Let’s Find the ANGLE - Basic Trig Functions (sin, cos, tan)

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  • เผยแพร่เมื่อ 8 ก.พ. 2022
  • TabletClass Math:
    tcmathacademy.com/
    How to find an angle in a triangle using basic trigonometric ratios sin, cos, tan. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at tcmathacademy.com/
    Math Notes:
    Pre-Algebra Notes: tabletclass-math.creator-spri...
    Algebra Notes: tabletclass-math.creator-spri...
    Geometry Notes: tabletclass-math.creator-spri...
    Algebra 2 / Trig Notes: tabletclass-math.creator-spri...

ความคิดเห็น • 98

  • @ajae4616
    @ajae4616 10 วันที่ผ่านมา

    I am currently taking trigonometry for the first time, my professor teaching is very hard to understand. But after researching and finding your video, I figure it out in minutes. Your method are more effective and easy to learn. Thank you

  • @narindersingh2776
    @narindersingh2776 2 ปีที่แล้ว +3

    Great the way you explained.
    I have watched your show and you are great.
    Thank you sir. I am a senior person but love your classes.
    Will watch again and again to enjoy your teaching methods.
    All the best.

  • @michellevertiz4501
    @michellevertiz4501 2 ปีที่แล้ว +5

    This has helped during trying to get my GED thank you ❤️ I finally found a helpful video to explain these problems I still am still struggling with... I am not distracted I am focused on this because I have been trying to get this done... Thank you

  • @felipemendoza9462
    @felipemendoza9462 2 ปีที่แล้ว +2

    Thank you for your time and video, we are covering trigonometry as we speak. It was very helpful to me. Thanks.

  • @bobhumphries3998
    @bobhumphries3998 2 ปีที่แล้ว +19

    Back in 1970, senior year of high school, I was thinking what am I ever going to need trig for. Fast forward a few years and I find out that it is necessary (or at the very least quite helpful) when you are laying out roof rafters for a house. I still love math. Numbers never lie.

    • @robertakerman3570
      @robertakerman3570 2 ปีที่แล้ว +2

      carpentry is necesssary

    • @martinwalker9386
      @martinwalker9386 2 ปีที่แล้ว +1

      Bob Humphries do you remember how to use a slide rule?

    • @bobhumphries3998
      @bobhumphries3998 2 ปีที่แล้ว

      @@martinwalker9386 Sadly, I do not. When I was in high school I had the traditional one and also a circular shaped one that I used.

    • @martinwalker9386
      @martinwalker9386 2 ปีที่แล้ว +1

      @@bobhumphries3998 I have both a 10 inch log-log and a circular aviation slide. In 1996 after I retired from the navy I was taking a chemistry class. I knew that as long as I took the final I had an “A” so I used my slide rule and noted slide rule by my name.

    • @robertakerman3570
      @robertakerman3570 2 ปีที่แล้ว

      @@martinwalker9386 Personally, I've forgotten the micrometer & abacus too.

  • @myrlamorta5567
    @myrlamorta5567 2 ปีที่แล้ว +1

    Thank you so much for this. I want to know more. I hated Maths before. Now, I'm 55 and I'm learning for my students.

  • @gungorbenturk2543
    @gungorbenturk2543 3 หลายเดือนก่อน

    Thank you very much ! You explain very good, I have learned some technically difficult things to learn in Trigonometry from you Sir, you have been very helpfull !

  • @jasonmorris858
    @jasonmorris858 3 หลายเดือนก่อน

    That's a good lesson thanks John😊

  • @marvinostman522
    @marvinostman522 5 หลายเดือนก่อน

    I really enjoyed the video. I asked that question, where am I going to use this. Without that you are just moving numbers on a page with no purpose. I started looking into these equations when I was trying to figure the angle of a splayed leg on a stool. I found the lengths by using “pitch or run and rise.” I marked that out using my framing square and then used a protractor. If I don’t have those things with me then I am stuck. Your explanation is easy to follow. I am glad you stressed taking good notes.

