Krista, you are an absolute life saver. I have been struggling with remembering the unit circle in its entirety for weeks now. We have our second test tomorrow (failed the first) and its basically what you have done here plus graphing all the transforms of the 6 trig functions. We cannot bring the unit circle to use on the test, but we are allowed to recreate the circle during the test on note paper (on the clock) to use but we must turn it in as well. The beginning.....where you show 1, 2, 3, over common denominators of 2, bottom to top and vise versa and then apply the roots to the numerator was absolutely invaluable. While I cannot guarantee that this alone will be the cause of me passing, it absolutely will be a tremendous help in not completely bombing it. Cannot thank you enough!
So awesome, Brian! I really hope it'll help on the test. When I was in school, I would always work on memorizing the last few formulas I was having trouble with right before I would walk into the exam, and then as soon as the exam started, would immediately right them down on the test. That way I only had to remember them for a few minutes, and I wouldn't have to hold them in my head for the entire test and be distracted. If you can have that unit circle in your head right before you walk in, and then immediately put it on paper, it sounds like that could be a big advantage on this test in particular. I'll keep my fingers crossed that it goes great for you! :D
Thanks! The test went well, I think. The last test I failed (56/100), I was literally the last one to turn it in and I wasn't finished. This time I was 2nd done with 20min to spare; not sure if thats a good thing or a bad thing. I gave it my best though. Things just seemed to flow this time and I knew what I was doing. We shall see in a day or so when I receive the email that our grades are posted. Just an hour ago I received our homework email.....106 problems due Tuesday on: -Graphs of tan/cot functions -Graphs of sec/csc functions -Summary of all circular functions -Fundamental Identities -Verifying Trigonometric Identities -Sum and Difference Identities for Cosine -Sum and Difference Identities for Sine and Tangent Who needs a 4 day 4th of July weekend anyway. Ugh...brutal
Wow. 106 problems, is that all?! What are you going to do with all your free time this weekend? 😂 No but seriously, I know how fast summer classes go. 🙈 Hopefully the fact that you finished this test so fast means you've found your groove. Good luck this weekend... I'll be posting more trig videos next week!
You know, I don't usually post comments a whole lot, especially if it's to praise someones work, but after a day of searching for unit circle videos and having no luck with easy to understand concepts I found yours and it was like a struck gold. Very clear and precise, thank you for this and keep it up!
i know this vid is almost 6 years old but by GOD you teach really, really well! this was very clear, and i am so thankful for your graphics, concise language, and really good mic!
@@jerryscanas its easy for YOU. For some people its confusing at First and we need to be empathic if we want more people to be able to love maths. Gifted people too much conclude about others according to their own Feeling about themselves. Not very empathic.
Ugh really my class is like 2.5 hrs & everyday I'm confused recently started youtube vids & it makes math seem easy my class is Calc but we reviewed what I dont even remember learning 🙃
YOU ARE A LIFE SAVER ! My teacher was getting really complicated with the unit circle but this was super clear and easy to remember without getting too technical :)
Thanks for letting us know about your frustrating past as a young high school student; there would be millions of young students who are suffering the same frustrations. However, thanks to your insightful explanations of "complex" mathematical facts, many more interested people will gain very much from your lectures. It is a given fact that those people who struggled and ultimately succeded in maths will be the best teachers because they know how the "average mind" works and how it can be stimulated to understand complex maths when taught in so-called "bite-sized chunks". Thanks once again for your enlightening lectures.
May God bless you soooo much for making this video, you have no idea about the stress you just relieved in my life. Last week I dropped out my first trigonometric class and registered to another class because my first Professor seems to hate life and everything around her. she speaks way fast but can't explain anything. I am currently relearning math after 11y of break and need someone like you in my life right now. You won a new subscriber tonight.
Thank you so much! I'm so happy to be able to help! I know it's super tough to come back to math after a long break, so I hope I'll be able to continue to help along the way! :)
Thank you so much! You explained this better than my high school math teacher did 10 years ago. For somebody who has not touched this in a decade, your video is easy to remember and most importantly, makes total sense!
I am taking a trig class right now and you taught me more about the unit circle than my professor has all semester long. Thank you for your excellent explanation for remembering and mapping out radians.
