Real Life Applications Of Trigonometry | How is Trigonometry Useful In Real Life?
Vložit
- čas přidán 28. 06. 2024
- Hi Friends,
In this video, we will explore some of the most important real life applications of Trigonometry.
Time Stamps-
0:00 - Introduction
0:16 - Trigonometry to Measure Heights Of Objects
1:51 - Trigonometry in Criminology
2:55 - Trigonometry in Construction
3:47 - Trigonometry in Astronomy
4:58 - Trigonometry in Video Gaming
5:42 - Trigonometry in Navigation
6:37 - Trigonometry in Music
7:23- Trigonometry in Economics
7:54 - Conclusion
You may also find the following videos also useful-
Real life applications of Geometric Sequence-
• Real Life Applications...
Real Life Applications Of Quadratic Equations-
• Real Life Applications...
Real Life Applications Of Linear Equations-
• Real Life Applications...
This is Priya and Welcome to "Enjoy Math".
The aim of this channel is to clarify all math concepts so that the beauty and simplicity of maths shines through. Please Like, Share the videos and show your valuable support by Subscribing to the channel.
I would love to get feedback and questions from you related to my channel.This is the only way I can be of most help to you. So please feel free to send your feedback and questions.
Common terms-
real life applications of trigonometry, trigonometry in real life,where is trigonometry used in real life, real life examples of trigonometry ,trigonometry to measure heights of objects, how to measure height of mount everest, how to measure height of tajmahal, how to measure height of pyramids, how to measure height of bhurj khalifa, how to measure height of twin towers, trigonometry in criminology, how trigonometry is useful to forensic experts, forensic science,blood spatter analysis, angle of impact,angle of elevation, trigonometry in astronomy,distance of stars from the sun,1 AU, astronomical unit, goniometer,inclinometer,clinometer,theodolite,wheel chair ramp height,trigonometry in construction, trigonometry in video gaming,velocity vector,moving objects, speed, horizontal component,vertical component,tan theta,cos theta,sin theta,hypotenuse,opposite,adjacent,trignometry,trigonometry in navigation,distance of ship from lighthouse,angle of depression,trigonometry in music,sound waves, f(t)= A sin (2 pi w t),sound engineers,digital audio, frequency,amplitude,time, omega,trigonometry in economics,marginal utility curve, fourier series, Tellier's Solution, cyclic nature of trigonomteric functions,
Thank You.
Priya.
music - www.bensound.com
#trigonometry
#trigonometryapplications
![Imaginary Numbers Are Real [Part 1: Introduction]](/img/n.gif)
I really appreciate your effort. The fundamentals are the needy for today's education system. Everyone focuses on fascinating (cutting edge technologies) objects without basics. Be proud of your work. Thanks.
Thank you so much for the motivating comment !!! 🙏🙏
Hope to bring more such videos in the future 👍👍
czcams.com/video/7NpoZ14Ovis/video.html
Where was you during my collage time ?? Thanks , now my kids will know it
Thank you so much for the wonderful comment....so motivating!! Very happy that your kids are finding the video useful 😊😊👍👍👍
Outstanding n informative
Thank you so much for the wonderful comment.Glad to know that you found the video useful 👍👍
Ma'am, topic is very well explained and so well put up. Was so beneficial to me. Thank you so much.
Most welcome!! Really happy to know that you found the video useful👍👍Thank you so much for the wonderful comment 🙏🙏
Good to see your effort in explaining the concepts with real time examples like setting up a ramp.. Well done madame
Thank you so much for the wonderful feedback.... really means a lot!! 👍👍👍
Thanks alot.
Most welcome...Really happy to be of help!! 😊😊👍👍
Nice and useful very informative 👍👌👏thank u
Most welcome!! 🙏🙏 Very glad that you found the video useful..thanks a lot for the lovely comment👍👍
Respected Ma'am thanks a lot you've helped me in understanding the deep basics of trigonometry like where it's being used.. Thanks a lot mam.
Most welcome!! It's so good to know that the video has helped you understand applications of trigonometry better....thank you so much for sharing your encouraging feedback, really means a lot 👍👍👍
Beautiful examples, thank you
Thank you so much for the appreciation!! Really means a lot....V happy that you found the video useful!! 😊😊👍👍👍
So nice teaching methods 👍
Thank you so much for this wonderful comment 🙏🙏 Very happy to know that you found the content useful 👍👍
Thanks for this video. Now i can get height of object
I am really delighted that the video has helped u in getting object height .. thank you so much for sharing your wonderful feedback!!! 👍👍👍👍
you worked hard so you deserve a subscription & a like.
Thank you so much for the wonderful comment and support !! Really motivates me to keep trying my best👍👍👍
Very useful video
Very happy to know that you found the video useful..thank you so much for the wonderful comment 👍👍
Thank u mam, a brief explanation
Most welcome🙏🙏 Happy to know that you found the video useful 👍 👍 👍
Marvelous description Mem.
