Please don,t make Khan academy as the "gold standard". There are many flaws in their videos. Mostly the instructor keeps blabbering constantly going back and forth confusing the student. Whereas, this video is so clear and exquisitely explained. Fully dedicated to a topic at a time. Thank you.
I hope this is sarcasm. I haven't watched khan academy but this guy here cant stay on topic... so please don't say youre serious when you say this guy is dedicated to one topic at a time.
That proof of how the points break the arc length into thirds is what I was searching for! You came so close to saying it then didn't!! Wonderful video nonetheless. There is some rare knowledge in it. Thank you.
Trigonomic Functions decoded.. Wow! Very impressed with the way you have taken out all the complexity from the functions, and reduced them into simple concepts that one is able to understand. You really turned our light Bulbs on!! That was powerfull!! Thanks a million for the video !!!
I have been looking for a explication like this for more than 16 years. 16 years! so thanks! finally a answer to wtf Sin and cos is, that did not just leave me more confused.
This is a brilliant video! Currently I am self-teaching myself maths for the ACT, and before doing this I had never encountered trigonometric functions and the unit circle. Completely confusing is how I would describe all of the other videos/revision websites I have watched/read (in the case of videos in particular, because they fail to allow enough time to properly explain what's going on! This video, on the other hand, goes the full thousand miles!). Thank you!
Often trig is taught as part of algebra, but it can also be taught as a separate course after the first algebra course; it really depends on how your instructors choose to teach it. It could be taught in a class called Algebra II, for example. Certainly trig is always taught before calculus, since trig is used and discussed in detail in all calculus courses. In summary: trig usually appears after the first algebra class but before calculus; exactly where depends on your curriculum.
The easy way to produce the unit circle is to divide a circle into 24 equal 15 degree graduations. Number these points from zero Pi to 2 Pi 0,1,2,3... then take those numbers and multiply them by Pi/12. You will have 8 extra locations on the your unit circle that you can use or throw away. The same method can be used to give you any number of equal graduations that is an even number. Just change the denominator to half that number.
Agree. Khan academy has much more videos about more topics in science, and this channel has increidible awesome attention to detail. Both combined are great tools for learning.
Maybe someone already mentioned it but the trig identities listed at 36:32 have the x,y value backwards for sin/cos 30 degs. Sin (y) should be 1/2 and cos (x) sqrt3/2. Not a nit pick, just good of the order. Great video!
I wanna say that, this is just fantastic. I have to watch this video and also your other videos over and over again. Actually I'm a collegian and was here after searching "Trigonometry Application". I wanna know how trig will relate to electronics and specially signals and signal processing. By the way thanks for this very valuable stuff.
I did not understand these terms in my life as I understood from this video, I lift my hat respecting for you and for your style in the magnificent explanation
Really, Khan Academy is a wonderful school of knowledge because I learnt from it what my teacher a week or more than within minutes that is amazing thing!
I found this very interesting because at the 41:36 I can assimilate the waveform of sine as AC generator in circuits, same as cosine, and the Tangent looks like the inductor wave on the oscilloscope, now everything makes sense for me, even though the purpose of this vid wasn't similar of what I discovered, I'm thankful that I have clearance on where those things came from. Thanks, sir.
Thank you SO much for posting this video!! I was looking at this like it was a foreign language before I watched it! It was very hard to find a video that did so a great job of explaining it!!
Why trigonometry tables are never mentioned? In the 1960s, when I first studied trigonometry, I only had tables to work with, no calculators existed. Well, any trigonometry book has trigonometry tables. So, I answered my question.
I'm doing a course at Khan Academy they skipped the part of associating the unit circle and using root as fractual parts of a circle or it wasn't explained as clearly as you have done here. By making it messy cleared up the square root over or by a denominator. Thanks for the clear explanation. .
Thanks a lot! The part in the break made me see trigonometry in a whole new way and made me understand trigonometry than just knowing how to use it. Thanks! :D
Thank You for the video. It is amazingly helpful! I think in 36:43 is a little mistake in the first two lines though: it should be sin(30) = sin(pi/6) = 1/2 and cos(30) = cos(pi/6) = √3/2 right? Or am I wrong with that?
Pepper Thanks so much! I believe someone spotted this before -- you are indeed correct -- so I had added a comment in a box that pops up below the book. Does the comment in that box help?