  • @TheJacov
    @TheJacov 2 ปีที่แล้ว

    Actually I had fun solving this using Dyalog APL instead of a calculator. The hardest part (took me about two minutes because my APL was rusty) was converting arctan into APL. Then of course because all APL trig functions are expressed in radians I had to convert rads to degrees, another 30 seconds. Great fun! I don't use trig much so I like to refresh on the basics every now and then.

  • @charlesh.huntleyjr.5468
    @charlesh.huntleyjr.5468 ปีที่แล้ว +1

    Stay on Topic !

  • @simmo5071
    @simmo5071 2 ปีที่แล้ว

    If the tangent = opp/adj why do you take the inverse to get the answer?

  • @anestismoutafidis4575
    @anestismoutafidis4575 ปีที่แล้ว

    Calculated by using sinus X= 35,53°, also by calculating with tangens

  • @jamesedward9306
    @jamesedward9306 2 ปีที่แล้ว +1

    First of all love the channel. But I'm a little confused with this problem and would welcome help from the creator of this vid or anyone else.
    So when I first viewed this problem I thought there was a way to solve it without using all of the trig functions. Here's my thought process. All triangles have a total of 180 degrees (at least in euclidean geometry). Since it's a right triangle we know that the angle opposite the hypotenuse is 90, that means that the sum of angle x and the other acute angle (let's call it y) equals 90. Now I made one intuitive leap that the ratio of the lengths of the sides is the same as the ratio of the angles opposite those sides. This yielded the rather simple algebraic equation and substitution : x+y=90 and so x + 7/5x = 90. Solving that: 2.4x = 90 and x = 37.50. The angles of the whole triangle would be 37.50, 52.50 and 90, which totals 180.
    But the video says the answer using the trig functions is 35.53 for x. So I was close but not right. Where did I go wrong? I checked, and checked my math over and over. The only thing I can think of, is that the intuitive leap was incorrect, that the ratio of angles is not equal to the ratio of side lengths opposite them? Or am I missing something else?
    Please help, this is bugging the crap out of me. Where did I go wrong? Thanks in advance.

  • @planetary590
    @planetary590 หลายเดือนก่อน

    u saved me thank you legend

  • @12jn00gb
    @12jn00gb 2 ปีที่แล้ว +1

    Why 90° angle is drawn as box? I think it depends on country. Some ppl are drawing circle with dot.

  • @nikburton9264
    @nikburton9264 2 หลายเดือนก่อน

    I came on here trying to figure the angle to cut 2x4s for an unconventional slant roof. I did finally figure it out, but I had to watch the video 3 or 4 times because you yak too much. That's criticism, not insult. Thanks for the info.

  • @johnhewett9483
    @johnhewett9483 10 หลายเดือนก่อน

    Question.
    Is the answer is the answer 35.53 degrees or 35 degrees 53 minutes?

  • @damianbutterworth2434
    @damianbutterworth2434 2 หลายเดือนก่อน

    Thanks, just writing a gravity simulator and have never used the ATN function on BASIC before.
    LET ANGLE=DEG(ATN(B/A))

  • @warrenchu6319
    @warrenchu6319 2 หลายเดือนก่อน +1

    I was looking for a way to *compute* arctan(x) without using a table (as done by an electronic calculator), hoping this video would do that.
    Turns out arctan (x) can be expressed as a polynomial expansion series of (x) called the Maclaurin series approximation for arctan:
    arctan (x) = x - x^3/3 + x^5/5 - x^7/7 + ... (where ... means more terms and arctan(x) is in radians).
    Example1: arctan (1) = 1 - .33 + .20 - .14 = 0.73 radians, compared to the actual value arctan (1) = pi/4 or 0.78 radians or 45 degrees.
    Example2: arctan (.714285) = .714285 - .121477 + .037186 - .013552 = 0.616443 radians or 35.3 degrees (as in the video example).
    The series is infinite; the more terms you compute, the more accurate the result.

