I missed a Math Teacher like you 50 years ago.. I m fine tuning my Math after retirement and found great fun in learning. It is the greatest revelations in my life.... and the most enjoying moment in my life.. I missed a lot in those 50 years.. Retired Chief Engr, Kuwait Airways, Kuwait..
Dear Eddie, I totally ran out of words to thank you. You are fudging awesome. You are the epitome of creative mentoring. Not many have the magnanimity to share or teach others what they have hard learnt. Hats off Eddie. Keep going. Thanks a billion from India!
I did so many problems entitled "Prove that" as if I was a robot back in the school. Now, I want to know the real thing and here you are leading me by the hand. Thank you Sir (Guru)
And this is the question I asked from many teachers. How trig ratios works for quadrantal angles and reflex angles. I got my answer from this video. Thanks Eddi thank you so much
Eddie Woo, I REALLY WISH YOU WERE MY MATH TEACHER IN HIGH SCHOOL!!! YOU ARE AWESOME!! I managed to understand from your few-minute videos, things i would maybe understand after few months in school! Keep uploading videos! :-) I'm Roni, i'm 33 years old. Best regard from Israel :-)
Hi Eddie, I have recently discovered your videos and I love them! I am a pre-service Maths teacher and have a Maths BsC and you are helping me fundamentally understand concepts that I only had memorized at school/uni. Thanks for all your hard work, I am taking lots of mental notes about how to teach traditionally "textbook" topics!
I'm so lucky that I have a teacher like you............ First of all I would like to thank you so much sir..... To clear all my doubts about this and also thanks to give the basic concepts (tricks) to understand this concept....
Watched this and part 1 yesterday and had to come back and say thank you so much!!! I finally understand the unit circle!!! Hopefully, integral calculus will be much easier for me now. I already failed it once!!!
Thank you Eddie. I'm taking physics but I haven't done anything with trigonometry since high school geometry (about 20 years ago) and was frustrated because I want to know what is going on in the calculator when we use the Sin, Cos, and Tan functions because I don't want to be forced to rely on my calculator. I will definitely be watching more of your videos and have subscribed.
Look up the Taylor Series. It isn't specifically what goes on in the calculator, but it gives you a general idea of the working principle that is easiest to understand, and build yourself. Essentially, it is derivative matching at a given point, so that we find a polynomial that matches the position, slope, and curvature, and higher orders of derivatives, to calculate the function. Actual calculators use other algorithms that are more efficient to compute, but require more advanced knowledge to understand.
I have a question - maybe somebody here can help me? I have to solve the task "find the corresponding cos-value for sin(x)=3/5. My textbook only gives the positive solution of cos(x)=4/5. But if the angle x happens to be obtuse, I should get -4/5 as an answer as well, right? Given that I don't now the size of x, I should state both solutions, unless talking specifically about a given triangle, correct?
Is there any way to calculate cos and sin with only the angle and no calculator. For example cos11 for a unit circle? Im looking online and seeing something about Ptomeleic charts...Are the non standard angles (not 30-45-60-90 etc.) therefore empirical derived and referenced from a chart?
Yes. I have heard of that acronym. However I think that it is important to have the first quadrant represented first in the acronym, hence to start with "A".
What did the obtuse angle say to the acute angle, when they started fighting with each other of how much of the circle each should have.... They said "You annoy me, and you better watch my reflexes"
Mr. Eddie Woo. First of all congratulations on your extraordinary teaching. What you are leaving behind is a legacy. Pythagoras would be proud! There is only one thing I am wondering about as a math teacher as well. Do your students have to copy your writings on the board? PS Thank you for your commitment to teaching!
When the angle theta is 0 degree, there is no triangle and the the side which was once the hypotenuse coincides with the x axis whereby the adjacent side's (cosine) value becomes equal to the radius of the unit circle which is 1 unit and the opposite side (sine) is no longer present so its value is 0.
@@diegojoaquinsanchezalatris6670 The prefix "co-" means "of the complimentary angle". Meaning cotrig(x) = trig(90deg-x), which is true for cosine, cotangent, and cosecant.
I'm not 100% sure that last bit about the calculator being taught the unit circle is true. I think most calculators actually use Taylor series approximation to calculate trig function values, but I'm just bein' pedantic.