Thank you so much for that awesome feedback, really keeps me motivated 👍👍👍
Wonderful. Thank you for this video from the department of philosophy. This is what we need to educate people the best way!
Really delighted to read your wonderful comment .. thank you so much!! ..yes indeed...it would be great to see everyone understand how math is applied in real life ..😊😊👍👍👍
The vedio is very useful one
Thank you so much for the wonderful comment 🙏🙏 very happy to know that you found the video useful 👍👍
Very nice!
Thank you so much for the wonderful comment !!! 👍👍👍
jo padh rahe he wo kyu padh rahe h bataya jaata h Is chennal pe isliye grow nahi ho paa rahi... Agar likha ho JEE ya or kisi exam top karayenge to bohot log aa jaaye....
Wo sab alag baat h lekin aap bohot sahi kaam kar rahe ho ... Keep it up .. ... I hope log mathematics real life me samjhe or kitaabo se bahar bhi usko dekhe..
Good luck @enjoy math
Thanks@enjoy math
Thank you so much!!! Aapke comment ko padhke bahut khushi huyi😊😊
Mera motto- maths ko aasaan banaana hai sab ke liye...Aur mera inaaam- aapke aise support bhare comments... thank you so much 😊😊
I always wondered what is the use of it now I know thank you mam ❤
So nice to read your wonderful feedback,keeps me motivated,thank you so much !! Really happy that the video has been of help 👍👍👍👍
Nice video 📹 👍 ma'am
So glad that you found the video useful!! Thank you so much for the appreciation!! 👍👍😊😊
Thank you❤🌹🌹🙏 mam for making it more interesting for us🎉
Thank you so much !!! Really delighted after reading your wonderful comment.... very happy that you found the video useful 👍👍👍👍
Thank you so much madam.... For your greatfull dedication and Hard work for students.....🙏🙏🙏🙏🙏🙏🙏🙏 ❤❤
Absolutely delighted to read your wonderful comment!! Thank you so much!! Very happy to be of help 👍👍😊😊
It's very helpful 👍👍
Very glad to know that the video has been helpful to you👍👍 Thank you so much for the wonderful comment🙏🙏
Fantastic mam...
Thank you so much for the wonderful comment!!!🙏🙏 very glad to know that you found the video useful👍👍👍
Thank you mam
Please give more videos of other chapters 🙏🙏🙏
Most welcome 🙏🙏 Very happy to know that you found the video useful 👍👍
Thank you ..will definitely be making more real life applications videos..it would be very useful if you can give some suggestions on the topics or chapters..🙏🙏
Below are some real life applications videos already available-
Differential equations-
czcams.com/video/zm_UqjVLViU/video.html
Linear equations-
czcams.com/video/l530UxBLF1c/video.html
Quadratic equations-
czcams.com/video/Vi6q7pQnmkk/video.html
Geometric Sequences-
czcams.com/video/LNUe-5Km6d8/video.html
Integration-
czcams.com/video/iGJxxlyqrRM/video.html
Thank you so much teacher this vedio are very usefull 😘😘😍❤️👍
Most welcome!! very happy to know that you found the video useful. Thank you so much for the lovely comment 🙏🙏👍👍👍
thank you so much. This was really useful. Love from england
Most welcome!! Really happy to know that you found the video useful and thank you so much for the wonderful comment 👍👍
Thank u so much mam today my teacher gave me this topic trigonometry real life examples assignment And with the help this video I finished my assignment mam once again thank you 😁
Most welcome!!🙏🙏 Really happy that the video has helped you in your assignment...thanks so much for the wonderful comment 😊😊
Hey @Sambandam Sambandam
Actually I have also been given with the assignment "Applications of mathematics".So I have chosen trigonometry from the given topics.Could you please share some information regarding the topic? How you started......
I know its been almost one year but still if you have some knowledge than do help me.I shall be thankful to you.
This was great explanation !
Thank you so much for the appreciation!! Really very motivating for me 👍👍👍
czcams.com/video/7NpoZ14Ovis/video.html
Thank you
Most welcome!! 👍👍👍
mam this amazing video is very helpful for us please make video on use of differenciation and integration and another chapter of mathematics as well as complex and binary numbers
Thank you so much for the wonderful comment!
Really glad that you found the video useful 👍👍
Thank you so much for these suggestions. Will try my best to come up with videos on the topics you have mentioned. 👍👍
Uses of Integration video is below
czcams.com/video/iGJxxlyqrRM/video.html
Uses of differential equations video is below -
czcams.com/video/zm_UqjVLViU/video.html
Super video
Thank you so much for the encouraging feedback 👍👍👍
Kash aysa school me phadaya jata .. Mam app bhot accha phada ri hai .. But indian education system sab bekar kar raha hai..
