How to determine the point on the unit circle given an angle

Рет қаралды 105,246

10 жыл бұрын

👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the angle on the x-y-coordinate plane and with the help of Pythagoras theorem or the special angles, we can determine the point on the unit circle made by the given angle.
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Organized Videos:
✅ Trigonometric Functions and The Unit Circle
• Trigonometric Function...
✅ The Unit Circle | Learn About
• The Unit Circle | Lear...
✅ Points of the Unit Circle | Learn About
• Points of the Unit Cir...
✅ Angles of the Unit Circle | Learn About
• Angles of the Unit Cir...
✅ Trigonometric Functions of the Unit Circle
• Trigonometric Function...
✅ Find the Point on the Unit Circle
• Find the Point on the ...
✅ Evaluate Trigonometric Functions Using the Unit Circle
• Evaluate Trigonometric...
✅ Evaluate the Six Trigonometric Functions Given and Angle
• Evaluate the Six Trigo...
✅ Evaluate trigonometric functions using a calculator
• Evaluate trigonometric...
✅ Evaluate trigonometric functions using identities
• Evaluate trigonometric...
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#trig #unitcircle #brianmclogan

Пікірлер: 80

@raeallen2708 3 жыл бұрын

I can’t believe my tuition is 12000 a year and this free video did more for me than my $1500 pre calc professor 🙃🔫

@yuhhhhhhhhhhhhhhhhhhhhhhh 3 жыл бұрын

same except my tutition is $30,000 * cries in dumb *I

@sneaky_slayerrr 2 жыл бұрын

@@yuhhhhhhhhhhhhhhhhhhhhhhh 30k for tuition ur getting scammed

@TLathers225 2 жыл бұрын

Bruh facts

@tracy_cakkes Жыл бұрын

Same smh

@user-pj2ti4ms8p 3 ай бұрын

I just learned more in 6 minutes and 27 seconds than I have for the past 5 days. Thank you!!!

@adrimakesmusic2997 4 жыл бұрын

1:39 That is the best human-drawn half circle that I have ever seen!

@Anonymous-hv2zc 3 жыл бұрын

bro, ngl i was like 🤯

@yuhhhhhhhhhhhhhhhhhhhhhhh 3 жыл бұрын

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.

@octopudding 3 жыл бұрын

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 ;-;

@Kaijuzilla621 4 жыл бұрын

Did Israel get it though?

@Harveyspecter227 Ай бұрын

you've been saving my life since highschool. thank you for your service

@lacylaplante 4 жыл бұрын

You're an amazing teacher! Thank you!

@danielasmite7859 5 жыл бұрын

This made everything more clear. Thanks!

@adityaparmar5877 3 жыл бұрын

I was so confused but soon as I watched your video I got it. You are the man. Thanks!

@ellaahanene2189 3 жыл бұрын

Omg you draw perfect, you teach perfect!! I literally love you!!

@kaliekrobinson2987 6 күн бұрын

⁠⁠ You’re a phenomenal teacher

@sachinfitness3932 4 жыл бұрын

Your explanation method is very clear sir.

@VanessaPartidaiAMHealthynFit 3 жыл бұрын

wow! you teach math like no other math teacher! Thank you!!! It was very helpful!

@Heccadunks 3 жыл бұрын

I watch your vids instead of going to class... I learn better here 🙏 thanks G!

@sarah.3599 3 жыл бұрын

But what if the denominator is a number that is not on the unit circle? Example: sin 8pi/7. How would you do that?

@deleted-user-82u3ht92 2 жыл бұрын

that dollar analogy is god tier. you are a blessing to anyone you teach bro

@arizona6288 4 жыл бұрын

That was the best explanation ever thank you!

@VanessaPartidaiAMHealthynFit 3 жыл бұрын

agree!!

@timothyvogt7943 4 жыл бұрын

You're the man!!!