New Planet School I am still thinking about the break section and how everything is worked so that it works within the unit circle..You really explain much better than any other video I have looked at. Im 62 and doing Maths with the OU and you are a very good teacher ...thanks
There are many things that are not clear in this video. I watched this video with a clean slate - I know absolutely nothing about any of this. And soooo many things is this video are not defined that this video is pretty much useless to me.
Clear as mud. ‘Break time!’. Easy, fun. 1+1=2 etc. I followed that bit, but then to introduce the resulting equations onto the unit circle and announce that they represent 30, 45, 60 degrees completely bamboozled me. Why those equations, is there an equation for each individual degree? Find any point with these equations? How, what values and where? Quantum trigonometry.
22:33 I struggled w/ 1/2 x 1/2 being less than 1/2 In school they taught me Multiplication was repeated addition, so I was thinking it should be 1 Being frustrated w/not understanding, I drew a square & labeled each side 1/2. Then as I looked at my square, I thought, how do I get to 1. I drew another box on top & one to the side. That was three boxes & only one more to complete the full 1 square. I finished the square & realized multiplying by a fraction is division. They lied to us when we were young. Now I even know multiplication can be repeated subtraction.
Could you please tell me the name of the software that you are using to display the content of your videos? I know that in Windows it is Smooth Draw but I can't tell what you are using and what the name of the software is. I am not a Mac user but this software looks excellent.
Great information , love the way you present the graphics, makes it easy to understand. Except the black color background. I think if change it to a lighter color will improve overall. Thank you for sharing your knowledge.
If you draw the vertical line X=+1 parallel Y axis present for tangent and the horizontal line Y =+1 parallel X axis present for cotangent. The 30°, 45° and 60° of the lines will meet the two new lines. That's the value of the tangent and cotangent. Please correct me if I am wrong. Thanks
at 36.33 i i thought you had just given the the sin for pie over 6 was 1/2, this is showing the square root of 3 over 2 as the sin of pie over 6...is your video correct at 36.33, those first couple of table values look incorrect, i did not check them all..
Great Video, I like how you used a math break to try to make the concepts more intuitive. you have to be able to grasp the abstract concepts and algorithms(Patterns) or learning any form of math will be a struggle .
Ok maybe it was a cool idea to introduce these concepts during a math break and tell us how easy it was, especially as what he describes helps with the rest of the video but I found it the hardest part of the video to follow see Alex Martino's comment below.
If you please, what software do you use to write the formulas (using a stylus, I am guessing)? I would love to be able to teach classes with the "blackboard" that you use in this presentation.
Hello Christopher. I use two methods to write the equations. If I want to do it "by hand" I write on the "blackboard" using a combination of Omnidazzle and a Wacom tablet. If I want to prepare the equation in advance and have it look very professional, I use LaTeXiT. (I have made a video that shows all of this, and I will upload it today.)
I realised how perfect math is, I'd like to go back to Pythagoras era and be able to enjoy the beauty of math, today; all that beauty is found in a calculator
Dude honestly thank you so much... Freaking teachers nowadays just want kids out of their class as fast as possible and don't explain the core concepts.
Like your video. But am confused about role of x value when starting trig functions at 37:15 (theta is zero: no angle). You show (1,0) for that angle so why isn't the first dot at x = 1? Because the graph is showing values of y (sin theta) only, right? How do you get the values for x?
OK, I am seriously confused on something here. At 36:31 the table shows that sin(30) = sin (pi/6) but also shows that sin(60) = sin (pi/3) but both are showing and equal value of square root 3/2 ... (sorry it is impossible to show the equations so I have to type it out. If I understand this correctly, sin(60)=sin(30)? Am I off track here? New Planet School
Aaron, you are very much on track here. You have found a mistake in the video (thanks to others who have also pointed this out). I have added a comment on that page to clear up the confusion. Thanks!!
You have been able to clarify in 45 minutes something that I've struggled with for about 15 years. Thanks.
15 years?????????
but, well done =)
Teachers make us suffer too much, while we don't use that in life...1xSin(45 = hyt
Please don,t make Khan academy as the "gold standard". There are many flaws in their videos. Mostly the instructor keeps blabbering constantly going back and forth confusing the student. Whereas, this video is so clear and exquisitely explained. Fully dedicated to a topic at a time. Thank you.