Thank you so much, itne encouraging comment ke liye.... Yes , hopefully humara education system yeh bhi sikhaye ki koi bhi topic ka real world mein kya use hai...toh Hume woh topic better samajh mein aayega👍👍👍👍
Excellent content. Keep it up👍
Thank you so much Ramya for the wonderful comment 👍😊
thank you mam
Most welcome! Thank you so much for the appreciation 👍👍👍
i want to start from basics
Yes definitely...pls do go through the videos in the trigonometry playlist ,and let me know your questions or doubts-
czcams.com/play/PLUeuL5HZSlHz9-Z9XF76LPZaBPWQJoV_n.html&si=ceAqN1M8Ry477SC0
Super
Thank you so much for the comment!!🙏🙏 very happy to know that you found the video useful 👍 👍
This just made me excited to learn maths 😊
I am just so delighted to read your wonderful comment!! Glad that the video helped you enjoy math more!! Thanks a million for your feedback 😊😊😊👍👍👍
you help me so much
I am so glad that you found the video helpful 👍👍👍
but what's the use of LHS=RHS and hundreds of formulas?
Very valid questions!! LHS = RHS questions are not just confined to trigonometry but also in algebra , matrices etc. One reason why we study these type of questions is to master the technique of applying different formulae to convert a given expression to the required form. And as for the hundreds of formulae, yes, as we learn trigonometry in higher levels, it is the formulae that come to the rescue....In this video, simple examples have been discussed....but it's just the tip of the iceberg.... trigonometry is very useful in solving complex real life situations!!
Would love it if other viewers too share their answers to the above mentioned question.....👍👍👍
Dear mam, a wonderful effort by you.....
I didn't understand how u use Tan or sometimes sin to take out value of theeta
Thank you so much for the wonderful comment.Very happy to know that you found the video useful 👍 👍
Can you mention in which application you are having doubt in the use of tan and sin? I will definitely try to clarify your doubt
@@EnjoyMath thanks for replying mam....
1:03 y u used Tan 30° y not sin or cos.......sorry mam I'm a bit weak in maths
let us consider the right angled triangle ABC in that application diagram. Angle B = 30° and angle C = 90 °.So for angle 30 ° ( which we can also call theeta )let us identify the hypotenuse, adjacent and opposite sides . The hypotenuse = AB whose value we don't know. The adjacent side is BC which is equal to 20 feet and the opposite side is AC which again we don't know and we need to find. So Sin 30 = opposite side/ hypotenuse = AC/AB....But both AB and AC are unknown only Sin 30 value we know....so finding AC from Sin 30 is very tough... similarly cos 30= adjacent side/ hypotenuse = BC/AB ...here we know cos 30 and BC values...so we can use this equation to get value of hypotenuse AB and then put the value of AB in sin 30 equation to get value of AC...so cos 30 we can use, it's absolutely right way, but it is a bit lengthy ..that's because if you look at tan 30 equation it is tan 30 = opposite side/ adjacent side= AC/BC....and the great thing is that we know values of tan 30 and BC. So on using tan 30 equation , in one shot you will get the value of AC which we need....so there is no one and only one way to solve such questions....you are absolutely correct in questioning these answers....and come up with your own way of solving these questions.
Hope above explanation has helped. Please do let me know👍
@@EnjoyMath Mashallah mam,
You explained in such a great way.....
Do you teach somewhere.....I've some other doubts to ask if you could help...
U got a new subscriber mam
Thank you so much for your support and encouragement 👍👍
happy to know that your doubt got clarified. ...Sure you can share your doubts....will try my best to help. Yes, taking tutions for school students
Mam tqq so much such a wonderful video...mam I have an interview on applications of trigonometry....so how to prepare for this .. please help me mam
Thank you so much for the lovely comment 🙏🙏 very happy to know that you found the video useful👍👍
For the interview, here are a few pointers -
1. Be thorough with concept of right angled triangles, hypotenuse, adjacent side and opposite sides.
2. Trigonometric ratios - their meaning, sine,cos,tan,cosec,sec,cot - their definitions, how they are inter related. The identities relating the above ratios.
3. Then, learn the main areas of life that Trigonometry is most useful. And may be learn atleast 2 examples from each area. For instance, in construction, it's used for wheel chair ramp and also to design roofs.
4. For each example, have the diagram ready. Trigonometry is all about visualisations and constructing the right angled triangles.
Hope above helps.Pls let me know if you have any other doubts.
All the very best !!👍👍
@@EnjoyMath tqq so much mam
...really your videos are very helpful to me
Most welcome 👍👍
Happy to be of help 🙏🙏
The first building problem, how to measure angle? It's not like they're carrying ruler everytime, right
Yes, you are correct....we cannot measure angles with protractor or ruler....clinometer or inclinometer is used, as mentioned in the video...pls let me know if you have any questions....