@danielbailey6923 3 жыл бұрын

You make this so easy, thank you so much

@derekdan2170 3 жыл бұрын

eso me ha ayudado tanto, muchisimas gracias

@AmelieOnline 3 жыл бұрын

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

@brianmclogan 3 жыл бұрын

Find the positive acute distance to the x-axis

@enesislami8734 8 ай бұрын

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!

@justarhum1320 3 жыл бұрын

this guys my favourite

@jamesparkinson6876 3 жыл бұрын

Wow that made more sense than a lot of the text books I have read over the years.

@arieleaston332 5 жыл бұрын

thank you!

@andrewbedolla51 Жыл бұрын

THANK YOU!!

@katlegomodiga1264 3 жыл бұрын

You're the best thank you!!!!!

@reold 3 жыл бұрын

Ty!

@DRWP10 Жыл бұрын

thank you

@jpm5965 4 жыл бұрын

You're my Dawg

@sanvisharma8521 Жыл бұрын

Amazing 😭❤️

@carmelrobles2888 2 жыл бұрын

so helpful

@yassoamin1452 2 жыл бұрын

What long explanation this was the shortest best explanation I have had until now

@brianmclogan 2 жыл бұрын

Good?

@fear8976 3 жыл бұрын

Brian McLogan for president

@thefocks 2 жыл бұрын

How did you manage to make me smile ear to ear while finally figuring out this concept? : }

@brianmclogan 2 жыл бұрын

This comment makes me smile ear to ear

@thefocks 2 жыл бұрын

@@brianmclogan Thanks professor! You rock!

@zyllestose2791 3 жыл бұрын

this made me understand it better, but how do you state which quadrant it lies on?

@expression3639 Жыл бұрын

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.

@jasminefitzsimons896 3 жыл бұрын

I GET IT NOW OMG

@masturdOfTheUniverse 3 жыл бұрын

04:50 Why are the denomintators 2? Why are we doing this little fun thing applying numbers to the numerators? Where do they come from?

@chandacherrubleo8837 2 жыл бұрын

👏🏽👏🏽Why do others make it so complicated 😭

@bobbercat2250 3 жыл бұрын

You saved my life

@Lily-zc5gu 3 жыл бұрын

What if the numerator is 113 and the denominator is 2 ? Is there some equation for this ?

@Onyx8Moon 4 жыл бұрын

cool!!!

@adrianhull469 5 ай бұрын

lifesaver

@thelabperson7651 3 жыл бұрын

What point would be 59 degrees?

@oxiyne3487 2 ай бұрын

i couldn’t learn this in my thousand dollar college pre calc course but i could from a random professor on youtube for free….

@goodnightvids 2 жыл бұрын

That’s a great semicircle 😃

@brianmclogan 2 жыл бұрын

thank you!

@goodnightvids 2 жыл бұрын

No thanks to you you’re the greatest teacher I’ve never had🙏🏻

@itsalternation9102 3 жыл бұрын

Do you know how to do this on their face of a 3d circle

@thatomofolo452 Жыл бұрын

🙏🙏🙏

@ziondapaa6392 2 жыл бұрын

feel like the blindfold has been taken off

@aissatoux Жыл бұрын

i wish u were my college professor omg

@brianmclogan Жыл бұрын

Happy to help!!

@kaihuynh8145 7 ай бұрын

I am speechless

@kimberlygarcia142 3 жыл бұрын

I’m genuinely confused still, why does it end up being 6pi on this case?

@kimberlygarcia142 3 жыл бұрын

Nvm kept re watching it now I understand thank you!

@nathanc.832 9 ай бұрын

i love you

@richardpineda2904 3 жыл бұрын

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

@zachsmith5643 2 жыл бұрын

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

@expression3639 Жыл бұрын

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.

@expression3639 Жыл бұрын

He has a video here : kzfaq.info/get/bejne/iq2DrLCct5y6kn0.html

@miraygungor8296 Жыл бұрын

@@expression3639 thank you very much. i am an incoming college freshman and this comment helped me a lot.