if you look up "khan academy [subject]" (for example "khan academy trigonometry") and sort by channel you will find many channels with organized playlists of khan academy videos
1 hour before my test, wish me luck. EDIT: I mean a lot of people want to know how the test went, tbh i don't even remember cause it was 2 years ago but i think i passed LOL.
His lessons would be more easily understandable if he gave a little more backstory as to why we use the unit circle. This should have been a 2 part series.
i mean he kinda does in other videos which are meant to be watched before this one. It's, in a way, building off of pre-existing knowledge that he expected you to know. The unit circle is used because all cirlces are similar to each other, so it makes no differences when showing it as an example, as a unit circle of radius 1 wouold be the easiest to show calculations whne used as an example Sry if i'm late to reply after 4 yrs lool
Clash Mjrm so really it's the way u r seeing them is wrong , somebody must have noticed that if the angles of a right angle traingle is same , the are similar coz in a right angle triangle even if one angle except the 90° is equal , the triangles are similar... So as a right angle triangle that has a 60° must be similar to another one that has 60° , the must be have a eatio b/w them , that ratio depends on the triangles size but if u divide a side with another side , u get a specific ratio that is same for all the similar triangles .... so he named them sin cos and tan sin being the ratio of a right angle triangles opposite side to a specific angle and the hypotenouse and so on...
I don't know why my country NCERT books didn't explain this first and then explain remaining trigonometry today is the day I understand why sin theta = perpendicular upon hypotenuse
Man!!!... You deserve the best teacher award, and if there is no such a thing I(regular student from a random country) will be honored to pronounce you as the best! teacher in the world
This is the best explanation of the unit circle I have ever seen. It is set up in a way that definitions become clearer and easier to understand. Thank you!
My question is what will be area of circle with radius 1 CM the answer is pi × R × R And since R= 1,The area will be equal to Pi. How can An Area became an irrational Please comment
That's definitely interesting.... But then, When you use a 1 as the two side legths of a right angular triangle A^2+B^2=Hypotenus^2, Hypotenus also become irrational. But then, it does make sense in realty too, if you think about it. The point is, if you are to have a shape of irrational area, you would need infinite precision for its boundaries. But we usually consider the universe to be of particulate/discontinues nature. In that case, no one could actually ever draw a precise circle of radius 1 and have an irrational area as the boundaries will be accurate only to the smallest possible particle ( a quanta, if you preffer ). If the universe is continues and has an infinite possible locations in a given area, then the irrational areas would be possible. But it would still make sense, because if you could have infinite locations within a finite area, it would be fully capable of containing irrational areas. As we usually assume that we can have infinte precision in Mathematics, this would work out without a problem in theareticall situations. Please ignore if nothing in this makes sense, and point out if I am wrong about something here. I thought about this just now and came up with this explanation, so it is extremly possible that I got it all wrong.
The comments on UA-cam seem way higher quality than the ones on the Khan Academy website. Maybe it's because of the age requirement for posting comments, but I'm not sure if that was removed
+adarsh tiwari yes on a line graph everything to the right is positive and everything up is postive. everthing to the left is negative and everything down i
I don't think that explains it as well because one could then infer that angles in other quadrants flip into negative angles. They don't. It's the quadrant they chose for it to start positive, and from there it just continues regardless of signs/pos/neg.
his voice sounds very dramatic at the start of the video like one of the voice overs for a movie "In a world full of vampires" but you do it with maths so yeah :)
I swear EVERY video he says "I am doing the....the pythagorean theorem" or "I am doing a....a trigonometric function, or a....a unit circle" Maybe it's just me..............
Is the radius ever not 1? if so, does sin still equal y co-ordinate? i can do questions just fine, i just cant understand how something like sin135 gets an answer.
The unit circle always has a radius of 1 (think of the "unit" of the unit circle is 1) and sin=y and cos=x ONLY apply to the unit circle. There are circles that don't have the radius of 1, and in that case, I'm pretty sure you would have to use SOH CAH TOA.
Khan Academy really needs to learn to utilize the playlist feature.
kostas sid Well alrighty then.
Thaddeus3rd z how dare you object sal in such a way
xD 😂
if you look up "khan academy [subject]" (for example "khan academy trigonometry") and sort by channel you will find many channels with organized playlists of khan academy videos
yes sir
yesss
This is the reason for my chronic depression and prolonged agony.
Us
good luck to y'all future watchers!
5Head 🍷 Ah yes, thank you, fellow well mannered user of Twitch.
Its been 2 years!!
I missed 2 weeks of class lol
i hate it here
thank you, i have a test tomorrow morning and still dont really know how to do this🫡
1 hour before my test, wish me luck.
