Tricks for Memorizing the Unit Circle
This video goes through some tricks to help you memorize the unit circle, assuming that you have to completely fill in a blank unit circle.
#mathematics #trig #unitcircle
*******************************************
Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from algebra 1 and 2 for the struggling college adult (age 18 and older).
*******************************************
Don’t forget guys, if you like this video please “Like” and “Share” it with your friends to show your support - it really helps me out!
*******************************************
SUBSCRIBE HERE for more Math Tutorials --► bit.ly/2HPIkCc
*******************************************
Interested in purchasing the TI-84 Plus CE Graphing Calculator?
Click Here --► go.magik.ly/ml/8lh0/
*******************************************
Be sure to Check Out Cole’s World of Mathematics Merchandise!
Supporting Cole’s World of Mathematics is as easy as 1-2-3.
Click Here --► www.cafepress.com/colesworldof...
*******************************************
For More Math Tutorial Videos, check out all of my Playlists:
Tricks & Short-Cuts for Memorizing Math Formulas: bit.ly/2mT8qxo
Sketching & Translating Basic Equations: bit.ly/2mSPsqK
TI-84 Calculator Videos: bit.ly/2novtib
Factoring Techniques Playlist: bit.ly/2n5OFCT
Calculus Videos: bit.ly/2nozSlf
Calculus Theorems: bit.ly/2x7omzP
Integration - Calculus 1: bit.ly/2oBxNjq
Individual Integrals: bit.ly/2oUCGap
Derivatives - Calculus 1: bit.ly/2oByskZ
U-Substitution Methods: bit.ly/2oUtSRL
Limits - Calculus 1: bit.ly/2oBFV3f
Related Rates - Calculus 1: bit.ly/2mgeSid
AP Calculus AB Test Tips Videos: bit.ly/2noq7DM
SAT Math Test Prep Series: bit.ly/2x6Zc41
STEM Project in Calculus: bit.ly/2noq0bq
Pre-Calculus Videos: bit.ly/2noi0H8
Inverse Functions: bit.ly/2FKtZJa
Exponential Functions: bit.ly/2FLqUIU
Logarithms: bit.ly/2mjxLR9
Permutations: bit.ly/2mSPPBK
Trigonometry Videos: bit.ly/2nojaCK
Algebra Videos: bit.ly/2noyVtr
Algebra 2 Videos: bit.ly/2nopGJK
Linear Equations: bit.ly/2oToPkA
Solving Equations Videos: bit.ly/2x7o7op
Simplifying Radicals: bit.ly/2mjiDDn
Circles: bit.ly/2mhNCju
Parabolas: bit.ly/2oBuOYm
Quadratics: bit.ly/2j24FC2
Ellipses: bit.ly/2p1QgG7
M104 at IUK Videos: bit.ly/2notD0Z
M105 at IUK Videos: bit.ly/2nosA1a
Extremely Nerdy Math Jokes: bit.ly/2nopAle
Fun Things to do on the TI-84: bit.ly/2nopVVa
Math Tricks: bit.ly/2nopsCa
Classroom Teaching Ideas: bit.ly/2nouxKO
Time-Lapse Videos: bit.ly/2x7spMy
*******************************************
Be sure to check out Cole’s World of Mathematics around the web!
ON FACEBOOK: bit.ly/2dQMlZq
ON TWITTER: / arcole82
My TpT Site: bit.ly/1MxQlG1
Classroom Website: www.professorcole.com/
Personal Website: www.colesworldofmathematics.com/
*******************************************
DISCLAIMER: This video description contains affiliate links, which means that if you click on one of the product links, I’ll receive a small commission. This helps support the channel and allows me to continue to make videos like this. Thank you for the support!
*******************************************
Пікірлер: 311
I am an 2nd year engineering major and I have never seen such a helpful video in remembering the unit circle! This makes it so much easier to do calc! Very helpful, and very well put together! Great job!
@ColesWorldofMathematics
7 жыл бұрын
Thank you for the nice comment! I strive to make my explanations as simple as possible so students can easily understand! Thanks for watching!