    • @damianbutterworth2434
      @damianbutterworth2434 2 หลายเดือนก่อน

      I`ve just got it to work on an old BBC computer.
      LET ANGLE=DEG(ATN(B/A))

  • @danielreiff8320
    @danielreiff8320 2 ปีที่แล้ว +1

    how does the angle get known without a phone calculator? is there a type of log rythm table?

    • @danielreiff8320
      @danielreiff8320 2 ปีที่แล้ว

      can a slide rule help?

    • @markjakeway2035
      @markjakeway2035 2 ปีที่แล้ว +2

      In my youth before calculators we had to carry around a book of various tables that had them all in and you had to use those.

  • @TheJacov
    @TheJacov 2 ปีที่แล้ว

    To be fair I don't use much math of any kind for practical purposes, I just like to program math expressions of various sorts in my favorite programming languages to keep my mind active as I'm retired and don't really have much else to do, mentally speaking. I also get in a minimal amount of physical exercise to stay healthy (it's minimal due to the fact that I'm lazy, not because of any disability other than the asthma and a touch of arthritis, neither of which are severe [yet!] ).

  • @terrynaude284
    @terrynaude284 2 ปีที่แล้ว +1

    Unbelievable seeing soh cah toa, kind of Polynesian lol. Used this 50 years ago. Blessings from South Africa.

  • @foureyedchick
    @foureyedchick 2 ปีที่แล้ว +2

    35.54 deg. 5/7=0.71 arctangent of .71 = 35.54.deg. On Texas Instruments BA II Plus Scientific Calculator, press .71 then INV 2nd TAN.

    • @robertakerman3570
      @robertakerman3570 2 ปีที่แล้ว

      I've misplaced My slide-rule

    • @foureyedchick
      @foureyedchick 2 ปีที่แล้ว

      @@robertakerman3570 Oh, the memories of slide-rules in High School in the 1970s. And the teacher would not let you use the calculator your parents bought you for Christmas.

    • @robertakerman3570
      @robertakerman3570 2 ปีที่แล้ว

      @@foureyedchick I didn't know that there were calculators in school in the 70's Thanx 4 that

  • @weremodel
    @weremodel 2 ปีที่แล้ว +1

    Rise over run, inverse tangent. 5/12 pitch to the roof. what is the angle of the rafter, the angle of the face cut to the ridge and what is the length of the rafter if the building is 24 feet wide? Who needs trig? No Speed Squares allowed.

    • @robertakerman3570
      @robertakerman3570 2 ปีที่แล้ว

      the building (speed?) square RULES(joke).

  • @knotwilg3596
    @knotwilg3596 2 ปีที่แล้ว +1

    this is not a math problem; this is applying a basic formula, almost a definition

  • @johncollins7044
    @johncollins7044 2 ปีที่แล้ว +1

    I don't get why some folks are saying it is taking soooooo long to get to the point.
    It's math!
    This is not a marketing video that needs to wow you in 10 seconds to buy something before you lose your attentio.......oh look, squirrel!!
    For those who want to get to the point, fast-forward to 13:48.
    BTW, a sixteen minute video is really not very lon...squirrel!

  • @mayanksaxena3574
    @mayanksaxena3574 2 ปีที่แล้ว +1

    everyone start the video from 5:43

  • @jennaessa3822
    @jennaessa3822 2 ปีที่แล้ว

    literallt studying this while waiting to take my geo eoc

  • @patricedeporter523
    @patricedeporter523 2 ปีที่แล้ว

    ctan-1 (7/5) = 35.53°

  • @rasadnur6308
    @rasadnur6308 3 หลายเดือนก่อน

    Solve the problem a:7, b:5 & c: 8.6
    90° has already been given and you have two unknown angles of :(x)' and its 'opposite angle'. (o )

  • @Afrocanuk
    @Afrocanuk 2 ปีที่แล้ว

    Personally I would've used the angle sign as part of the answer: Tan ∠x = 35.54°

  • @leetrask6042
    @leetrask6042 3 หลายเดือนก่อน

    Inverse tangent of 5/7.

