The fact that i learn more from a 30 minutes video on RUclips by you rather than in my 45-50minutes at school is amazing! Why go back to school to learn when this guy delivers you the knowledge easy to understand and you learn faster? Thanks a lot
You are Best teacher of math for me . thank you so much. Although I am not in college or student . In my school i afraid of math but make me happy. math is wonderful.
This is really important. We can visualize the circle. I am learning a lot with your lessons. I am having a hard but also challeging time with calculus 2 , integrals with these revolution shapes.
If we remember some standard angles like π/6=30 π/4=45 π/3=60 we can mentally calculate their multiple angles mentally. Eg 11π/6 =330. Here 6 indicates multiples of 30 then multiply 11*30=330. Success is pursuing our perceived goal. It is as simple as memorising an unit circle. Obviously success is not everyone's business. Every business is not successful. On the way, some start and finish early:: some start and finish later: :some start and never finish due to obstacles. If you can put all your efforts together to reach your goal, you become successful.
I have a question for you. Can you explain why you can take 12" diameter x's Pi, you get 37.68 inches. But you call Radians 2 Pi? Why is that? Thank you! I think I just answered my own question...Diameter is the length of the circle from outside to the outside in a straight line. Radius is from the center to the outside. So, in radians Pi is only half of the distance around and 2Pi is the other half around. I hope my thinking is correct. This is difficult to visualize.
It's more elegant to think of the [ cos, sin ] points on the unit circle written in terms of their square-roots: pi/6: [ sqrt(3/4), sqrt(1/4) ] pi/4: [ sqrt(1/2), sqrt(1/2) ] pi/3: [ sqrt(1/4), sqrt(3/4) ] Why: Because the fractions inside the square-root have to add up to 1. (x**2 + y**2 == 1) Now, if I give you an x-value in this format, you can easily come back with the y, or visa versa (sign ambiguity aside): These are points on the unit circle: x = sqrt(1/10): [ sqrt(1/10), sqrt(9/10) ] or [ sqrt(1/10), - sqrt(9/10) ] y = sqrt(4/7): [ sqrt(3/7), sqrt(4/7) ] or [ - sqrt(3/7), sqrt(4/7) ] Try this: x = sqrt(1/100) y = sqrt(?)
3:15. I just made a comment on your other unit circle video about finally understanding why 2 pi is the circumference. I have watched your videos about trig so many times it seems countless. This new understanding brings to mind that I am NOT stupid, just slow to learn. (retarded) but I'm OK w/that.
How I did I just divide ➗ the 180° ÷ 360 I still get 2 rad if that is okay 👍💯 and now I know how to convert radians into min and sce wow that's awesome 👍
Currently doing my associates degree in engineering. This guy is the best teacher I have had and I have never even met him.
The fact that i learn more from a 30 minutes video on RUclips by you rather than in my 45-50minutes at school is amazing! Why go back to school to learn when this guy delivers you the knowledge easy to understand and you learn faster? Thanks a lot
Its sad to watch real heros grow old.
Never found a teacher like u.
You are Best teacher of math for me . thank you so much. Although I am not in college or student . In my school i afraid of math but make me happy. math is wonderful.
A link to each "NEXT VIDEO" would be very helpful !
Great stuff either way !!!
This is really important. We can visualize the circle. I am learning a lot with your lessons. I am having a hard but also challeging time with calculus 2 , integrals with these revolution shapes.
If we remember some standard angles like π/6=30 π/4=45 π/3=60 we can mentally calculate their multiple angles mentally. Eg 11π/6 =330. Here 6 indicates multiples of 30 then multiply 11*30=330.
Success is pursuing our perceived goal. It is as simple as memorising an unit circle. Obviously success is not everyone's business. Every business is not successful. On the way, some start and finish early:: some start and finish later: :some start and never finish due to obstacles. If you can put all your efforts together to reach your goal, you become successful.
Thank you Man, you make so easy to understand, you are a Genius 👍🏻
This was really helpful... Thank you sir
You are a great teacher. God bless
Like always, awesome content sir! Would very much appreciate it if you make your videos in your app downloadable!
Awesome class! Thank you sir!
This is so open up for me 😮 about radian and degree angle but what is 315° r. Is
Excellent summary!
This was actually a life saver thank you!
Great eye opener!
How did you develop the numbers in red?
I have a question for you. Can you explain why you can take 12" diameter x's Pi, you get 37.68 inches. But you call Radians 2 Pi?
Why is that? Thank you!
I think I just answered my own question...Diameter is the length of the circle from outside to the outside in a straight line. Radius is from the center to the outside. So, in radians Pi is only half of the distance around and 2Pi is the other half around.
I hope my thinking is correct. This is difficult to visualize.
How do I find the video immediately prior to this 06?
How do I get the access all vedios,specifically this algebra 2 part..
How do we know that the red numbers outside the circle are what they are?
I love circles in radians. Who else likes it too
It's more elegant to think of the [ cos, sin ] points on the unit circle written in terms of their square-roots:
pi/6: [ sqrt(3/4), sqrt(1/4) ]
pi/4: [ sqrt(1/2), sqrt(1/2) ]
pi/3: [ sqrt(1/4), sqrt(3/4) ]
Why: Because the fractions inside the square-root have to add up to 1. (x**2 + y**2 == 1)
Now, if I give you an x-value in this format, you can easily come back with the y, or visa versa (sign ambiguity aside):
These are points on the unit circle:
x = sqrt(1/10): [ sqrt(1/10), sqrt(9/10) ] or [ sqrt(1/10), - sqrt(9/10) ]
y = sqrt(4/7): [ sqrt(3/7), sqrt(4/7) ] or [ - sqrt(3/7), sqrt(4/7) ]
Try this: x = sqrt(1/100) y = sqrt(?)
Can I access all of your videos if I become a member? I mean everything sir? I wanted to avail the courses. I love the way you explained everything ❤️
Yes, you can! When you become a member you can access every lesson on the site.
Thank you so much sir
Thank you very much and good luck
i try to seach part 06. cant find
Excellent. ✍️✍️
Excelente!!! Muchas gracias!
another way is multiplying all the radians by 180 over pie to get the degrees
3:15. I just made a comment on your other unit circle video about finally understanding why 2 pi is the circumference. I have watched your videos about trig so many times it seems countless. This new understanding brings to mind that I am NOT stupid, just slow to learn.
(retarded) but I'm OK w/that.
thank you
Brillant
Merci for the headache (:
First person here
Awesome, thanks!
بطور کلی احمقانه است
How I did I just divide ➗ the 180° ÷ 360 I still get 2 rad if that is okay 👍💯 and now I know how to convert radians into min and sce wow that's awesome 👍