Yikes, it looks like I accidentally used numbers for the side lengths in the checking comprehension that don't abide by the Pythagorean Theorem! How embarrassing. Luckily it doesn't really change what you're doing, but my apologies for this ridiculous error anyway.

@williamadams137

5 жыл бұрын

Professor Dave Explains use a 5 12 13 triangle

@helenday5031

4 жыл бұрын

ProfDave. I didn't actually notice, as I'm not that knowledgeable yet on Pythag triangles. And others users of this site may feel the same as me, ie, so grateful for your marvellous lessons that the odd , small normal human flaw is entirely forgiveable and doesn't matter.

@pinklady7184

3 жыл бұрын

That must mean your brain was overworked and thereby your concentration dropped.

@asharalam12

2 жыл бұрын

@@williamadams137 hr

@asharalam12

2 жыл бұрын

Yehuh. Help. Hei Sjisjuvjbdhhbd buns Snhsheienzken! Silbsj Nsjs.ksnj Bsmje Ndjjsnssmms Jmshsj Snsmsjsks Jss.hs Shs Zis Ssksjsnss Kss Snssnnsjsjs Msnsnnsndhdhhdhdhdhbx Jdjjsnsjsjjsjsjsjjx d Njxjdnsjsnjdjsjsm x k Dxj.djjnnnn

when I mostly needed it thanks Jesus

@Ahmed-ii7up

4 жыл бұрын

No, thanks, professor Dave.

@majesticdoge1163

3 жыл бұрын

No, thanks, Cr1tikal

@vertiigo.

3 ай бұрын

No,thanks,One God and dave

@jeremylemans3005

2 ай бұрын

No, thans Soh Cahtoa

I really love the approach you take to working with these concepts. I have been running away from any form of math for over 50 years, but, now, thanks to your vids, things are making sense, and I am really enjoying spending time taking notes and solving problems.

@bpgmemes1813

8 ай бұрын

that's really cool

@KeepFightingStruggler

7 ай бұрын

Wow man, great job and keep it up

I am going down a rabbit hole; I started from cellular membrane potentials to electricity to electron fields to the electrodynamics to the quantum mechanical definition of energy to chemical bond energy to atomic orbitals to Schrodinger's equation to trigonometry. The moment I heard "SOHCAHTOA" brought back a flash of highschool physics classes. I wish i paid attention in highschool.

@alexbellury

Ай бұрын

Haha same I'm going back over high school math since at least in the US the foundation we build on is so poor. I finished Calc 2 and was about to go into linear algebra but I've decided to go back and fill in the gaps that have held me back. Good luck on your journey! I'd be interested to see what you're learning now.

@larryzhang8557

28 күн бұрын

@@alexbellury Same here. Going over calculus and linear algebra for studying machine learning. Trig is the thing that really holds me back. Good luck guys. (I laughed instantly and knew what he is about to say when I saw "rabbit hole", lol)

@catnip6316

7 күн бұрын

​@@larryzhang8557Hello there, sorry for replying to you comment I have no choice but to since you're the only one with a recent comment. I was wondering if you can explain to me how did they evalutae the 60° angle at 5:10 I somehow did not understand, sorry🥲.

Prof owe you!! No other like you or somewhat near to be like you.. have ever came up! ❤️

I took a look at your channel, and I have lots of respect for you. Multiple playlists about different subjects, and all of such high quality. I watch this videos everyday, because I dream to just be good at math, and there is already a lot of improvement. I have been watching since December, it is March now. Thank you, from the bottom of my heart.

Professor Dave ,thank you for a short and outstanding video on Trigonometric Functions. These classical Trig functions are the heart and soul of Trigonometry.

When I was in college, I used to joke that I’d name my daughter SOHCAHTOA and my son IUPAC. You’re a chem guy so you’ll get that. Yeah, I love it that much.

My sincere gratitude to you, professor Dave.❤

Wow, this was some seriously good explaining.

The title Prof. and the into were enough for me to sub hahaha. (I'm a C programmer btw, but my terrible past in school made me have to go back to this stuff haha. Life's weird.)

@whenthethebeansstrikeback6728

3 жыл бұрын

I see you're a man of Memory Allocation as well

Thank you so much professor, really that helped me alot

I didn't think I would learn 6 trigonometric functions from a 7 minute youtube video. This was really helpful

Hi Professor Dave, I wanted to ask if these functions for all triangles or only for right triangles(because you mention hypotenuse). If they only work in right triangles, in the comprehension check, you listed a triangle with legs 8 and 3 which wouldn't have a hypotenuse of 11.

@ProfessorDaveExplains

6 жыл бұрын

Yikes what an error! Put that on my list of most egregious mistakes.

Subscribed, very good graphics and explanation 👍

Your explanation is truely excellent... It clear so much concept of my Trigonometry..

i finally get it! so fun! thanks!