EDIT: I mean a lot of people want to know how the test went, tbh i don't even remember cause it was 2 years ago but i think i passed LOL.
good luck yesterday
GL 11 months ago
I believed in you
Bruh how did the test go.
I assume the test went well?
Much better explained than the Year 11 Math B textbook
IB DP?
@@mikecodm8430 oh my god IB is literal torture
His lessons would be more easily understandable if he gave a little more backstory as to why we use the unit circle. This should have been a 2 part series.
It is. This is not a standalone or first video. It's part of a curriculum at KhanAcademy.org that embeds YT videos, and it's also in playlists here.
i mean he kinda does in other videos which are meant to be watched before this one. It's, in a way, building off of pre-existing knowledge that he expected you to know.
The unit circle is used because all cirlces are similar to each other, so it makes no differences when showing it as an example, as a unit circle of radius 1 wouold be the easiest to show calculations whne used as an example
Sry if i'm late to reply after 4 yrs lool
@@ghxst.5128 lmao they r probably already out of highschool
Thank you Khan Academy, you did it again! To anyone reading this, make sure you help those who don't get it yet.
If i ran a school my math department would simply be math tutors while the main curriculum was Khan Academy...
I have a rhetorical question that's bothering me for almost 2years, the question is - From where Soh , Cah and Toh came and how did they discover it.
Clash Mjrm I can help u , pls reply do u wanna know from where did sin, cos and tan came?
GoldFate yes?
Clash Mjrm so really it's the way u r seeing them is wrong , somebody must have noticed that if the angles of a right angle traingle is same , the are similar coz in a right angle triangle even if one angle except the 90° is equal , the triangles are similar... So as a right angle triangle that has a 60° must be similar to another one that has 60° , the must be have a eatio b/w them , that ratio depends on the triangles size but if u divide a side with another side , u get a specific ratio that is same for all the similar triangles .... so he named them sin cos and tan sin being the ratio of a right angle triangles opposite side to a specific angle and the hypotenouse and so on...
lel if it's a rhetorical question idk why you expected an answer
Its toa not toh , as it is opposite over adjacent
Used this to help tutor my classmates, this is truly simpler than it looks and sounds. Thank you! 🙏🏽
Instead of writing a,b write x,y to make it much better understandable since you are using x,y plane. So sine = y and x = cosine.
I don't know why my country NCERT books didn't explain this first and then explain remaining trigonometry today is the day I understand why sin theta = perpendicular upon hypotenuse
Man!!!... You deserve the best teacher award, and if there is no such a thing I(regular student from a random country) will be honored to pronounce you as the best! teacher in the world
This is the best explanation of the unit circle I have ever seen. It is set up in a way that definitions become clearer and easier to understand. Thank you!
mr.khan is the best teacher i can ever find on youtube. THANKS MR.KHAN
whoa...start at the beginning...what is a unit circle and what is its importance, in trig...
11 hours and 22 minutes till mine and I’m just beginning to learn this stuff
Woah, this video connects what my math teacher taught me to what my math tutor taught me
My question is what will be area of circle with radius 1 CM the answer is pi × R × R And since R= 1,The area will be equal to Pi.
How can An Area became an irrational
Please comment
That's definitely interesting.... But then, When you use a 1 as the two side legths of a right angular triangle A^2+B^2=Hypotenus^2, Hypotenus also become irrational.
But then, it does make sense in realty too, if you think about it. The point is, if you are to have a shape of irrational area, you would need infinite precision for its boundaries. But we usually consider the universe to be of particulate/discontinues nature. In that case, no one could actually ever draw a precise circle of radius 1 and have an irrational area as the boundaries will be accurate only to the smallest possible particle ( a quanta, if you preffer ).
If the universe is continues and has an infinite possible locations in a given area, then the irrational areas would be possible. But it would still make sense, because if you could have infinite locations within a finite area, it would be fully capable of containing irrational areas. As we usually assume that we can have infinte precision in Mathematics, this would work out without a problem in theareticall situations.
Please ignore if nothing in this makes sense, and point out if I am wrong about something here. I thought about this just now and came up with this explanation, so it is extremly possible that I got it all wrong.
Keep them coming Sal! You have been a great help this semester!
this comment is a decade old, dont let you forget
this is amazing! it's helped me so much
Using this to try and learn what I’m missing in math while I’m out for the day wish me luck yall
Best explanation of unit circle.
you are mazing, keep it up please, you dont understand how much you've helped me.
Best explanation of unit circle. Thanks you!
doing this in functions right now!!! soo helpfull!!!
Ah man, you could not have had better timing on uploading this thing. Thanks K.A.!
This guy is my favorite UA-cam maths teacher
THANK YOU
This video really helped me understand the topic
This man is my real math teacher
This video is joy
"some Trig ratios" what a deep voice!
thank you so much for this video!