It turns out that calculators don't use the Taylor Series. In concept they could, but there are better methods that are more computationally efficient. Chebychev polynomials are a common alternative to use instead, as they converge a lot faster and get you more accuracy in fewer program steps. The Taylor series is a useful tool for introducing the concept of an infinite series, and has many applications within Calculus itself, but while it may seem to be a good idea as an algorithm for trig functions, there are better methods.
what was the need mentioning nationalities and people? actually, Eddie Woo is not from India; from his name, he seems to be from China. I have great respect for Indian educational system; they used to be teaching through all over the world some years ago.
I know this is more than a year, but Eddie Woo was born in Malaysia. He is a chinese though. The family name, or surname Woo, hints that he is not from China, because in the Pin Yin system, there is no Woo, only Wu. China's Chinese must adhere to that system, while Chinese elsewhere just spell it as they would pronounce it.
@@dunnomuch3 Eddie Woo was born in Australia. His parents are are ethnically Chinese, and immigrated from Malaysia. So you were close, on your account of his background. Interesting observation about the spellings of surnames, it also explains why the surnames of Wang and Huang, often get respelled as Wong. The Pinyin system did a good job of capturing the essence of Chinese pronunciation, and trying to map it onto the prevailing norms of English letter pronunciation, as best as possible. Not an easy task, when even the homeland of the English language is so inconsistent. It's good that it was developed by a native Chinese speaker, as a native English speaker would probably miss about half the details trying to come up with the same system.
I missed a Math Teacher like you 50 years ago.. I m fine tuning my Math after retirement and found great fun in learning. It is the greatest revelations in my life.... and the most enjoying moment in my life.. I missed a lot in those 50 years..
Retired Chief Engr, Kuwait Airways, Kuwait..
Best Unit Circle lesson ever. 😊❤️Even a rock would learn math, if Eddie teaches.
He teaches very clearly through deeper head What ever questions use to come inside me means why we do all are clearly done no worries now 😀
Not all heroes wear capes, and clearly you're one of them...
Dear Eddie, I totally ran out of words to thank you. You are fudging awesome. You are the epitome of creative mentoring. Not many have the magnanimity to share or teach others what they have hard learnt. Hats off Eddie. Keep going. Thanks a billion from India!
“I have a meaning for it because the unit circle gives me a meaning”
Dude that’s beautiful 😂
9 years later and this video still was helpful for me,thanks Mr Woo
:)
Such a life saver man. It’s actually crazy.
You are a really good teacher, and thanks for making more sense about the unit circle.
Absolutely love the way this guy teaches, AMAZING!!! Really helping other students across the globe and making an impact 👏 What a tank
I did so many problems entitled "Prove that" as if I was a robot back in the school. Now, I want to know the real thing and here you are leading me by the hand. Thank you Sir (Guru)
Oh my goodness it finally makes sense where ASCT came from! Many thanks 🙏🙏
these 2 videos have taught me more than my professor has in 4 weeks. love you Eddie woo
Wow i spent the whole lesson confused and 21 minutes youtube fixed it. Thank you
I like how this lecture was given on my birthday, 6 years ago.
I have spent hours trying to understand this concept but you sir are a legend
And this is the question I asked from many teachers. How trig ratios works for quadrantal angles and reflex angles.
I got my answer from this video. Thanks Eddi thank you so much
"Master" 🙏🙏🙏😌 I bow down to you
Smoothest way to explain it. Beautiful!
Eddie Woo, I REALLY WISH YOU WERE MY MATH TEACHER IN HIGH SCHOOL!!!
YOU ARE AWESOME!! I managed to understand from your few-minute videos, things i would maybe understand after few months in school! Keep uploading videos! :-)
I'm Roni, i'm 33 years old.
Best regard from Israel :-)
yo are u still alive
@@JamesBainbridge-xn7rn of course 🙂
Cheers finally got a coherent explanation of this.
"All Students Take Cocaine" - Eddie Woo 2k15
I'm not sure I would have shared this version with students.
@@brianrichardcompton381 Yeah those students are suddenly going to find out what drugs are, now!