  • @frankhooper7871
    @frankhooper7871 2 ปีที่แล้ว +1

    Since you're using a calculator, you can just tap in tan-1((5/7)) and not have to eorry aboue the precision of 5/7

  • @ernestcook4285
    @ernestcook4285 4 หลายเดือนก่อน

    Angle of thata is = tangent of O/A O/A= 7/5
    thata is = .024439

  • @rikititawanrikititawan4953
    @rikititawanrikititawan4953 2 ปีที่แล้ว

    35,53 °

  • @rasadnur6308
    @rasadnur6308 3 หลายเดือนก่อน

    0:33 0:33

  • @Van_Lux
    @Van_Lux ปีที่แล้ว +1

    Dude! Get on with the maaaath!

  • @tijustme2
    @tijustme2 4 หลายเดือนก่อน

    I just wanted the angle. Where's the inverse tangent button? I'm dying here.

  • @mendozajovy
    @mendozajovy 2 ปีที่แล้ว

    Tan x = 5/7, x tan^-1 (5/7)

  • @HAGARCIA
    @HAGARCIA 2 ปีที่แล้ว

    Don't forget: Go to SohCahToa Island. And sin x, is snake tooth;;; cosx, is alligator mouth;;; tanx is a nail on the board ou a beggar's hand.

  • @michaelmappin4425
    @michaelmappin4425 8 หลายเดือนก่อน

    35.538

  • @bushtherapy7655
    @bushtherapy7655 2 ปีที่แล้ว

    X equals 1 and 2/7

  • @disciplepullover326
    @disciplepullover326 7 หลายเดือนก่อน

    I've looked through so many videos a d no one will show me how to do this without a calculator. I'm not trying to learn how to use a calculator I'm trying to learn how to do math!!!

  • @lsmith992
    @lsmith992 2 ปีที่แล้ว

    From what I remember
    Some Officers Have
    Coaches And Horses
    To Order About

    • @foureyedchick
      @foureyedchick 2 ปีที่แล้ว

      Do you know who Eli the Ice man is? Or his friend HONClBrIF?

    • @lsmith992
      @lsmith992 2 ปีที่แล้ว +1

      @@foureyedchick
      I've never had need of either of these acronyms so they're new to me.
      The first looks like something to do with circuits and the second is O2 etc.

    • @foureyedchick
      @foureyedchick 2 ปีที่แล้ว +1

      @@lsmith992 First one, voltage leads current in an inductor, current leads voltage in a capacitor. Second one, the list of elements (mostly halogens), which are diatomic molecules.

  • @PreservationEnthusiast
    @PreservationEnthusiast 2 ปีที่แล้ว

    Tan‐¹(5/7) ... easy.

  • @wheres_bears1378
    @wheres_bears1378 8 หลายเดือนก่อน

    Video starts at 6:00

  • @TacoDaddy-mr8ig
    @TacoDaddy-mr8ig 4 หลายเดือนก่อน

    Time 5:44 is where the video starts

  • @tommeats
    @tommeats 2 ปีที่แล้ว +27

    get to the point!! you take tooooo long in the intro!

    • @johncollins7044
      @johncollins7044 2 ปีที่แล้ว +2

      You can just >> yourself. If you want to really get to the point, >> to 13:48.

    • @pinkrose1438
      @pinkrose1438 2 ปีที่แล้ว

      @@johncollins7044 😊

    • @rasadnur6308
      @rasadnur6308 3 หลายเดือนก่อน

      8.6= √74
      30°

  • @ShanDysigns
    @ShanDysigns 2 ปีที่แล้ว +2

    I like watching videos on math (just keeps my brain fresh on practices I still know), but your lengthy introductions (on at least every video I've seen of yours) are just way too much. It's like half the video is you introducing yourself and drawing all these random check marks at the top screen. If you're going to repeat your lengthy introduction/advertisement on every video, maybe place it at the beginning (point of an introduction) and provide a "skip-to" time code in your description for those that don't want to wade through the same intro every video.