@ashleydalusma3140
7 жыл бұрын
Hello thank you so much for helping me with the Circle uniti chart . I had showed and referred this video to so many other students in my Alg 2 classes and it had awakened them so much . Your tips are AMAZING and yess color coding is great. Just one thing im still lost with finding Tangents could you do a video on how to please ? I have a test on this Friday ? Thanks in advance
@ColesWorldofMathematics
7 жыл бұрын
So sorry, I just now saw this comment. I'm assuming your test has passed, but just in case, the tangent values come from dividing sin by cos. For example, tan 30° = 1/2 ÷ √3/2 = 1/√3 = √3/3
@ColesWorldofMathematics
7 жыл бұрын
When I return to my home state next weekend (I'm currently traveling), I will do a video on how to find the tangent values.
@ashleydalusma3140
7 жыл бұрын
THANK YOU SO MUCH !!1 YOUR AWESOME TUTOR
As a Junior in a high school pre calculus class, that's after all not going to fail because of this video, thank you
@ColesWorldofMathematics
7 жыл бұрын
Glad it helped! Thanks for watching!
My mind is completely blown. This is so helpful! THANK YOU
The radians part of this is gold. Thank you.
@ColesWorldofMathematics
7 жыл бұрын
You're welcome. Glad it helped! Thanks for watching!
@John-wx3zn
3 жыл бұрын
Darren, I have a way faster way of doing it. First mark off the counter clockwise 30 degree increments. And the starting at the first 30 degree angle rught down pi over 6, the second one 2 pi over 6, the 3rd one 3 pi over 6, the forth one 4 pi over 6, the fifth one 5 pi over 6, the 6th one 6 pi over 6, the 7th one 7 pi over 6, the 8th one 8 pi over 6, the 9th one 9 pi over 6, the 10th one 10 pi over 6, the 11th one 11 pi over 6, the 12th one 12 pi over 6. See how they are all in order from 1 to 12. With out reducing the so the numbers stay in order and the denominators do not change. 2 pi over 6 is read here is two pi over 6es like hear is two apples, 3 pi over 6es, here is three apples. The next step is to right down the reduced fraction for each radian angle in lane 2. lane 1 like on a running track the non reduced radian measures. This way I can look at lane 1 and only see my 1 to 12 non reduced radian measurements. If I look at lane 2, I see the reduced radian measurements. For the 45 degree increments only have to add 45 degrees each time. Done.
Best technique besides memorizing I have seen thus far. Thank you, I bet your students have a great appreciation for you.
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thank you for the nice compliment.
best video and explanation I've seen by far! thanks so much!
@ColesWorldofMathematics
Жыл бұрын
You’re welcome! Thanks for watching!
This was super helpful. Thank-you for sharing your knowledge!
@ColesWorldofMathematics
5 жыл бұрын
You’re welcome! Glad it was helpful!!
thank god for i have stumbled upon this without it i would be so stressed and sad. Thanks so so much!
@ColesWorldofMathematics
6 жыл бұрын
So glad the video was helpful for you. Thanks for watching.
Definitely the best explanation on KZread!!!!! Two thumbs up!
@ColesWorldofMathematics
7 жыл бұрын
Thank you for the nice comment! Glad I could help!
I am studying ahead of time for Precalculus and when I first saw the unit circle, I literally scratched my scalp almost raw. I found this video and I guarantee I will look at this over and over again. This is one one of the best instructional videos I have ever seen in all the levels of math I have taken to this point. I have to go to Calculus 2. I hope I see you again. Thank you!!!
@ColesWorldofMathematics
5 жыл бұрын
I am currently teaching Pre-Calculus, Intro to College Algebra, College Algebra, and Calculus 1, but I have a few videos that do cover some Calculus 2 topics.
Thank you for helping me memorize the unit circle I really appreciate that 😊
Thank you so much! I have been struggling to memorise these for the past few months and this has finally made it a lot easier!!!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Glad it helped!
Most helpful video I have every watched regarding any subject. Thank you so much!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching!
Thanks so much you deserve a trophy
The Best Explanation on the internet YET!!!! Thank You!
@ColesWorldofMathematics
7 жыл бұрын
Thanks!
Thank you so much. This is awesome! Best video out there for explaining the unit circle!