You forgot 🤷🏻♂️🤷🏻♂️🤷🏻♂️🤷🏻♂️
Haha! Very true
😂
THANK YOU!!!! I've been having the hardest time with this and you explained it so well!!! ❤❤❤❤❤❤
u make math look cool
i use CAST to remember it from kenya. you have been a great help TR
Hi Eddie, I have recently discovered your videos and I love them! I am a pre-service Maths teacher and have a Maths BsC and you are helping me fundamentally understand concepts that I only had memorized at school/uni. Thanks for all your hard work, I am taking lots of mental notes about how to teach traditionally "textbook" topics!
I'm so lucky that I have a teacher like you............ First of all I would like to thank you so much sir..... To clear all my doubts about this and also thanks to give the basic concepts (tricks) to understand this concept....
You indeed are a real hero 😇
Eddie Woo can make anyone fall in love with maths. Wooo!
this is the best explanation i've ever got
"It's not that this thing is smart, it's just that this thing has been told to do this." - Eddie Woo
Chuck in Cos 120. I love it! a true Aussie!!
Brilliant teacher! Only if I had one like him in my childhood....
Watched this and part 1 yesterday and had to come back and say thank you so much!!! I finally understand the unit circle!!! Hopefully, integral calculus will be much easier for me now. I already failed it once!!!
Absolutely splendid lecture! Your enthusiasm really makes me want to learn more about trigonometry :)
I wish he was teacher in school and damn these lectures are legit so helpful!
The best teacher ever!!
Very well explained sir! I got rid of many confusions...keep doing this great job.Love from India!
This is art
ASTC = All Siver Tea Cups. Easy to remember
I have officially fallen in love with trigonometry
Your explanation is just too good 👍
exceptionally amazing. I wish I was his student. such a deep understanding of math
Thank you sir for making me understanding trig functions much better.
Thank you man...i was lucky to find this video
All students take calculus?
i saw CATS for some reason -_-
@Connor Gaughan yea same
Unless you're a liberal arts student 😂
Great approach. Wonderful teacher.
Thank you!
I was so fortunate to have a good maths teacher when i was young.thanks for him i am a maths teacher now.god bless him!!!
I was always taught it was All Students Take Calculus but the part when you said "All Students Take Cocaine" had me dying of laughter!!! LMAOROTFL
My teacher said that "All Students Take Calculus" in our AP Calculus class a couple days ago haha
Salute to you sir💓❤ love from india
Thank you Eddie. I'm taking physics but I haven't done anything with trigonometry since high school geometry (about 20 years ago) and was frustrated because I want to know what is going on in the calculator when we use the Sin, Cos, and Tan functions because I don't want to be forced to rely on my calculator. I will definitely be watching more of your videos and have subscribed.
This goes for me too.
Look up the Taylor Series. It isn't specifically what goes on in the calculator, but it gives you a general idea of the working principle that is easiest to understand, and build yourself. Essentially, it is derivative matching at a given point, so that we find a polynomial that matches the position, slope, and curvature, and higher orders of derivatives, to calculate the function. Actual calculators use other algorithms that are more efficient to compute, but require more advanced knowledge to understand.
Thanks mate
This is awesome mate!
This is actually amazing
Because I was in a Christian religious school, I remembered it as ALL SAVED THROUGH CHRIST (ASTC) 😃
All (good) Students Take Calculus! Great video of enthusiastic professor making a normally dull subject very interesting.
THANK YOU AGAIN
I like your explanation
Best teacher
this is beautiful
I have a question - maybe somebody here can help me?
I have to solve the task "find the corresponding cos-value for sin(x)=3/5.
My textbook only gives the positive solution of cos(x)=4/5.
But if the angle x happens to be obtuse, I should get -4/5 as an answer as well, right? Given that I don't now the size of x, I should state both solutions, unless talking specifically about a given triangle, correct?
If they give a range then you should give your answer according to the range
Like 0
4:26 "It's a half moron"
thanks sir
May god bless u
I've added you to my list of people that I would like to show appreciation to. How can we best do that?
