How to evaluate the inverse of trigonometric functions with unit circle

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  • เผยแพร่เมื่อ 31 ม.ค. 2025

ความคิดเห็น • 79

  • @Mohit-ks1gu
    @Mohit-ks1gu 6 ปีที่แล้ว +4

    Shouldn't the range for arctan be(-π/2 , π/2) open interval

  • @phamnguyenlinhcuc7425
    @phamnguyenlinhcuc7425 5 ปีที่แล้ว +4

    I was stuck on this until I saw your video, thanks a lot!! Just moved to America to study so those videos are so helpful^^

  • @tatiana1310
    @tatiana1310 4 ปีที่แล้ว +1

    I appreciate that you don't cut your student's questions. These help a lot!

  • @melissahernandez4329
    @melissahernandez4329 5 ปีที่แล้ว

    i love that you really break the problems down instead of assuming we know what you're doing. THANK YOU!

  • @kaylinfelix4809
    @kaylinfelix4809 9 ปีที่แล้ว +2

    You helped me last year, and now you're helping me again. You are a Boss. Thanks a lot sir.

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

      +Kaylin Felix : ) happy to help!

  • @gleefulghost774
    @gleefulghost774 6 ปีที่แล้ว +8

    This helped me a lot, but I have a question. Have you fixed the caps on you markers, or do you do that on purpose?

  • @DinoTheThird
    @DinoTheThird 7 ปีที่แล้ว +2

    Wow!!! I can't believe it's this simple. The way he explained it was so clear

  • @qualquan
    @qualquan 9 ปีที่แล้ว +10

    An easy way to distinguish between trig and inverse trig functions is that : In trig functions the INPUT (or what goes within brackets) is theta whereas in in the inverse trig functions the INPUT is the reverse, meaning it is sin theta or cosine theta or tan theta etc. So since the INPUT is reversed hence the OUTPUT will also be reversed.
    Think of REVERSAL of INPUT hence OUTPUT.

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

      qualquan thank you!

    • @qualquan
      @qualquan 9 ปีที่แล้ว +1

      Mr. McLogan's Math Channel I probably did not say anything original except that being simple minded I like to think in everyday terms like "input" and "output" with the output written before the input. The term "function" is another term for the output. Also that the terms sin, cosine and tan etc. are mere ratios of the sides of a right triangle. Perhaps a bit of necessary jargon.

  • @ratnagamage1466
    @ratnagamage1466 9 ปีที่แล้ว +1

    At first when i was doing the problem i was lost but after i saw your video it made my life easir. so thank you keep posting the great work.

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

      +Ratna Gamage Happy to hear, will do!

  • @brianmclogan
    @brianmclogan  11 ปีที่แล้ว +3

    you are very welcome!

    • @MildSatire
      @MildSatire 4 ปีที่แล้ว

      Brian McLogan fuck off m8 lmao

  • @tatiana1310
    @tatiana1310 4 ปีที่แล้ว +2

    10:37 This is SOOOO important!

  • @TheAlexSaysHi
    @TheAlexSaysHi 11 ปีที่แล้ว

    thank you so much this is honestly so helpful i have a test on this tomorrow and you explained the topic so well, better than any other video ive seen so thank you so much!!!!!!

    • @brianmclogan
      @brianmclogan  11 ปีที่แล้ว

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

  • @prab3636
    @prab3636 9 ปีที่แล้ว +6

    you sir are a godsend. Thanks for posting.

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว +2

      Prabh Dhillon : ) just happy to be able to help you out!

  • @joblong9605
    @joblong9605 7 ปีที่แล้ว

    Could you please put the episode no. so if I missed out something that I need for the lesson, I could go and check it.If it's okay.I am very pleased with all of your explanations. Thanks.

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +1

      Hi Job, I do not have my lesson videos organized in sequence on TH-cam since I have so many of them. However I do have Master videos organized in sequence on my channel, paid courses available that go in sequence and my website also has many of my playlists ordered. Hope that helps

  • @viridianam8439
    @viridianam8439 9 ปีที่แล้ว

    omg this literally just saved me!! It is much more simple than it seemed

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

      +Viridiana M happy to save you, keep up the hard work!

  • @alaazamel8176
    @alaazamel8176 5 ปีที่แล้ว

    You're the best Ever thanks so much

  • @skylerchristie6216
    @skylerchristie6216 5 ปีที่แล้ว

    Is there a way to find the inverse cos of 12/13 using the unit circle, or do you have to use a calculator?

  • @blainegrabbert1304
    @blainegrabbert1304 7 ปีที่แล้ว

    Thank you so much!!!! your video really helped me understand this concept and I really appreciate the time and effort you put in making this.

  • @jeromecudapas
    @jeromecudapas 4 ปีที่แล้ว

    sir, how do you solve
    arccsc(-2)

  • @aristotelescajiza9048
    @aristotelescajiza9048 7 ปีที่แล้ว

    WOW!!! I wish you were my teacher.