@ColesWorldofMathematics
7 жыл бұрын
Thanks! Glad it was helpful! Thanks for watching! Please share!
SO helpful!!! Thank you! Helped me so much with trig:)
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Glad it was helpful! Thanks for watching.
I love you! This is fantastic, I've been trying to understand this for a week. 🙉
@ColesWorldofMathematics
6 жыл бұрын
So glad the video was helpful! Thanks for watching.
Wow! That was the absolute BEST presentation on the unit circle and its varied values I have ever seen. Very visually memorable and the color-coding is genius (I wish I would have figured that out earlier). Worthy of a subscription! PS: Do you do calculus videos?
@ColesWorldofMathematics
7 жыл бұрын
Thank you so much for the positive comments! I have some calculus 1 videos, but just getting started on those, so definitely fewer to choose from. Here's the link to the calculus videos playlist: kzread.info/head/PLLJtxV0yM9rYSJjWW07qqQ3zHckgvcYpD
@sail2byzantium
7 жыл бұрын
Thank you so much--I will give those a look!
@John-wx3zn
3 жыл бұрын
sail2byzantium, I have a way faster way of doing it. First mark off the counter clockwise 30 degree increments. And the starting at the first 30 degree angle rught down pi over 6, the second one 2 pi over 6, the 3rd one 3 pi over 6, the forth one 4 pi over 6, the fifth one 5 pi over 6, the 6th one 6 pi over 6, the 7th one 7 pi over 6, the 8th one 8 pi over 6, the 9th one 9 pi over 6, the 10th one 10 pi over 6, the 11th one 11 pi over 6, the 12th one 12 pi over 6. See how they are all in order from 1 to 12. With out reducing the so the numbers stay in order and the denominators do not change. 2 pi over 6 is read here is two pi over 6es like hear is two apples, 3 pi over 6es, here is three apples. The next step is to right down the reduced fraction for each radian angle in lane 2. lane 1 like on a running track the non reduced radian measures. This way I can look at lane 1 and only see my 1 to 12 non reduced radian measurements. If I look at lane 2, I see the reduced radian measurements. For the 45 degree increments only have to add 45 degrees each time. Done.
Thank you so much for this video!!! This is a great help!
@ColesWorldofMathematics
6 жыл бұрын
That's awesome! So glad the video was helpful for you!!! Thanks for watching.
This video is so helpful! So many tips and tricks! Thank u soo much
@ColesWorldofMathematics
5 жыл бұрын
You’re welcome! Thanks for watching. Please share with your friends! 👍🏻😃
Absolutely loved this! Excellent video!
@ColesWorldofMathematics
7 жыл бұрын
Thank you for the nice comment!
The best video out there! Thank you!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome!!!! Thanks for watching!
WOW! I finally understand the unit circle thanks to your method! Thanks tons :-)
@ColesWorldofMathematics
6 жыл бұрын
You're welcome! Glad it was helpful for you! Please share with your friends so others can benefit too! Thanks!
Thanks for this terrific explanation-your teaching is outstanding. Making a real difference in my trig class.
Truly amazing video, this helped me a lot, thanks!
@ColesWorldofMathematics
7 жыл бұрын
You are welcome! Glad it helped!
This is so amazing! I've been struggling with memorizing this forever, and its really hurt me in my trig class. Thank you so much! You're an angel :')
@saraaxtonin
7 жыл бұрын
AND I HAVE A TEST TODAY BLESS YOU
@ColesWorldofMathematics
7 жыл бұрын
Thanks! Glad it was helpful!
Your video's are very helpful! I watched a bunch of them to prep for my daily trig quizzes that I have for the rest of the week. I will recommend this video to my teacher... Thank you so much and I look forward to watching your future videos.
@ColesWorldofMathematics
7 жыл бұрын
Thank you so much! Glad my videos are helpful! Thanks for sharing this video with your teacher!
When my professor told us we needed to memorize this, I was freaking out because I struggle with memorization, but after watching probably 2 hours worth of other videos on this I found this one and it finally clicked! Thanks so much for helping me learn something I've been struggling with! It's actually kind of fun now that I get it!