This video is super interesting!
God this is such a lifesaver. Thank you so much!
maybe i shouldnt have put this off until 1 am on the night before my test words dont make sense in my mind rn
Seriously, same here. Khan is the man.
sal's deep voice at the end is just something else
Thank you for this explanation. I wish i could afford to donate, but just know i appreciate the video!!
This guy has a nice voice
he was like "The soh cah toa has a problem..." where? omagawd!
Thank you sir!
tomorow i got math quiz and i found cleanest tutorial
I feel this is greate way to understand math
omg FINALLY lol. I have a test in 2 days, I am so lucky :D
Name how did it go
@@clematis726 You are six years late
I always found it easier to memorize the circle in radians and convert to degrees as needed
Thanks Khan Academy
interesting, i also just did this a couple days ago in math.. i guess KA knows the school boards teachers !!
thank you so much.
Thank you!
this video was really freaking good
thanks so much you helped alot
thankyou!
thank you !!!!
#MyMathTeacherBroughtMeHere
thanks sal
thanks sir
You explain really good, thank you
Some
Old
Hippie
Caught
Another
Hippie
Tripping
On
Acid
SOH
CAH
TOA
I think SOHCAHTOA mnemonic is best.
+Abhishek Ravindra Yes it is :)
the hippies gone now
Sex On Hard Concrete Always Hurts, Try Other Areas
SOH CAH TOA
Great video. Thanks a lot.
How do you determine which way to move from the initial side. That is how do you know whether you need to move clockwise or to move counterclockwise?
Thankyou Sal for all your hard work!
I've been trying to figure this out for long time! thanks you so much!
The comments on UA-cam seem way higher quality than the ones on the Khan Academy website. Maybe it's because of the age requirement for posting comments, but I'm not sure if that was removed
Good reviewer
Very helpful thanks Sal!
I feel like I understand this less now
Super helpful vid thanks for clearing up all my questions
Respect 1000
Why is counter clock wise positive
Is there any mathematical meaning behind it?
+adarsh tiwari yes on a line graph everything to the right is positive and everything up is postive. everthing to the left is negative and everything down i
I don't think that explains it as well because one could then infer that angles in other quadrants flip into negative angles. They don't. It's the quadrant they chose for it to start positive, and from there it just continues regardless of signs/pos/neg.
thankkkkssss
Excellent video, very interesting.
I've been waiting for this video for so long. Thank you Sal! :)
brilliant explanation!
I would've failed trig class if it wasn't for you. Thanks
SOH many CAHlifornians like to visit krakaTOA in the summer
Thanks! :3
I have to do this and I'm only Year 10
im danm year 5
wtf year 5
I'm 2 months old and I have to do this for homework smh. Good thing it's easy af for me to grasp with my 179 IQ XD
who else is studying for a final tomorrow and is binge watching Khan videos
me fr 😭
his voice sounds very dramatic at the start of the video like one of the voice overs for a movie "In a world full of vampires" but you do it with maths so yeah :)
If you must run from the vampires across a distance at an angle uphill at the angle of theta, you must get sin(theta) distance higher...
@@Nobody-zq8bl This sounds exactly like something my best friend would say XD
Why is the lenght of the origin to any parts of the circle be equal to one?
x^2+y^2 = 1 with z=3 in R3 which points satisfy the equation? .. help please, anyone..
No wonder u went to MIT. Had u been my math teacher in high school, I might have had a shot.hahaha
pi no es la relación perímetro diámetro pues una circunferencia no es un polígono regular
수1 2단원 삼각함수
Lovely
I made Sohcahtoa the name of a city one of my Virtual maps.
Hii
Who else is cramming rn
Jamie Bachman gcse in 7 days =0
poggers first vdeo
gagu yaw ko na mag-aral grade 8 palang ko teh
Hahaha goodluck nalang sa atin
😅
I swear EVERY video he says "I am doing the....the pythagorean theorem" or "I am doing a....a trigonometric function, or a....a unit circle" Maybe it's just me..............
Why would someone dislike this, how is this video angering you
I still dont get it
my teacher gave us one day to memorize the whole thing :/
Is the radius ever not 1? if so, does sin still equal y co-ordinate? i can do questions just fine, i just cant understand how something like sin135 gets an answer.
The unit circle always has a radius of 1 (think of the "unit" of the unit circle is 1) and sin=y and cos=x ONLY apply to the unit circle. There are circles that don't have the radius of 1, and in that case, I'm pretty sure you would have to use SOH CAH TOA.
In the unit circle, sin=y, cos=x. In a generic circle, sin=y/r, cos=x/r.
The one I use has always been
Oscar
Had
A
Heap
Of
Apples
POV : You have a test in a couple hours
isnt a equal to b?