+Mohan7 I agree ....I like khan as well......but these vids are thE cat's meow imo
I hope this is sarcasm. I haven't watched khan academy but this guy here cant stay on topic... so please don't say youre serious when you say this guy is dedicated to one topic at a time.
@mohan7 Jai shree Ram.
This video makes no sense. I have no idea what anyone is talking about.
@@readandrap283 watch my vid :)
It blew my mind. You're one of the best teachers I've ever seen.
That proof of how the points break the arc length into thirds is what I was searching for! You came so close to saying it then didn't!! Wonderful video nonetheless. There is some rare knowledge in it. Thank you.
Best Video for trigonometry on the internet so far
I’m a retired engineer. You explain it beautifully! Great!
Trigonomic Functions decoded.. Wow! Very impressed with the way you have taken out all the complexity from the functions, and reduced them into simple concepts that one is able to understand. You really turned our light Bulbs on!! That was powerfull!! Thanks a million for the video !!!
I have been looking for a explication like this for more than 16 years.
16 years!
so thanks! finally a answer to wtf Sin and cos is, that did not just leave me more confused.
You are a genius Sir I hope they give you credit
This is a brilliant video! Currently I am self-teaching myself maths for the ACT, and before doing this I had never encountered trigonometric functions and the unit circle. Completely confusing is how I would describe all of the other videos/revision websites I have watched/read (in the case of videos in particular, because they fail to allow enough time to properly explain what's going on! This video, on the other hand, goes the full thousand miles!). Thank you!
Often trig is taught as part of algebra, but it can also be taught as a separate course after the first algebra course; it really depends on how your instructors choose to teach it. It could be taught in a class called Algebra II, for example. Certainly trig is always taught before calculus, since trig is used and discussed in detail in all calculus courses. In summary: trig usually appears after the first algebra class but before calculus; exactly where depends on your curriculum.
The easy way to produce the unit circle is to divide a circle into 24 equal 15 degree graduations. Number these points from zero Pi to 2 Pi 0,1,2,3... then take those numbers and multiply them by Pi/12. You will have 8 extra locations on the your unit circle that you can use or throw away. The same method can be used to give you any number of equal graduations that is an even number. Just change the denominator to half that number.
This is the channel where I've learned the best from internet, next to Khan Academy.
Some of the explanations are actually better than Khan Academy !
Agree. Khan academy has much more videos about more topics in science, and this channel has increidible awesome attention to detail. Both combined are great tools for learning.
Khan accade has to much theory,, we need more solved problems.
ya u kinda get the best of both worlds when u mix those too up :)
And the Organic Chemistry tutor
Maybe someone already mentioned it but the trig identities listed at 36:32 have the x,y value backwards for sin/cos 30 degs. Sin (y) should be 1/2 and cos (x) sqrt3/2. Not a nit pick, just good of the order. Great video!
Yes, I just noticed too! Glad someone mentioned it :)
I wanna say that, this is just fantastic. I have to watch this video and also your other videos over and over again.
Actually I'm a collegian and was here after searching "Trigonometry Application". I wanna know how trig will relate to electronics and specially signals and signal processing. By the way thanks for this very valuable stuff.
I did not understand these terms in my life as I understood from this video, I lift my hat respecting for you and for your style in the magnificent explanation
Really, Khan Academy is a wonderful school of knowledge because I learnt from it what my teacher a week or more than within minutes that is amazing thing!
You single handedly saved my AP Pre Cal grade
wow you blew my mind about 3 times and now i understand nearly all of this clearly making all my homework that much easier thank so much!
This is the best lesson online. Well explained .
I found this very interesting because at the 41:36 I can assimilate the waveform of sine as AC generator in circuits, same as cosine, and the Tangent looks like the inductor wave on the oscilloscope, now everything makes sense for me, even though the purpose of this vid wasn't similar of what I discovered, I'm thankful that I have clearance on where those things came from. Thanks, sir.
Thank you, Kevin! Good luck in your math studies; math is truly amazing!
good and helpful enough
Thank you SO much for posting this video!! I was looking at this like it was a foreign language before I watched it! It was very hard to find a video that did so a great job of explaining it!!
I am taking Trig in the Fall, and I am now over excited to get started :-)
The wasted years of my youth while sitting in class rooms is distressing. Surely, it is time to abolish schooling based on the factory model..
Great video!!!!
This is the best video I've ever seen! Hats off!
