Tangent Wave | Tan Function | Trigonometry | Explanation on a Giant Wheel | Slope | Learnability

Learn the fundamentals of a Tangent Wave! It is extensively used in physics, engineering, mathematics, and countless other fields. A giant or Ferris wheel is used as an analogy to explain the concept.
For this video, although slope of a vertical line is "not defined, n.d. " in mathematics, we've shown it as infinity on the giant wheel. Introducing "n.d." in explaining the concept of tangent wave is a good idea but causes unnecessary confusion for students. When a student reaches higher level math in their career, the difference in n.d. and infinity becomes clearer and fundamental. That is the right time to dig into it, when one realizes the flaws in math itself, giving it the prestigious name of "not defined" or in other words, even mathematicians saying we know how to define it! So apologies for using infinity and undefined together.
High school and undergraduate physics, math, and other sciences may benefit from learning fundamentals of this very useful waveform
Appreciate your time and thank you for watching my videos! It would be great if you would hit the thumbs up button, subscribe, and share the video with somebody who might be interested in this topic.
More videos to follow!

[@ravindrakamble9208]

OMG I have learned at the age of 61 years about the importance of the Sine ,Cosine & Tangent Thank you very much please make video like this

[@RoseUniversity]

Thanks for the appreciation and supporting Learnability. Means a lot!

[@geromiuiboxz765]

🇨🇱 Well, I learned it at about 17, but understood it now with your video, at 75 😀 Saludos de 🇨🇱

[@shashidharshettar3846]

Same here and I’m 69 yrs old

[@kennithlambert2563]

I agree, I'm 65 and I have this obsession with the unit circle and trigonometry in general.

[@williamthompson2866]

This is the best explanation of a tangent line I have ever seen or heard. Thanks!

[@RoseUniversity]

Thank you Bill! Your appreciation definitely motivates us. And of course thank you for supporting Learnability.

[@ProfNandishPatelPhD]

Amazing video! I thought i'd never understand this. Your video made it so clear. As Einstein said make it as simple as possible but no simpler. You just did! And it become so clear. Thanks you! KeepSmiling :)

[@RoseUniversity]

Great to hear! Thanks for the appreciation and supporting Roseuniversity.org Prof Nandish

[@bahauddinalam]

I'm lucky that I found a gem! And thank you for your precious content!❤

[@RoseUniversity]

Thanks! we're luckier to have you appreciate and value Learnability!

[@bahauddinalam]

@@RoseUniversity Please upload more new videos on mathematical topics! 😊

[@RoseUniversity]

Sure! We are now working on RoseUniversity.org. Will add videos explaining technical courses and eventually aim to start an accredited university. We'll explain concepts atypical to university mainstream lectures. Again, your appreciation means a lot and is very encouraging

[@anonyone8834]

This is the best explanation,it deserves for views

[@RoseUniversity]

Thanks for the appreciation!

[@bernaridho]

I like it that you prefer sine over sin, cosine over cos, tangent over tan. I'm sick of the latters. The conventions make learners too nerdy, and alienate commoners. Great!

[@RoseUniversity]

Agreed! We always want to simplify physics and math. Its already hard enough, abbreviation and conventions really don't help. Thanks for supporting the channel and Roseuniversity.org

[@yosefali9453]

What a great way to explain trigonometry. Thank you so much for the simplified content 🙏 I smashed the like and subscribed

[@RoseUniversity]

Thanks for the appreciation and supporting Roseuniversity.org Yosef!

[@palaniv4207]

Really superb explanation and illustration. It shall be further excellent If it reaches all electrical engineering colleges .

[@RoseUniversity]

Thanks a lot! We are working on organized videos that will cover all topics of electrical engineering turning Learnability to Rose University. Please see roseuniversity.org. Thanks for your encouraging comments and supporting the channel!

[@nasrinsultana2133]

Thanks a lot. You are the best teacher I ever seen. Your classes are so many helpful😊😊❤❤

[@RoseUniversity]

Thanks for the encouragement Nasrin!

[@sheshathri5099]

Bro, i really liked this video,and it gives me a complete understanding

[@RoseUniversity]

Thanks for the appreciation and supporting the channel!

[@kennithlambert2563]

Thanks, I was trying to graph a tangent wave and your video really helped.

[@RoseUniversity]

We're glad it was helpful! Thanks for supporting us 😀

[@lodgechant]

Another utterly brilliant introduction to the fundamentals of trig. Thank you!

[@RoseUniversity]

Thank you Andrew! Glad it was helpful

[@bpkbpk4416]

I saw almost 200videos but no one said this much perfect

[@RoseUniversity]

haha! Thanks for supporting the channel and Roseuniversity.org

[@reetbedi7617]

Very knowledgeable video. Thanks for sharing 😊

[@NexushasTaken]

ohh my gosh, for all of videos i watch a about tangent is hard to understand and hard to visualize. this video makes me understand tangent!. Ty! pls make more vidoes about other trig functions such as cosecant, secant, etcc..