@ColesWorldofMathematics
7 жыл бұрын
So glad the video was helpful for you! Good luck!
thank you so much! this was SUPER helpful!!
@ColesWorldofMathematics
6 жыл бұрын
Thanks! That's great. Please share with your friends.
This is literally amazing, thank you so much!
@ColesWorldofMathematics
7 жыл бұрын
Thank you and Thanks for watching!
Wow! This is amazing! Thank you so much for sharing these tips! Super super helpful!
@ColesWorldofMathematics
7 жыл бұрын
Thanks! Glad you found it helpful! Thanks for watching!
So neat,so informative,very clear i have been working on this for days and you just made it way easier thank you .❤
@ColesWorldofMathematics
5 жыл бұрын
Very glad the video was helpful! Thanks for watching.
The finger part is really helpful! Thank you :)
@ColesWorldofMathematics
6 жыл бұрын
You're welcome! Thanks for watching.
Bless this woman this is some galaxy brain level shit dude. I thought I was gonna fail my precalc test but not anymore!! Thank you so much this video is a godsend 😊🙏🙏
i love this so helpful i now know how to fully memorize the unit circle thank you so much:))
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching. Please share with your friends.
Very nice explanation there are so many patterns and techniques one can use for the "Unit Circle", but I truly liked your example the best. The coloring of the lines is just genius it made everything so simple. I will definitely borrow this technique as I teach my kids how to manipulate the circle. Thanks,
@ColesWorldofMathematics
8 жыл бұрын
+Harold Simpson You're so very welcome! Thank you for the nice remarks! Glad to be able to share the idea!
An excellent video indeed! Thank you!
@ColesWorldofMathematics
3 жыл бұрын
Glad you enjoyed it!
This was so helpful! Thank you very much!
@ColesWorldofMathematics
6 жыл бұрын
You're welcome! Thanks for watching. Please share with your friends.
thank you so much for this very helpful video, i managed to learn and understand more through this, thank you so much!
@ColesWorldofMathematics
6 жыл бұрын
You're welcome! Thanks for watching.
mindblowing... as someone struggling with this. u made it seem so easy to do. thank you.... i can’t tell how much anxious i get whenever i can’t understand something overwhelming... thank u again... wish u the best 😁😸🤩👏🥳
@ColesWorldofMathematics
3 жыл бұрын
So very glad the video was helpful for you! Math doesn’t have to be stressful.....when it’s explained in the right way! Super glad you found the video! Good luck with your math class!
You are a Genius!You make it the opposite of confusing like the other videos.Thank you so much!
@ColesWorldofMathematics
7 жыл бұрын
Thank you so much for such a nice comment! So glad the video was helpful! Thanks for watching.
@vardhinikarun2086
7 жыл бұрын
No problemo
Your video helped me out so much with memorizing the unit circle for pre cal 😊 such a wonderful video!
@ColesWorldofMathematics
7 жыл бұрын
So glad it was helpful! Thanks for watching. Please share with your friends.
Great video! It really helped me memorize the unit circle.
@ColesWorldofMathematics
6 жыл бұрын
That's great! Thanks for watching.
This vid helped a lot! Thank you!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Glad it helped!
Excellent method for memorizing the unit circle. Thank you so much!
@ColesWorldofMathematics
7 жыл бұрын
You are welcome. Glad you liked it! Thanks for watching.
The most helpful video. Thank you
@ColesWorldofMathematics
4 жыл бұрын
So glad the video helped you! Thanks for watching and commenting.
This is soooo awesome..i am glad, this has helped me so much. Thank you!
@ColesWorldofMathematics
7 жыл бұрын
Glad it helped you out!
this is smart and really helpful, thanks a lot!
@ColesWorldofMathematics
5 жыл бұрын
You are welcome! Thanks for watching!
Love this! it helped me so much thank you!!!!!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Glad it helped you!
very good stuff!!!! Thank you
@ColesWorldofMathematics
5 жыл бұрын
You’re welcome! Thanks for watching!
Aaaah Genius😍Thank you God bless you.❤
@ColesWorldofMathematics
5 жыл бұрын
Thank you so much!
