +24

    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 6 หลายเดือนก่อน +2

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

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    @xcrusaderofhope5903 3 ปีที่แล้ว +6

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  • @brightwolfz
    @brightwolfz 2 ปีที่แล้ว +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 ปีที่แล้ว

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  • @morganolivianewton8061
    @morganolivianewton8061 2 ปีที่แล้ว +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.

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    @RodahZyambo 4 หลายเดือนก่อน +1

    He really knows how to explain.Thank you🙏

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    @Itz_SJ.studies 4 หลายเดือนก่อน

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    @lorenzogurrola6084 2 ปีที่แล้ว +1

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

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  • @pablosesaid5830
    @pablosesaid5830 3 ปีที่แล้ว +15

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

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    @ahmedp3 ปีที่แล้ว +2

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    @josephjohnson4761 7 หลายเดือนก่อน

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    @Naruto_Uzumaki_ ปีที่แล้ว

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    @c4tac133 6 หลายเดือนก่อน

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  • @georgesadler7830
    @georgesadler7830 3 ปีที่แล้ว +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.

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    @user-qd7qz4pu1h 3 ปีที่แล้ว

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

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      @c0ntradmciver124 3 ปีที่แล้ว

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      @moltenmath 3 ปีที่แล้ว +3

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    @vanessaramsey2272 ปีที่แล้ว

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    @mozzarella2821 2 ปีที่แล้ว +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

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    @dongarangaisback4797 3 ปีที่แล้ว +26

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      @squadofone7170 ปีที่แล้ว

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

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    @lenamohamed4571 3 ปีที่แล้ว +1

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    @cherie..cherry 4 ปีที่แล้ว

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

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    @lorenzogurrola6084 2 ปีที่แล้ว

    Great video for ACT Math prep!

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    @edgarc770 ปีที่แล้ว

    Seriously a life saver

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    @pongangelo2048 3 ปีที่แล้ว +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.

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    @allyknight6872 ปีที่แล้ว

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

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    @snats15 3 ปีที่แล้ว +1

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    @savioantony6177 3 ปีที่แล้ว +1

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    @layanewies928 2 ปีที่แล้ว

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    @omidghaderi269 3 ปีที่แล้ว

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    @alphasaffi9230 2 ปีที่แล้ว

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    @Die-Coughman 2 ปีที่แล้ว

    Thank you for making these topics sound interesting.

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    @Yipppppeeeeee 2 ปีที่แล้ว +2

    Thank you! Hope I'll do well on my math quiz today. I'm so anxious q^q

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    @shareefsayeed2644 3 ปีที่แล้ว

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  • @BlueSpider2099
    @BlueSpider2099 4 ปีที่แล้ว +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 😭😭

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      @aurapain5757 4 ปีที่แล้ว +3

      F

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      @Alicia-b7g 4 ปีที่แล้ว +1

      I no good luck

    • @thefirefades
      @thefirefades 4 ปีที่แล้ว +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.

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    @artemiip 3 ปีที่แล้ว +1

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  • @ambasing_omaygot
    @ambasing_omaygot 9 หลายเดือนก่อน

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

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    @tobystl2839 หลายเดือนก่อน

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    @stanleeifeanyi4986 ปีที่แล้ว

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  • @dodobird809
    @dodobird809 3 ปีที่แล้ว +3

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

  • @actualstudent5818
    @actualstudent5818 3 ปีที่แล้ว

    the dislikes are from the teachers who were hoping we struggle to find explanations

  • @shauryaI22333
    @shauryaI22333 4 ปีที่แล้ว

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

  • @zinhlepretty5406
    @zinhlepretty5406 9 หลายเดือนก่อน

    nice lesson/lecture thank you

  • @wanguilucie-rs8yk
    @wanguilucie-rs8yk ปีที่แล้ว +2

    How do you identify the range of the angle?

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    @gabbyh.4253 3 ปีที่แล้ว

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    u r my freaking savior

  • @angelovictoros1106
    @angelovictoros1106 3 ปีที่แล้ว

    BIG MAN MUCH APPRECIATED

  • @Caca10372
    @Caca10372 ปีที่แล้ว +2

    How do you get 5pi/6 in the first example

  • @sneharao4767
    @sneharao4767 ปีที่แล้ว

    this video is very helpful

  • @joshuaperiabras1574
    @joshuaperiabras1574 2 ปีที่แล้ว

    thank you for this. 👌🏻

  • @ahmade5546
    @ahmade5546 2 ปีที่แล้ว

    Thanks for everything