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

      here for you

    • @aristotelescajiza9048
      @aristotelescajiza9048 7 ปีที่แล้ว

      thanks, your videos are really very helpful. I've been watching them for a long time and I really understand what you explain. Is impossible don't understand. Great Job

  • @lamontebritt2210
    @lamontebritt2210 5 ปีที่แล้ว

    Thx. Very helpful.

  • @PandaBerry23
    @PandaBerry23 11 ปีที่แล้ว +2

    Omg this helped so much! You always help me with all my math confusion.

    • @brianmclogan
      @brianmclogan  11 ปีที่แล้ว

      : ) thats what I like to be here for

  • @marcus3435
    @marcus3435 6 ปีที่แล้ว

    i didn't know that your channel would have merch, I thought it was going to only have math:)

  • @joblong9605
    @joblong9605 7 ปีที่แล้ว

    I really like how you go ahead of yourself, it reflects my personality.he....

  • @alis.8894
    @alis.8894 9 ปีที่แล้ว

    Very helpful video thank you

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

      Ali S. you are very welcome! happy to be able to help!

  • @Lyblix
    @Lyblix 8 ปีที่แล้ว

    thank you so much for posting this! however i have a question: what do you do when instead of arcsin or arccos its arcsec or arccsc?

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว

      arc(1/cos) and arc(1/sin) they are just reciprocals of one another

  • @solomonabebe8800
    @solomonabebe8800 7 ปีที่แล้ว

    Thank you so much that was really helpful!

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

      you are very welcome! happy to help

  • @krissym6441
    @krissym6441 9 ปีที่แล้ว

    Thanks for this, greatly appreciated..my precalc professor explains horribly!

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

      +Sara Ni here for you for the rest of the year, let me know how else I can help!

  • @tananbayar3626
    @tananbayar3626 9 ปีที่แล้ว

    What happens if the angle you find does not fit in the restritctions?

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

      +Tanan Bayarmagnai do you have an example of what you are referring to?

  • @Unlearnwithurvashidave
    @Unlearnwithurvashidave 9 ปีที่แล้ว

    cos B = -0.346
    then what will be the inverse cos.
    sir, plz do help me i am facing so much problem. while solving

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

      +Urvashi Dave sin^-1(-0.346) = B

  • @lenamaximoff5484
    @lenamaximoff5484 6 ปีที่แล้ว

    Why is the range for cosine pi to 0? I'm confused on that

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      no the INVERSE of cosine has a restricted range from [0,2pi] Here is a video I made on it th-cam.com/video/xEGZsWgCn-Q/w-d-xo.html

  • @whatisnewwithsamer9500
    @whatisnewwithsamer9500 6 ปีที่แล้ว

    umm, how do i find the video of the very start of inverse of trigonometric functions ?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      I do not have my videos in order, as they come from many different classes, check out the playlist at the end for more examples

  • @carlosandil6634
    @carlosandil6634 9 ปีที่แล้ว

    can you do tan^-1(radical3/3)

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

      +Carlo Sandil look at the unit circle what angle occurs when y/x from the coordinate point of the angle is root3/3

    • @carlosandil6634
      @carlosandil6634 9 ปีที่แล้ว

      +Mr. McLogan's Math Channel, is pi/6 the right answer?

  • @mcramacrash
    @mcramacrash 10 ปีที่แล้ว

    Arctan (0) = 2pie radians or 0°

    • @brianmclogan
      @brianmclogan  10 ปีที่แล้ว

      Michael Paul depends on the constraint otherwise it will be for both

  • @bluepoint4342
    @bluepoint4342 11 ปีที่แล้ว

    Thx

  • @Curmudgeon1685
    @Curmudgeon1685 6 ปีที่แล้ว

    The domain has to be restricted for inverse, not range.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      correct, the domain of the trig function is restricted giving the range of the inverse function that restriction

  • @Muneer398
    @Muneer398 7 ปีที่แล้ว

    Cool bro

  • @hichamyounsaoui372
    @hichamyounsaoui372 8 ปีที่แล้ว

    please can you give me the inverse of f(x)=x+cos(x)

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว

      sorry I do not have time to work out individual problems as I have multiple examples

  • @Itsjjones
    @Itsjjones 7 ปีที่แล้ว

    I’m getting confused on the part our teacher gave us, with a cotangent theta negative square root of 3

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

      use the reciprocal function 1/tan(theta)=root(3) therefore tan(theta)=1/root(3) or root(3)/3

  • @DM-gu9ik
    @DM-gu9ik 6 ปีที่แล้ว +1

    Hahah 1:51 so funny!

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      haha yep happens to me too

    • @johnaronson3304
      @johnaronson3304 6 ปีที่แล้ว

      Your videos are excellent drills. I never fail to learn something. The repetition is so helpful. @@brianmclogan

  • @Curmudgeon1685
    @Curmudgeon1685 6 ปีที่แล้ว

    And why not just show them the tangent graph for the student who doesn't understand where tan becomes 0 and undefined? That should be far more intuitive than unit circle, imho.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      I have a video on that, and teach that as well in my class, this video just doesn't go there