Thank you so much sir, this was really helpful ❤️❤️🙏

Thank you very much! Finally, I understand something after one semester of no understanding

@smj5785

2 жыл бұрын

Same 😂

@quiruzjamesallenf.6578

2 жыл бұрын

Same

Thanks a lot Prof Dave🙏

thank you so much. I cant tell you how much easier this made my life

Amazing tutorial!

Thank you, Professor!

You sir are single handedly saving my butt this semester

All the respect to you, Sir ❤

I was waiting for these certain tutorials for four months!!!!

@ProfessorDaveExplains

6 жыл бұрын

patience pays!

@Professor Dave Explains I just wanna mention that the triangle at 6:19 wouldn't even be a triangle since 8+3=11, meaning the triangle would be a line..

Dave, you're awesome!!!

what is the purpose for having a reciprocal of original trigonometric functions if it is basically just reversing the position of lengths in the ratio?

thanks for the video!

you are a legend bro All Love For You

Hi, I have a question; @4:44 for the 30-60-90 triangle why is one side square root 3. I understand it's a rule but what's the reason or method of finding that? (I didn't see the geometry videos)

Thank you, I can understand math better at school now!

Thank you ❤😊

I've been living in cyprus for less than 2 years and my greek is not so good, so I can't understand the trigonometry easily but THIS guy can help me learn it on my second language Which os english(yeah I'm flexing) and translate them into greek So thank you legend

@shinoahiragi7624

Жыл бұрын

what's ur first language ?

Professor, which app do you use? Thanks

the best teacher on the internet

@aleksszukovskis2074

4 жыл бұрын

3blue1brown is a great alternative too

GOD THANK YOU FOR THIS GUY !!!!!!!!

@notsosmart3288

4 жыл бұрын

man he is jesus afterall

Thanks. You saved the day

It help me a lot, thanks

i can't believe im using this for minecraft...

From the best KZread teachers

In the hyperbolic functions video, you explained that sinh x = e to the x - e to the -x all over 2. Is there a formula like this for the regular sine (or any of the other functions for that matter)?

@carultch

2 жыл бұрын

The answer is yes. And it involves imaginary exponents, and imaginary coefficients in the case of sine. Cosine is the easiest to remember in this form, and knowing that cos(x) = d/dx sin(x), you can derive what sine(x) needs to be in terms of the natural exponential. sin(x) = (i*e^(-i*x) - i*e^(i*x))/2 cos(x) = (e^(i*x) - e^(-i*x))/2 You can see the parallels to sinh(x) and cosh(x), because: sin(x) = -i*sinh(i*x) cos(x) = cosh(i*x)

@thewierdragonbaby4843

2 жыл бұрын

@@carultch Thanks for the reply. Back when I wrote this comment I understood what imaginary numbers where but struggled to find a formula for sine anywhere on the internet and this would've really helped. Although I actually found a video on it in the meantime and if I had remembered I would've deleted this comment but I forgot. Thanks for the reply anyway

thank you very much!❤❤❤

u r just fantastic!! youtube justified its existence with you;

Prof i love your chanal so much i considered subscribing

Thanks professor

Thank you, thank you, thank you, thank you, THANK YOU! Jeez been stuck on college precal on this. I'm like, "WTF IS SINE!" The book we were provided didn't have the SOHCAHTOA abbreviation. That's so awesome!

@clashofroyaleclans9592

2 жыл бұрын

I am also so thankful for this video. This really helped me for my seventh grade exam!

Wow. My self surrendered to this explanation

What grade maths is this in the US ?

Great tutorial (addendum corrects errors so no biggie). May I ask what you used to animate starting at 0:25? It's neat and clear.

@ProfessorDaveExplains

3 жыл бұрын

adobe after effects!

@ccuny1

3 жыл бұрын

@@ProfessorDaveExplains Nice work. Thanks a lot.

Thanks!

Thank god I can watch a quick review before my math final today

I learned more in 7 minutes than my teacher taught me in a month

Wow! Thanks!

thank you sir

ur a life saver

1. Some People Have = Sin0=Prependicular/hypotenuse 2. Curly Brown Hair =Cos0=base/hypotenuse 3.Tidy Pant Bushet=Tan0=prependicular/base

Thanking you.

After much practice I totally get it

I feel like a genius after learning “SOHCAHTOA”

Very good

God, I hate trigonometry. This was helpful though

@INVALIDZEROTheTitSucker69

Жыл бұрын

Why? This is fun

@Siduch.

Жыл бұрын

@@INVALIDZEROTheTitSucker69 🤓

@thatomofolo452

Жыл бұрын

😮

@_Zh4dow_

10 ай бұрын

​​@@Siduch.W?dym trigonometry makes me twerk 73 times per second

@Israa0000

7 ай бұрын

​@@_Zh4dow_literally omg 😭😭😭 trig 🔛🔝

Wish there is acronym for the other 3

Some Old Horses Can Always Hear Their Owners Arrive

i dont get its since my teacher puts x and a number and you dont know what the length of the other side and he gets x= 3/2 and y= radical 2/2

Thank u🥹

thanks

Thank you so much sir for this valuable content that you are providing for free. May god bless you 😊.