Thank God I finally found the best method! Thank you soo much
@ColesWorldofMathematics
6 жыл бұрын
You're welcome! Glad it helped you out! Thanks for watching.
God bless you cole you're helping me pass my class 😊😊😊😊
@ColesWorldofMathematics
4 жыл бұрын
Glad I can help! Thanks for watching.
This is the best technique to memorise angles and values I've seen so far on youtube!
@ColesWorldofMathematics
7 жыл бұрын
Thank you so much for the positive feedback!
wow great this is the best trick which I saw forever. thank you.
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching.
2 years later and still helping people memorize this thing daily!! Thanks for the help!
@ColesWorldofMathematics
6 жыл бұрын
You're welcome! Glad the video was helpful!!!! Thanks for watching.
Great to see your video ma'am ..Love from India
@ColesWorldofMathematics
6 жыл бұрын
Glad you liked it! Thanks for watching. 😀
Thank You for the great video! I am about to ace the Unit Circle Quiz I am taking tmrw!
@ColesWorldofMathematics
6 жыл бұрын
That's great! Hope you did well on your quiz!
Enjoyed this lecture very much and learned some cool tricks. Thanks a lot.
@ColesWorldofMathematics
7 жыл бұрын
Thanks! Glad you liked it.
i was stressing over my exam for unit circles tomorrow but now im so confident thank you so much
@ColesWorldofMathematics
7 жыл бұрын
So glad it helped!
So good! Thank you!
@ColesWorldofMathematics
5 жыл бұрын
You’re welcome!
wooow excellent video, excellent way to teach maths tahnk you so much :)
@ColesWorldofMathematics
5 жыл бұрын
Thanks! Please share with your friends.
Purely AMAZING!!!
@ColesWorldofMathematics
7 жыл бұрын
Thanks!
I passed my geometry test thanks to this! I appreciate the helpful and easy understanding of the video! Keep up the great videos!
@ColesWorldofMathematics
7 жыл бұрын
Congrats on passing your geometry test! Glad the video was helpful!
I just want to say that I’m a Junior in High School and I was having a tough time memorizing my unit circle or making an sense of it but when I watched your video it came so easy.
@ColesWorldofMathematics
6 жыл бұрын
So glad the video helped you! Thanks for watching.
Thanks, this really helped!
@ColesWorldofMathematics
6 жыл бұрын
You're welcome. So glad it was helpful! Thanks for watching.
Omgosh, thank you! I finally understand the unit circle & how to do it!! ^_^ #youarealifesaver!
@ColesWorldofMathematics
7 жыл бұрын
So glad the video was helpful! Thanks for watching.
Thank you so much!!! THIS video helped out a lot!!😌😌
@ColesWorldofMathematics
7 жыл бұрын
You are welcome! Glad it helped! Thanks for watching.
You are the best!!! Thank you so much for the helpful tricks! I'm going to use this for my exam in 48 hours.
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Glad it was helpful for you!
Better than my teacher now I understand it a lot more
@ColesWorldofMathematics
7 жыл бұрын
So glad the video helped you! Thanks for watching.
@John-wx3zn
3 жыл бұрын
Diego Trejo, Cole, I have a way faster way of doing it. First mark off the counter clockwise 30 degree increments. And the starting at the first 30 degree angle rught down pi over 6, the second one 2 pi over 6, the 3rd one 3 pi over 6, the forth one 4 pi over 6, the fifth one 5 pi over 6, the 6th one 6 pi over 6, the 7th one 7 pi over 6, the 8th one 8 pi over 6, the 9th one 9 pi over 6, the 10th one 10 pi over 6, the 11th one 11 pi over 6, the 12th one 12 pi over 6. See how they are all in order from 1 to 12. With out reducing the so the numbers stay in order and the denominators do not change. 2 pi over 6 is read here is two pi over 6es like hear is two apples, 3 pi over 6es, here is three apples. The next step is to right down the reduced fraction for each radian angle in lane 2. lane 1 like on a running track the non reduced radian measures. This way I can look at lane 1 and only see my 1 to 12 non reduced radian measurements. If I look at lane 2, I see the reduced radian measurements. For the 45 degree increments only have to add 45 degrees each time. Done.