[@RoseUniversity]

Thanks so much! We'll make more videos and we appreciate the topic suggestions Nexus!

[@sayedhassanphysics8491]

❤ Amazing ❤ well done 👍 go on 🌹🌹🎈

[@RoseUniversity]

Thank you so much!

[@markmcleod6376]

Wonderful explanation! Thanks so much!!!

[@RoseUniversity]

Thanks!

[@unlimitedtimez341]

clearest series of math videos ive every watched thanks so much

[@RoseUniversity]

Glad you like them! Very encouraging! Thanks for supporting the channel and roseuniversity.org. If you're located in the US, please check out our amazon store for some educational wall art! amazon.com/photonability and click on the educational category. Thanks!

[@marciorjusto]

Fantastic explanation about slopes and tangents!!! Thank you!

[@RoseUniversity]

Thanks so much for the appreciation!

[@praneshgk2298]

Best video 🎉

[@RoseUniversity]

Thanks!

[@amgsworld2617]

Thanking you from the bottom of the heart❤😅🎉!......😊

[@RoseUniversity]

Thanks for supporting us!

[@Natyine]

this is actually good

[@RoseUniversity]

Thanks so much for the appreciation and supporting us!

[@hkgfhg]

Great video, thank you.

[@RoseUniversity]

Glad you liked it! Thanks for supporting us!

[@josephcj5325]

Very good

[@RoseUniversity]

Thanks for supporting the channel!

[@AbC-bj3gs]

no words to express, learnt so easily and much💖💖💖💖💖💖

[@RoseUniversity]

Thanks so much for the appreciation!

[@vinialves12362]

Mind blowing

[@RoseUniversity]

Thanks for the encouragement and support!

[@DaPashtoSazAwaz]

Excellent.

[@RoseUniversity]

Thanks for the appreciation and supporting Roseuniversity.org

[@user-iz2bv9yn6t]

Fantastic Explanation Sir. I wish my school teachers had given such beautiful explanation.

[@RoseUniversity]

Thanks a ton!

[@bawadevau]

Thanking you....

[@RoseUniversity]

Thanks for supporting the channel Harish!

[@changramidanremamarak3957]

I subscribed today watched many videos today

[@RoseUniversity]

Thanks so much for subscribing and supporting us! Really appreciate it

[@nigellovatt9982]

Subscribedddddd!

[@RoseUniversity]

Thanks for supporting the channel and Roseuniversity.org

[@pfever]

Excelent video series! but 6:00 any number divided by 0 isn't infinity, it is undefined.

[@RoseUniversity]

Correct! Thanks for supporting us

[@Jepleg]

make a video on the secondary and inverse trig functions please!!!

[@RoseUniversity]

Will do! Our next video will be on all about light. Please vote on our polls too! Thanks

[@radekhurkaa8610]

extremaly good explain, thank you.

[@RoseUniversity]

Thanks for the appreciation and supporting the channel!

[@jaishreewasnik]

OMG our teachers never told how these graphs formed so until watching your video it was mistery for me.thanks for such videos .How you learn it bro ,from which university you are???

[@RoseUniversity]

Thanks so much for the appreciation! Professors of Learnability are from various universities in New York teaching physics and electrical engineering

[@user-qg4uz9dv5o]

thank you so much

[@RoseUniversity]

Thanks for supporting the channel!

[@shototodoroki6822]

Urghhhh u save me thx 🤭💜💜

[@RoseUniversity]

Hi Shoto, thanks for the appreciation and supporting roseuniversity.org and learnability!

[@TaimTeravel]

This channel is so underrated. Thank you for teaching us.

[@RoseUniversity]

Glad it was helpful!

[@majeedkpa]

Really nice

[@RoseUniversity]

Thanks!

[@bpkbpk4416]

Exlent super marvless

[@RoseUniversity]

Thank you so much 😀 Thanks for supporting the channel and Roseuniversity.org

[@Garfield_Minecraft]

make a playlist about every waves pls

[@RoseUniversity]

Done! kzbin.info/aero/PLXu24or6p6KM27XnOzs9-hm1W0_m7u0P- Thanks for supporting the channel! Much appreciated

[@pengyuzhang1179]

great!!!!!!!!!! thank you sir,!

[@RoseUniversity]

So nice of you! Thanks for supporting Learnability and Roseuniversity.org

[@SHAYAR_EE]

Dear Sir, Pls make a video on origin of sin cos tan with the help of animation. Where it is come from. Concept behind these.