@vicentpen1656

2 жыл бұрын

Dave is a admirable educator.Always give us high quality Instructional video.And all of them are free.Bless him.

if theta is an angle in right angle triangle it should be compulsorily acute angle then why we care about 2,3,4 quadrants please respond

@ProfessorDaveExplains

3 жыл бұрын

Because the triangle itself is located in those quadrants. Start the trigonometry playlist from the beginning, it explains the stuff you need before this one.

Ifsec(x)cos(x)=sin(x), how does sec(π/2)cos(π/2)=sin(π/2)=1?

Still clueless, but I did jam a melody to the music at the end. Win!

This video more usefulness 👍👍

3:37 don't get confused between substitution a=a and a=b

I just memoize the most important results to remember, which ratio is sin/cos/tan

@neonknowledgehub9172

3 жыл бұрын

1

Thank u so much...u

thank you

@tGoldenPhoenix

2 жыл бұрын

Done.

"The sine of theta" sounds like an Elder Scrolls quest

Good

I am just here because I need more info on the tan, sin, cos, cot, csc, sec, floor, and ceiling, blocks in scratch and yet here I am, a 12 year old at 8:54 learning trigonometric functions. I also have a B in math.

thank you math jesus

4:35 As we recall from geometry

I want to learn this to impress my class

who else is cramming for trig the night before their final exam 🙋

Sir where did square root of 3 come from

@carultch

2 жыл бұрын

The 30-60-90 right triangle is a special right triangle, that is exactly half of an equilateral triangle. Start with an equilateral triangle,, with the bottom side horizontal, and all side lengths equal to 1. Label the corners, A, B, and C, proceeding counterclockwise from the right point. Now split the line AC in half, and call the midpoint D. We now have a right triangle, A, B, D. The angles of all sides of an equilateral triangle is 60 degrees, and since the angle at point A remained unchanged, its angle is 60 degrees. The angle at point B was cut in half, so it is now 30 degrees. The angle at D is a right angle. We know side length AB, which is the original side length of the equilateral triangle, which of course is 1. We also know side length AD, because it is exactly half of AC, which was 1. Therefore we know side length AD to equal 1/2. Set up lengths AB, AD, and BD in the Pythagorean theorem. AD^2 + BD^2 = AB^2 Solve for BD: BD = sqrt(AB^2 - AD^2) Plug in AB = 2 and AD = 1 BD = sqrt(1^2 - (1/2)^2) BD = sqrt((2/2)^2 - (1/2)^2) BD = sqrt(4/4 - 1/4) BD = sqrt(3/4) BD = sqrt(3)/2 We now show that triangle A, B, D has leg 1 equal to 1/2, leg 2 equal to sqrt(3)/2, and a hypotenuse of 1.

Amazing No words to describe you Love from India❤️

Hello Dave I'm vijay from India...sohcahtoa is top notch.

@carultch

2 жыл бұрын

सीन: ओपपसिट ओवर हीपाटेनूस कोसीन: आझैसेनट ओवर हीपाटेनूस टानजनट: ओपपसिट ओवर आझैसेनट

I was looking for this topic for my game engine and look who I found, its Chemistry Jesus ☺️. Thank you Chemistry Jesus

A month of maths in 1 video

thank you math Jesus

An 8-11-3 right triangle?!😂

@ProfessorDaveExplains

4 жыл бұрын

argh i know, one of the dumbest errors in the history of the channel!

@redangrybird7564

4 жыл бұрын

@@ProfessorDaveExplains I think you can re-upload a corrected version of the video in the same video place and don't loose "likes".

@ProfessorDaveExplains

4 жыл бұрын

unfortunately you can't :( otherwise there are about a dozen videos i would have updated a long time ago

@redangrybird7564

4 жыл бұрын

@@ProfessorDaveExplains so, if you re-upload you loose the likes? Or definitely you can't re-upload in the same place? I have seen other channels re-upload newer or corrected versions of their videos. Anyways, good videos, I have learnt heaps. Thanks. Take care ✌😷

@pinklady7184

3 жыл бұрын

I was looking at that too.

thank you charlie white

God, I love trigonometry. This was helpful though

Hi❤❤❤

top

PBP HHB

S O H C A H T O A 🤝🏻

Hello, but 8,3 and 11 is not a Pythagorean triple 😇

6:23 cannot be a triangle @Professor Dave Explains

@ProfessorDaveExplains

3 жыл бұрын

yeah that's my bad

Hi sir Yr abbreviations @ 1:17 are confusing.U mentioned Sec for Cosine while Sec is for Sine. To avoid confusion pls use standard abbreviations as follows Sin Sec Cos Cosec Tan Cot

@ProfessorDaveExplains

5 жыл бұрын

I'm not sure what you're talking about, csc is the abbreviation for cosecant, they are correct as shown.

@glasssmirror2314

5 жыл бұрын

Hi Prof Dave Tks Prof as @ 1:17 these abrvs are aligned but then realised they are reciprocals.