Is there any way to calculate cos and sin with only the angle and no calculator. For example cos11 for a unit circle? Im looking online and seeing something about Ptomeleic charts...Are the non standard angles (not 30-45-60-90 etc.) therefore empirical derived and referenced from a chart?
frick, YOURE AWESOME
Thanks but could you go over some questions in the topic as I still do not know what im trying to get by doing this.
GREAT TEACHER TO HAVE ON TH PLANET
over here in canada we call it CAST rule
Yes. I have heard of that acronym. However I think that it is important to have the first quadrant represented first in the acronym, hence to start with "A".
Too good
Please show the tangent when you teach this. Students need to know where the name of this function comes from.
What did the obtuse angle say to the acute angle, when they started fighting with each other of how much of the circle each should have.... They said "You annoy me, and you better watch my reflexes"
I always just phonetically pronounced "ASTC."
Something like "Astick"
Ass stick?
Your teaching style is amazing. Do you recommend any math book?
The art of problem solving vol 1 you can get a pdf version free
@@dipanshusingh6329 Thank you for your recommendation. I will get started with it, very soon :)
All Sailors Take Care was our version
Mr. Eddie Woo. First of all congratulations on your extraordinary teaching. What you are leaving behind is a legacy. Pythagoras would be proud! There is only one thing I am wondering about as a math teacher as well. Do your students have to copy your writings on the board?
PS Thank you for your commitment to teaching!
All silver tea cups
Acronyms Spread Total Confusion
What is the meaning of life?
The unit circle gives us meaning
New cult
Sir i speck to ASTC That's mining after school to college
wow thanks sir!
I love what math do
Wdym 2015 was 6 years ago?
THANKU SIR
Why did u take sin=0 and cos=1?
When the angle theta is 0 degree, there is no triangle and the the side which was once the hypotenuse coincides with the x axis whereby the adjacent side's (cosine) value becomes equal to the radius of the unit circle which is 1 unit and the opposite side (sine) is no longer present so its value is 0.
Thanks..Malaika Jain
How did he know cos60 is 1/2?
Cos 60 = sin 30
Think about it for a second
@@diegojoaquinsanchezalatris6670 The prefix "co-" means "of the complimentary angle". Meaning cotrig(x) = trig(90deg-x), which is true for cosine, cotangent, and cosecant.
What's the age of the students?
2024 gang where you at
Amazingg
trig is cool but I hated how in order to do it without a calculator you had to memorize so many hard values
All students take cocaine lol 😂
I'm not 100% sure that last bit about the calculator being taught the unit circle is true. I think most calculators actually use Taylor series approximation to calculate trig function values, but I'm just bein' pedantic.
It turns out that calculators don't use the Taylor Series. In concept they could, but there are better methods that are more computationally efficient. Chebychev polynomials are a common alternative to use instead, as they converge a lot faster and get you more accuracy in fewer program steps. The Taylor series is a useful tool for introducing the concept of an infinite series, and has many applications within Calculus itself, but while it may seem to be a good idea as an algorithm for trig functions, there are better methods.
All Students Take Calculus
what was the need mentioning nationalities and people? actually, Eddie Woo is not from India; from his name, he seems to be from China. I have great respect for Indian educational system; they used to be teaching through all over the world some years ago.
I know this is more than a year, but Eddie Woo was born in Malaysia. He is a chinese though.
The family name, or surname Woo, hints that he is not from China, because in the Pin Yin system, there is no Woo, only Wu. China's Chinese must adhere to that system, while Chinese elsewhere just spell it as they would pronounce it.
@@dunnomuch3 Eddie Woo was born in Australia. His parents are are ethnically Chinese, and immigrated from Malaysia. So you were close, on your account of his background.
Interesting observation about the spellings of surnames, it also explains why the surnames of Wang and Huang, often get respelled as Wong. The Pinyin system did a good job of capturing the essence of Chinese pronunciation, and trying to map it onto the prevailing norms of English letter pronunciation, as best as possible. Not an easy task, when even the homeland of the English language is so inconsistent. It's good that it was developed by a native Chinese speaker, as a native English speaker would probably miss about half the details trying to come up with the same system.
"All Students Take Calculus"
Bro………….this should be taught …. It wasn’t even explained in the textbooks why?????
😮😮
10:15 lol >