[@RoseUniversity]

Hi! We made a video on Sine and Cosine too! please check it out on the channel page. Thanks for supporting us!

[@MdZahid-bb8xj]

Amzing

[@RoseUniversity]

Glad it was helpful!

[@MdZahid-bb8xj]

@@RoseUniversity keep making this types of videos.

[@RoseUniversity]

Will do! Thanks for the encouragement, means a lot

[@CodeBadger-xh6xg]

I hope you do more of these!

[@RoseUniversity]

Will do! Please give suggestions for topics too and thanks again for supporting us!

[@MF-ty2zn]

Love this video!

[@RoseUniversity]

Thanks for the appreciation and suggestions!

[@PandaiTheTarshed]

Thanks

[@RoseUniversity]

Welcome! Thanks for supporting the channel and Roseuniversity.org

[@SK18459]

please continue making videos 🙏🙏🙏

[@RoseUniversity]

Will do! Thanks for supporting Roseuniversity.org

[@johnnyparker9928]

I've discovered I take bits of information and disect them as they come causing me to miss other bits. So excuse me while I review this video 7 more times.

[@ndailorw5079]

Great stuff! Great study and insight! Thanks!

[@RoseUniversity]

Glad it was helpful!

[@--PREMIUM--]

5:54 --- 50/0 is neither "infinity or a very very large number". So what is it? -- It is a wrong question to ask.

[@RoseUniversity]

Hi E Z, please read our comments. You're absolutely right. A number divided by zero is n.d. When the denominator is very very very small and positive, its + Inf; and when very very small but negative, its - Inf. Those are the jumps in the graph, and of course the n.d. lies on the dotted vertical line that can't be plotted. The key is to understand that fundamentally the tangent curve is just the ratio of the sin to cosine. Thanks for supporting the channel!

[@shakhzodbekbozorov7866]

Here's said that tangent is parallel to line inside the circle but it's written often everywhere that tangent line is always perpendicular to the "radius" line, how's that please explain

[@RoseUniversity]

Hi! Actually, “a tangent is always perpendicular to the radius” is sort of a confusing statement for students. In reality, a tangent is a simply a straight line that touches a curve or curved surface at a point, but if extended does not cross it at that point”. The curved surface here is the circumference of the circle. When we explained the concept of slope in this video, we used a line inside the circle. Turns out, it is the same as the radius. Then we showed that the tangent is simply parallel to that line to prove the slope graph stays the same. To understand further, you may start with any tangent on the circle of your choice and rotate it around and plot its slope. All that would change is where you would start and end on the tangent wave. Another way to look at this, if you draw another radius vertically up from the center to our chosen tangent and it’ll be perpendicular the tangent and your statement would hold true. Hope this helps! And thank you for supporting the channel.

[@shakhzodbekbozorov7866]

yes, I checked in Desmos graph and there I found two concept: "tangent line" and "tangent function"... so in "tangent function" there's a line that perpendicular to radius but "tangent line" it's the stuff that you explained here: "a simply a straight line that touches a curve or curved surface at a point"....so I'm little bit confused when to start with and how to imagine it in my head))

[@RoseUniversity]

Sure, it can be confusing. Here's the distinction: - A function is something which would take an input and give out an output. So a Tangent function would be Tangent(45 degrees) = 1, where 45 degrees is the input and 1 is the output. f ( input ) = Output where f or function here is a tangent. - A tangent line is what we discussed, different from a function with an input output relationship. Tan function is added to the title of the video so when people search for it, this video provides an insight into where the tan function comes from. Again, Tangent Wave is a function where the input is the horizontal axis, and the output is the vertical axis.

[@shakhzodbekbozorov7866]

​@@RoseUniversity Thanks a lot! I'll have to do some more research and learning, but your videos really helped me gain insight into trigonometric concepts.

[@RoseUniversity]

Glad they were helpful!

[@sonnyl2915]

😮

[@MF-ty2zn]

Please do SEC and CSC too.

[@RoseUniversity]

Will do! Thanks for supporting Learnability | Roseuniversity.org

[@hexjusththicamrack5712]

Next: cosecant, secant and cotangent

[@RoseUniversity]

Thanks for the ideas! Thanks for supporting the channel and roseuniversity.org

[@koyvon4455]

Tan creates a infinite tangent wave caue it starts as 0 then goes to infinity and make a huge drop to -infinity

[@RoseUniversity]

Yes Sir! Thanks for supporting the channel and roseuniversity.org

[@magicjim1]

The slope of a vertical line is not infinite. It is undefined. There is a difference.

[@RoseUniversity]

You are correct! Please see description. We tried to keep things a little simple to explain the concept. Thanks so much for supporting the channel Jim

[@DmitryLubenskiy]

Hey! Catch the like #600 :)

[@RoseUniversity]

Haha! Thanks!