Why trigonometry tables are never mentioned? In the 1960s, when I first studied trigonometry, I only had tables to work with, no calculators existed. Well, any trigonometry book has trigonometry tables. So, I answered my question.
This video is absolutely FANTASTIC! I learned so much! I will watch it again!
This video helped in heaps! More like these please . . .
I'm doing a course at Khan Academy they skipped the part of associating the unit circle and using root as fractual parts of a circle or it wasn't explained as clearly as you have done here. By making it messy cleared up the square root over or by a denominator. Thanks for the clear explanation.
.
Love it! It is really very clear explanations and easy to understand. Thank you so much for your teaching!
Thanks a lot! The part in the break made me see trigonometry in a whole new way and made me understand trigonometry than just knowing how to use it. Thanks! :D
Glad it helped! Good luck!
***** You didn't saw?
Nice. Out of curiosity, what's your ethnicity?
Amazing! It should be taught like this in schools.
alot better then khan acadomy trig videos but i still am fuzzy on some things will just have to keep watching till i get it
Superb! Thanks a lot! I always used to wonder this in my school but none could explain it!
very clearly explained
I like the way break the information and made understandable in easy manner, thanks for wonderful lecture
Thank You for the video. It is amazingly helpful! I think in 36:43 is a little mistake in the first two lines though: it should be sin(30) = sin(pi/6) = 1/2 and cos(30) = cos(pi/6) = √3/2
right? Or am I wrong with that?
Pepper Thanks so much! I believe someone spotted this before -- you are indeed correct -- so I had added a comment in a box that pops up below the book. Does the comment in that box help?
New Planet School Thank You! I have just seen it!
awesome
This is a great video i saw in my live for explanation of a unit circle , thank you so much
i wish you could make a video on the material covered during the break. in more detail , it was very interesting
What aspect of that section did you find most interesting?
New Planet School I am still thinking about the break section and how everything is worked so that it works within the unit circle..You really explain much better than any other video I have looked at. Im 62 and doing Maths with the OU and you are a very good teacher ...thanks
I'm not sure if you mentioned your name on the video somewhere... But just wanted to let you know, YOU ARE THE MAN!
Really whip smart and simple! I am thrilled
I only needed to watch 3 minutes. I fell in love with that circle. Subscribed!
good example and explanation. But when you make the coordinate pairs.. it is not clear how you get each value...
Abdul Wardhere he takes a unit circle..
and unit circle has one unit radius✓
There are many things that are not clear in this video. I watched this video with a clean slate - I know absolutely nothing about any of this. And soooo many things is this video are not defined that this video is pretty much useless to me.
Clear as mud.
‘Break time!’.
Easy, fun. 1+1=2 etc.
I followed that bit, but then to introduce the resulting equations onto the unit circle and announce that they represent 30, 45, 60 degrees completely bamboozled me. Why those equations, is there an equation for each individual degree?
Find any point with these equations? How, what values and where? Quantum trigonometry.
THIS IS SO DETAILED :) I LOVE IT.
Best explanation i had ever seen 😍😍😍
Thank you sir 🥰
this is very useful for me so thanks
22:33
I struggled w/ 1/2 x 1/2 being less than 1/2
In school they taught me Multiplication was repeated addition,
so I was thinking it should be 1
Being frustrated w/not understanding, I drew a square & labeled each side 1/2.
Then as I looked at my square, I thought, how do I get to 1.
I drew another box on top & one to the side. That was three boxes & only one more to complete the full 1 square. I finished the square & realized multiplying by a fraction is division. They lied to us when we were young. Now I even know multiplication can be repeated subtraction.
Could you please tell me the name of the software that you are using to display the content of your videos? I know that in Windows it is Smooth Draw but I can't tell what you are using and what the name of the software is. I am not a Mac user but this software looks excellent.
***** Sure! I get this question so often I made a video about it: ruclips.net/video/uRjHrmVESHc/видео.html
New Planet School You are a good man! Thank you!
Alin Popescu wzwzz
Superb thanks. Now to teach my daughter.
Thank you so much for this video! Math actually made me smile!
Thank you so much. Very good lesson.
fantastic
GREAT VIDEO!!
I love the way you explain it so easily
36:41 Mistake
Sin 30° = 1/2
Cos 30° = √3/2
Great information , love the way you present the graphics, makes it easy to understand. Except the black color background. I think if change it to a lighter color will improve overall. Thank you for sharing your knowledge.