@@EnjoyMath my bad. Then it's necessary to use tools for measuring things
Np 👍👍
Yes we do need separate instruments for measuring parameters of the real life objects
Thank you sister may Allah rewards you goodness and paradise
Most welcome!! Thank you so much for the beautiful wishes ..really delighted to read your comment 😊😊
❤❤
Thank you so much!! 😊😊👍👍
Hello mam I hope you are doing well🥰, it's very helpful to watch this video to understand what is the purpose of trigonometry still we don't know about this but, now we understood what trigonometry is. Please Mam can I have the ppt of this video thank you so much ❤.
Really delighted to read your wonderful comment!! 👍👍👍
Happy that the video has been of help to understand trigonometry better...
Abt the ppt, due to copyright issues that may crop up ,i am unable to share the ppt.... really sorry about it...hope you understand 🙏🙏🙏
@@EnjoyMath Ok no problem.... And thank you so much ❤️❤️❤️❤️ for giving me a time and loved your work... it's really helpful 🙏
Thank you for understanding....and for your encouraging words,means a lot 👍👍😊😊
could you please share this PPT
Sorry, but due to copyright issues,I am unable to share the ppt 🙏🙏🙏
how did you get the 0.5774?
Hello, tan 30 is 1/√3 which in decimal form is approx 0.5774.. that's the value substituted in the equation...pls let me know if you have any questions
Omg omg!!
Thank you so much 😊😊👍👍
how you are getting 0.3640 in height of lighthouse?
The value of tan 20 = 0.3640
We already know the height of the lighthouse to be AB = 60 m
Tan 20 = AB/BC
Substituting values we get
0.3640 = 60/BC
Hence BC = 60/0.3640=164.8352 m
which is the required horizontal distance.
In the video , I have done the substitution and cross multiplying together in the last step to save time.
Pls let me know if this helps 👍👍
Thanku mam i clearly mam ❤❤ pls do more videos of 10th mam pls
Most welcome!! Sure, will make more videos on 10 th grade....Pls do share the topics you want videos to be made on..that will be of great help👍👍
@@EnjoyMath ok mam i will
Hi mam i want a videos about the trigonometric ratio its little confusing i want this video from u so mam 😁
Definitely...will try my best to come up with the videos soon. Thank you so much for the suggestion 👍👍👍
@@EnjoyMath 😁ok mam
yes, it is easy, but how do you measure angles in the real world???? distance or height you can know
but not angle, there is no device
Really appreciate your inquisitive bend of mind... For angles there are many instruments such as Clinometer/Inclinometer, Theodolite, Goniometer....you can make diy Clinometer too!! Pls check the video at 1:34 , these instruments are mentioned. Let me know if you have any questions...
@@EnjoyMath Thank you,
But, how do you have all of this knowledge in depth? What's your major if I may ask? what is your educational background?
I have done my masters in computer science, but math has always been something I have loved since class 10...hence have kept learning math since then and haven't ceased to derive happiness in simply doing math problems or learning new math concepts....
Mam your explain is wonderful but your explained in kannda why we are using the trigonometry plzmam
Thank you so much for the wonderful comment!! Sorry although I stay in Bangalore I cannot converse that well in Kannada...
Mere ko blood se dar lagta h mujhe building b nhi bnani phir b ye sb prhna prta h 😂
Bahut witty comment hai aapka. Haan aapki baat bhi sahi hai😂😂😂
How we find the correct angle
Are you referring to the angle of elevation?
@@EnjoyMathyeah
@@EnjoyMathhow can we Find Angle Without any tool To Calculate Exact Value
Well, without any tool,I am not sure if the angle of elevation can be calculated in real life...i think some tool is needed,like clinometer or inclinometer...
not real life use unlesss you are in the STEM industry. real life for most people is if you want to buy something, pay for something, not measue heights of mountains or blood splatter
Hello, yes I agree with u...these are not daily uses, we don't use trigonometry to manage our day to day activities....but their concepts are used to construct the homes we live in, in astronomy,it's used in forensics....these are real life applications, not daily life applications ....
@@EnjoyMath real life use case for me is something more practical in daily life, say maybe, something for the general populace, not inolved in STEM. Thanks for clarifying that
@@lug.5329 Yes, i can totally relate to your point of view....it's important to have that type of thinking in order to discover new ways of applying existing concepts... We all need to keep questioning and try making math more relatable....we are all in the same boat 👍👍👍👍
Are you Indian?
Yes, from Bangalore, India 👍
Mathematics is language of universe
That's so well said !! Hope and wish that more and more of us start thinking in this way....then we can learn math with less anxiety and more enjoyment 👍👍👍👍
how to mark angle at our line of sight while we are looking it
Hello, there is an instrument called inclinometer that helps to find the angle of inclination...you may research the details about it's working...