Given the fact that we are doing online college and I haven't seen my professor's face this whole semester.. this saved me because I have been working on the topic for 3 days now on my own and I was close to throwing in the towel.
I have a midterm today (its 1am rn) and im just now understanding how to do this thanks to this guy. it doesnt help that my precalc class is a mini session class so it covers twice as much in a week ;-;
I wish you were my professor you are too great and thank you very very much because I never understood how all of this works thankssss so much you are the best explainer that I ever saw this far thank you!
Probably too late, this being a year later, but I will answer anyway. Mentally divide the circle like he explained at the beginning according to the denominator and start counting counter-clockwise if the point is positive or clockwise if the point in negative. So for example, -5PI/4 : You divide the top half in 4 and the bottom half in 4. Then you count clockwise because the number is negative ; 1, 2, 3, 4 (now you've arrived at the top half) and 5. So 2nd quadrant.
This still confuses me. How do we find where the x and y coordinates come from? I have questions in my homework that ask me to find the points but no one explains the math behind finding them. Were just "supposed to know" what they are and it's making it really frustrating for me because I can't remember every x and y value for every angle in the unit circle. Someone please explain this to me
Too late, but I will answer anyway. A unit circle is a circle where the radius is equal to 1. So you have a circle with a radius of 1. Then you have an angle that starts at 0 (think of a protractor) and the other leg of that angle lands somewhere on the circle. Let's have you mentally picture a 45° angle for the sake of it. At the end of that leg, marking the 45° angle, is a point. Now if you will notice, this gives you 2 points. The middle of the circle and the point at 45°. From the 45° point, mentally draw a height all the way down to the 0° leg and form a right triangle. From all of this, you know 2 things about this triangle. The hypothenuse also represents the radius of this circle and because this circle is a unit circle, you know that its radius is 1 so the hypotenuse is also 1. You also know one of the angles, which is 45°. Using this, you can use trigonometry to find the length of each of the other sides of this triangle. The vertical (opposite) side represents the y coordinate and the horizontal (adjacent) side represents the x coordinate.
1:39 That is the best human-drawn half circle that I have ever seen!
bro, ngl i was like 🤯
fuck yeah
Given the fact that we are doing online college and I haven't seen my professor's face this whole semester.. this saved me because I have been working on the topic for 3 days now on my own and I was close to throwing in the towel.
I have a midterm today (its 1am rn) and im just now understanding how to do this thanks to this guy. it doesnt help that my precalc class is a mini session class so it covers twice as much in a week ;-;
I can’t believe my tuition is 12000 a year and this free video did more for me than my $1500 pre calc professor 🙃🔫
same except my tutition is $30,000 * cries in dumb *I
@@yuhhhhhhhhhhhhhhhhhhhhhhh 30k for tuition ur getting scammed
Bruh facts
Same smh
@@raeallen2708 fr haha
I just learned more in 6 minutes and 27 seconds than I have for the past 5 days. Thank you!!!
Did Israel get it though?
You're an amazing teacher! Thank you!
This made everything more clear. Thanks!
Omg you draw perfect, you teach perfect!! I literally love you!!
that dollar analogy is god tier. you are a blessing to anyone you teach bro
you've been saving my life since highschool. thank you for your service
I watch your vids instead of going to class... I learn better here 🙏 thanks G!
I was so confused but soon as I watched your video I got it. You are the man. Thanks!
That was the best explanation ever thank you!
agree!!
wow! you teach math like no other math teacher! Thank you!!! It was very helpful!
You’re a phenomenal teacher
But what if the denominator is a number that is not on the unit circle? Example: sin 8pi/7. How would you do that?
Your explanation method is very clear sir.
Wow that made more sense than a lot of the text books I have read over the years.
I wish you were my professor you are too great and thank you very very much because I never understood how all of this works thankssss so much you are the best explainer that I ever saw this far thank you!
this guys my favourite
This was beautiful! Completely understood
What long explanation this was the shortest best explanation I have had until now
Good?
eso me ha ayudado tanto, muchisimas gracias
You're the man!!!
this gave me more than a 45 minute video i just watched and the entire unit information in my class
How did you manage to make me smile ear to ear while finally figuring out this concept? : }
This comment makes me smile ear to ear
@@brianmclogan Thanks professor! You rock!
this made me understand it better, but how do you state which quadrant it lies on?
Probably too late, this being a year later, but I will answer anyway. Mentally divide the circle like he explained at the beginning according to the denominator and start counting counter-clockwise if the point is positive or clockwise if the point in negative.
So for example, -5PI/4 : You divide the top half in 4 and the bottom half in 4. Then you count clockwise because the number is negative ; 1, 2, 3, 4 (now you've arrived at the top half) and 5. So 2nd quadrant.
You're my Dawg
But then how do I find the point if my reference angle is not 30, 60 or 90 or any of those standard reference angles
Find the positive acute distance to the x-axis
Thank you so much. Im in college rn but my teacher doesn’t explain this properly. You should be the professor 💯😭
THANK YOU!!
Brian McLogan for president
You make this so easy, thank you so much
Amazing 😭❤️
You're the best thank you!!!!!
Ty!
👏🏽👏🏽Why do others make it so complicated 😭
thank you
so helpful
thank you!
You saved my life
That’s a great semicircle 😃
thank you!
No thanks to you you’re the greatest teacher I’ve never had🙏🏻
i couldn’t learn this in my thousand dollar college pre calc course but i could from a random professor on youtube for free….
What point would be 59 degrees?
What if the numerator is 113 and the denominator is 2 ? Is there some equation for this ?
I GET IT NOW OMG
i wish u were my college professor omg
Happy to help!!
lifesaver
I’m genuinely confused still, why does it end up being 6pi on this case?
Nvm kept re watching it now I understand thank you!
feel like the blindfold has been taken off
Do you know how to do this on their face of a 3d circle
cool!!!
This still confuses me. How do we find where the x and y coordinates come from? I have questions in my homework that ask me to find the points but no one explains the math behind finding them. Were just "supposed to know" what they are and it's making it really frustrating for me because I can't remember every x and y value for every angle in the unit circle. Someone please explain this to me
Too late, but I will answer anyway.
A unit circle is a circle where the radius is equal to 1.
So you have a circle with a radius of 1. Then you have an angle that starts at 0 (think of a protractor) and the other leg of that angle lands somewhere on the circle. Let's have you mentally picture a 45° angle for the sake of it. At the end of that leg, marking the 45° angle, is a point. Now if you will notice, this gives you 2 points. The middle of the circle and the point at 45°. From the 45° point, mentally draw a height all the way down to the 0° leg and form a right triangle.
From all of this, you know 2 things about this triangle. The hypothenuse also represents the radius of this circle and because this circle is a unit circle, you know that its radius is 1 so the hypotenuse is also 1. You also know one of the angles, which is 45°. Using this, you can use trigonometry to find the length of each of the other sides of this triangle. The vertical (opposite) side represents the y coordinate and the horizontal (adjacent) side represents the x coordinate.
He has a video here : ua-cam.com/video/TGSyMkR6VbI/v-deo.html
@@expression3639 thank you very much. i am an incoming college freshman and this comment helped me a lot.
The Fuck I just get confuse with the last part. You made a right angle but the sections have more degrees than to a right angle
Free my boy Ryan he aint done nothing
I am speechless
i love you
🙏🙏🙏
why i dont get it 😭😭
NACHO VARGA
Fuck it forget about it
thank you