If you draw the vertical line X=+1 parallel Y axis present for tangent and the horizontal line Y =+1 parallel X axis present for cotangent. The 30°, 45° and 60° of the lines will meet the two new lines. That's the value of the tangent and cotangent. Please correct me if I am wrong. Thanks
I had a *mathsgasm*.
John Smith haha
***** To put it in words, I would say just enjoying maths. A lot.
isnt that crazy how the lesson during the break, happened to perfectly relate to the (x,y)=1 lesson on the unit circle. wow!
loved this...
this was great!! please continue to making these videos!!
Thank you! Will do!
Excellent
Thank you! I finally actually get why the trig rules are the way they are. 5 stars!
That was a top grade video...
For the first time I understand why cos and sin waves look like they do , topman
I'm a math tutor. This is a good video.
WOW fantastic. Really well explained. Thank you for the effort!
you can also go by this phrase to remember Soh-Cah-Toa ( Some Old Hippie- Caught Another Hippie- Tripping On Acid)
at 36.33 i i thought you had just given the the sin for pie over 6 was 1/2, this is showing the square root of 3 over 2 as the sin of pie over 6...is your video correct at 36.33, those first couple of table values look incorrect, i did not check them all..
Verry good lecture Thanks
Well done!
Muy buen video :3
Great Video, I like how you used a math break to try to make the concepts more intuitive. you have to be able to grasp the abstract concepts and algorithms(Patterns) or learning any form of math will be a struggle .
Ok maybe it was a cool idea to introduce these concepts during a math break and tell us how easy it was, especially as what he describes helps with the rest of the video but I found it the hardest part of the video to follow see Alex Martino's comment below.
Good explanations...
thank you so much!..your examples and explications is really good..i like it..continue t
41:07 you go around twice, which is 4 pi.
If you please, what software do you use to write the formulas (using a stylus, I am guessing)? I would love to be able to teach classes with the "blackboard" that you use in this presentation.
Hello Christopher. I use two methods to write the equations. If I want to do it "by hand" I write on the "blackboard" using a combination of Omnidazzle and a Wacom tablet. If I want to prepare the equation in advance and have it look very professional, I use LaTeXiT. (I have made a video that shows all of this, and I will upload it today.)
Thank you for the kindness of your response.
Christopher Lucas I have uploaded the new video called "Making New Planet School Videos" that has even more information.
Super! I'll check it out and thank you again.
New Planet School
better than khan academy
I realised how perfect math is, I'd like to go back to Pythagoras era and be able to enjoy the beauty of math, today; all that beauty is found in a calculator
Thanks for the video, New Planet School!
+Learn Maths Free _Thanks for stopping by!_
Seriously, this is my "Video of The Yeah" I appreciate you Job. (5stars)^2, in other words (*****)^2
How did you get PI/4 when the point is between PI/2 and 0? Meaning at 45deg?
Dude honestly thank you so much... Freaking teachers nowadays just want kids out of their class as fast as possible and don't explain the core concepts.
Super class .Thank u sir
Thank you :) Very helpful.
thanks brother
Oh my this is superb. Subbed
Whyyy did they not teach this to me at school? All I got was sin = 0/h cos = a/j and tan = o/a now go and work your way through these questions.
Like your video. But am confused about role of x value when starting trig functions at 37:15 (theta is zero: no angle). You show (1,0) for that angle so why isn't the first dot at x = 1? Because the graph is showing values of y (sin theta) only, right? How do you get the values for x?
you messed up on 36:34 cosine does not equal 1/2 it equals square root of 3 over 2 same with sine.
for the 30 degree angle
+Brenda Bravo *Thanks!* I think I knew about this and had added the comment right below the book. Does that comment fix/explain the error you found?
totally😊 +New Planet School
what a great video!!
Thank you, Paul! More videos on the way.
thank you so much
Thank you so much.
thank you sir....i learnt quite alot
Brillant 👍
OK, I am seriously confused on something here. At 36:31 the table shows that sin(30) = sin (pi/6) but also shows that sin(60) = sin (pi/3) but both are showing and equal value of square root 3/2 ... (sorry it is impossible to show the equations so I have to type it out. If I understand this correctly, sin(60)=sin(30)? Am I off track here? New Planet School
Aaron, you are very much on track here. You have found a mistake in the video (thanks to others who have also pointed this out). I have added a comment on that page to clear up the confusion. Thanks!!