Let’s Find the ANGLE - Basic Trig Functions (sin, cos, tan)
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- čas přidán 8. 02. 2022
- TabletClass Math:
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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/
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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.
carpentry is necesssary
Bob Humphries do you remember how to use a slide rule?
@@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.
@@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.
@@martinwalker9386 Personally, I've forgotten the micrometer & abacus too.
get to the point!! you take tooooo long in the intro!
You can just >> yourself. If you want to really get to the point, >> to 13:48.
@@johncollins7044 😊
8.6= √74
30°
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.
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
Thank you for your time and video, we are covering trigonometry as we speak. It was very helpful to me. Thanks.
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.
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 !
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.
That's a good lesson thanks John😊
Thanks, just writing a gravity simulator and have never used the ATN function on BASIC before.
LET ANGLE=DEG(ATN(B/A))
Stay on Topic !
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.
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.
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.
I`ve just got it to work on an old BBC computer.
LET ANGLE=DEG(ATN(B/A))
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.
Calculated by using sinus X= 35,53°, also by calculating with tangens
this is not a math problem; this is applying a basic formula, almost a definition
Why 90° angle is drawn as box? I think it depends on country. Some ppl are drawing circle with dot.
Unbelievable seeing soh cah toa, kind of Polynesian lol. Used this 50 years ago. Blessings from South Africa.
luv that
Question.
Is the answer is the answer 35.53 degrees or 35 degrees 53 minutes?
If the tangent = opp/adj why do you take the inverse to get the answer?
how does the angle get known without a phone calculator? is there a type of log rythm table?
can a slide rule help?
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.
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.
I've misplaced My slide-rule
@@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.
@@foureyedchick I didn't know that there were calculators in school in the 70's Thanx 4 that
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.
the building (speed?) square RULES(joke).
Inverse tangent of 5/7.
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!] ).
Angle of thata is = tangent of O/A O/A= 7/5
thata is = .024439
everyone start the video from 5:43
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 )
0:33 0:33
literallt studying this while waiting to take my geo eoc
so useful brw
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
I just wanted the angle. Where's the inverse tangent button? I'm dying here.
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!
Dude! Get on with the maaaath!
ctan-1 (7/5) = 35.53°
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.
Personally I would've used the angle sign as part of the answer: Tan ∠x = 35.54°
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!!!
35.538
35,53 °
Video starts at 6:00
Time 5:44 is where the video starts
From what I remember
Some Officers Have
Coaches And Horses
To Order About
Do you know who Eli the Ice man is? Or his friend HONClBrIF?
@@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.
@@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.
Tan x = 5/7, x tan^-1 (5/7)
What did mathematicians use before there were calculators? A slide-rule? ...
X equals 1 and 2/7
😒 took more than 15 minutes for him to solve the problem. ..
Tan‐¹(5/7) ... easy.
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.
answer: √74
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 CZcams commercials.
Once again... I am sleeping..... get to the point and quit being like my math teachers of old.
Close your book and go home then.
See you tomorrow!🙋♀️
@@pinkrose1438 🤣
@@pinkrose1438 😅
Hey friends🙋♀️ let us sit,relax and listen.
Hope you're doing well!❤️
so much yapping
you are a good brain eater
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
You must me blind not to see the sngle
literally skip like 2mins too 5mins
wtf
Honestly, get to the point. Why not?
7 minutes wasted
At least you don't speak India English !
Unemployed Teacher ?
Talks too much nonsense. Be clitter clatter
You are taking to much time. Make short.
Waaaaaay too much talking
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
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.
Very good but you waste 6 mins before getting to the point or formula !