  • @goldenretriever6073
    @goldenretriever6073 ปีที่แล้ว

    answer: √74

  • @robertarguello1115
    @robertarguello1115 2 ปีที่แล้ว

    What did mathematicians use before there were calculators? A slide-rule? ...

  • @TacoDaddy-mr8ig
    @TacoDaddy-mr8ig 4 หลายเดือนก่อน +2

    😒 took more than 15 minutes for him to solve the problem. ..

  • @vmillixn
    @vmillixn 4 หลายเดือนก่อน +6

    so much yapping

  • @mayanksaxena3574
    @mayanksaxena3574 2 ปีที่แล้ว

    you are a good brain eater

  • @harpleblues
    @harpleblues 2 ปีที่แล้ว +2

    This is insufferable. Every one of your videos starts with a 5 minute commercial. In order not to suffer through it yet again I fast forward 5 minutes, only to run into TH-cam commercials.

  • @Michael-vf7oi
    @Michael-vf7oi 2 ปีที่แล้ว +3

    Once again... I am sleeping..... get to the point and quit being like my math teachers of old.

    • @pinkrose1438
      @pinkrose1438 2 ปีที่แล้ว +3

      Close your book and go home then.
      See you tomorrow!🙋‍♀️

    • @johncollins7044
      @johncollins7044 2 ปีที่แล้ว +1

      @@pinkrose1438 🤣

    • @inthenameoflove2962
      @inthenameoflove2962 2 ปีที่แล้ว

      @@pinkrose1438 😅

    • @pinkrose1438
      @pinkrose1438 2 ปีที่แล้ว +1

      Hey friends🙋‍♀️ let us sit,relax and listen.
      Hope you're doing well!❤️

  • @227lazer
    @227lazer 9 หลายเดือนก่อน +1

    This guy can't keep his mind straight he just drifts off talking about some other stuff for some other Galaxy than tries to come back to where you started

  • @jdog9025
    @jdog9025 10 หลายเดือนก่อน

    wtf

  • @harrymatabal8448
    @harrymatabal8448 3 หลายเดือนก่อน

    You must me blind not to see the sngle

  • @RmysticPlays
    @RmysticPlays 3 หลายเดือนก่อน

    literally skip like 2mins too 5mins

  • @firstofficerspock311
    @firstofficerspock311 2 ปีที่แล้ว +1

    Honestly, get to the point. Why not?

  • @charlesh.huntleyjr.5468
    @charlesh.huntleyjr.5468 ปีที่แล้ว

    At least you don't speak India English !

  • @BrandonWayne
    @BrandonWayne ปีที่แล้ว +2

    Waaaaaay too much talking

  • @abhishekak9619
    @abhishekak9619 10 หลายเดือนก่อน +1

    7 minutes wasted

  • @charlesh.huntleyjr.5468
    @charlesh.huntleyjr.5468 ปีที่แล้ว

    Unemployed Teacher ?

  • @AbdulRasheed-gv3xo
    @AbdulRasheed-gv3xo 5 หลายเดือนก่อน

    Talks too much nonsense. Be clitter clatter

  • @kiddusafeworki2606
    @kiddusafeworki2606 2 ปีที่แล้ว

    You are taking to much time. Make short.

  • @ericjuggler77
    @ericjuggler77 5 วันที่ผ่านมา

    You ramble waayyyyy too much.

  • @daninewman9544
    @daninewman9544 2 ปีที่แล้ว

    The maximum digits to show when dividing by 7 is 6 digits as the sequence REPEATS. .714285714285 etc. Gets to the point far toooooo slowly

    • @johncollins7044
      @johncollins7044 2 ปีที่แล้ว

      Do your own video. As noted in the beginning you must focus (the video is giving advice and encouragement for those who need it).
      A sixteen minute video, with explanation, is not very long.

  • @pm1104
    @pm1104 ปีที่แล้ว

    Very good but you waste 6 mins before getting to the point or formula !