The part for radians is amazing! Thank you so much 😲
@ColesWorldofMathematics
6 жыл бұрын
You're welcome! Thanks for watching. Please share with your friends.
Thank you so very much!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching! Please share!
So helpful!. Thank you so much!.
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching!
Thanks a lot. Very helpful
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching!!
you are the best of the best of best of the best , thank you .
@ColesWorldofMathematics
6 жыл бұрын
Thank you so much! Thanks for watching.
This is so helpful god bless you ❤️❤️
@ColesWorldofMathematics
7 жыл бұрын
Thanks! Glad it was helpful! Please share with your friends so others can benefit!
Thank you so much!!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching.
i am a teacher of math and enjoying your teaching tricks. Thanks
@ColesWorldofMathematics
6 жыл бұрын
You're welcome! Glad to share!
omg... it is DamN GOOD!!Thankful so much!!!
@ColesWorldofMathematics
7 жыл бұрын
Thanks for watching!!
this was really helpful!
@ColesWorldofMathematics
Жыл бұрын
Glad it was helpful!
i am so thankful for this video I feel like I've finally understood the topic hopefully I pass my test tomorrow.
@ColesWorldofMathematics
6 жыл бұрын
That's great! Thanks for watching.
I love the way you say negative 😊
@ColesWorldofMathematics
7 жыл бұрын
lol....your comment made me relisten to the video! 😃
Thank you so much! You made my day! :)
@ColesWorldofMathematics
7 жыл бұрын
That's great! So glad it was helpful!
Thank you for making it look so simple.
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching!
Thank you so much it was so easy when you did it and you really saved me!!!
@ColesWorldofMathematics
7 жыл бұрын
You are welcome! Glad it helped! Thanks for watching!
Thank you so much😭❣ I need this for my final exam ;-; I memorized the whole thing just by watching, you're amazing
@ColesWorldofMathematics
5 жыл бұрын
So glad the video was helpful for you! That's why I make math videos! Good luck on your exam.
It is very helpful thanks so much Dear.
@ColesWorldofMathematics
5 жыл бұрын
You’re welcome! Thanks for watching!
I remember when I was in second year high school and I (together with my other classmate) was sent to represent my school in a math competition. We never tackled this topic at the time and lucky for me I've already discovered youtube lessons back then so I could advance in everything. So this question came out and we were given 15 seconds to calculate mentally. Only our school got the correct answer and they're all shook (even my math teacher was impressed 'cause he knew he hadn't taught us this yet). We won that competition and all credit is on youtube lecture series lol Good old days. Now I'm coming back here to review for NMAT. Hope I can slay this one too 😂
@ColesWorldofMathematics
5 жыл бұрын
KZread is a great place to learn. Keep up the good work and good luck on the NMAT.
Where was that "Square root of the fingers over two" trick when I was learning trigonometry 20 years ago??? That's an amazing mnemonic! Pure genius
@ColesWorldofMathematics
5 жыл бұрын
👍😀
This is the best trick I have ever been taught! thank you! Btw it seems like you can skip memorizing the second quadrant numerators since its the denominator minus one.
Its too good I memorised half of the things while just watching The technique used by you maam is too smarty and good😊
@ColesWorldofMathematics
6 жыл бұрын
Thanks! Glad the video was helpful for you! Thanks for watching.
AMAZING for my pre calc class!
@ColesWorldofMathematics
7 жыл бұрын
Thanks! Thanks for watching!
Awesomely perfect
@ColesWorldofMathematics
6 жыл бұрын
Thanks!
this has been SO helpful in knowing everything,. my only problem is my teacher expects us to fill it out in 30 seconds lol
@ColesWorldofMathematics
7 жыл бұрын
Good luck with that!!
Great job.
@ColesWorldofMathematics
6 жыл бұрын
Thanks!
Best example thank you
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching.
Wow thank so much i can ace the recitation for sure
@ColesWorldofMathematics
6 жыл бұрын
So glad the video was helpful for you! Thanks for watching.
you made it very easy thanks
@ColesWorldofMathematics
6 жыл бұрын
You're welcome!