Dear Krista, Thank you for yet another wonderful lesson video. In this particular lesson it’s interesting to note that you didn’t rely on memorization. You demonstrated the logic, the connections, and the theory behind it all. It wasn’t so much mechanics as it was the flow of logical relations. This is typical of you, and I so appreciate how you teach. You are magnificent. I’ve never met anyone who combines content knowledge with teaching skills and patience with your students as you do. You’re the best on the planet. I’d bet on it. Thank you. And thank you for teaching in such a kind and caring way. You should write the textbook on how to do it all correctly.
i was struggling in math, this unit circle got me going crazy. and to say you helped me out right now would be an understatement, you just saved me really. like i understand so much more than i did before and i thank you for doing this, it was so so so helpful.
This really helped me. I have a math test tomorrow and knew nothing about the Unit Circle, watching your video I was able to figure it out in just a short 18 minutes. I really appreciate this and keep doing what your doing. Thank you so much!!
Wow wow 🤩 why can’t we ever have great teachers like you in classes? I left school without ever understanding what my teacher is talking about and yet got this in 20mins🤔
This was amazing, got so much more from this than my OU study material. Currently coming up to pre-calculus in a math bridging course for an engineering diploma, really grateful to you and have subscribed.
This is a wonderful way of explaining the UC. I wish I would have seen this 4 semesters ago. Thank you! Your vids have gotten me out of being stuck several times!
This helped me sosoosos much, my professor explained it in a way that made it even worse but watching your video cleared everything up so thank you so much, you’re a savior!!
Your videos are absolutely amazing, and these are a heaven sent resource for me to use as a reference while I finish my engineering degree. Thank you, and, keep producing great content!
Thank you so much. Really. I’m a CS major and I was really doubt myself that I wouldn’t get trig and it would stop me from getting the degree. After 2 weeks in the course, everything makes so much more sense. Thank you
I had no idea such a thing existed, until I was warned "no calculator allowed in the exam". You have helped me a lot. Thank you so much. Amazing how beautiful mathematics can be!!!
Wow this is amazing, we recently started with complex number and I've been struggling with the angles of the uni-circle and the special angles were not enough for this. Thank you very much for this greate video now I can recreate this during my tests and work out the angles nicely.❤
i have bad luck with getting teachers/professors that either tell us to copy this down w/o explaining where the values come from or just skim thru it like we were supposed to be born knowing this but you just made my life so much easier with this video
Hey! Thanks so much! Transferred to a new small school that goes straight from Alg2 to Calc, so was worried about my shaky trig foundations. After watching 3 videos on the unit circle, this is by far the best. Thanks so much for the help. I rarely up-vote, but this one earned it. I will be recommending it in class on Monday.
Excellent as always, Krista! I teach it almost exactly the same way, except I begin with special triangles from geometry so the kids can "build" the coordinates around the circle instead of trying to memorize them. Then we do a unit circle poster where the kids create a unit circle on top of a known circular object. This year I got great stuff like the Death Star, the NASA logo, Pacman, etc. I love this stuff :)
I really like this. I also incorporated a few additional noteworthy pieces to this study guide-- part of my own drawing. It turned out to be an absolutely insane diagram.
All these years of being in school and I never got the unit circle until now. I'm a Junior in college with a Comp. Sci. major and this tutorial boosted my confidence in Calc tremendously. Could be the King energy transferring lol ( that's my last name too :-)) Thx so much!!
This is how I quickly draw it on scrap paper. 2's and 1-2-3, 1-2-3. I just do the first quadrant, though, and remember A-S-T-C. Thank you for doing this video.
Thank you so much for this! I am taking an online course and they just zoomed through the unit circle video and then expected me to be able to do so many problems based off of it. I was so lost, but this video just saved me from failing that lesson. Once again, thank you! :)
I was freaking out when I got to this lesson and In just a few minutes you explained it beautifully..I’ve watched so many videos but this one did it.. thank you so much...
Thank you so much! Watching this video as I get dressed for school. I have pre-cal first period, and would have failed without this. I’ll update my score when it comes.❤️
I didn't watch your whole video, but thanks a lot. You're great.. I love people like you.... you lead the learner to go out of his/her way to find the answer themselves, at least that's the case for me. Bless you :)
Oh my god u have just saved me I have a test tomorrow and I definitely knew I was going to fail because I didn’t know anything about the unit circle your strategies that you used to graph the unit circle made it look so easy please keep doing what you are doing!
I really love your video, I can understand now!!!! Thanks for explaining each part and put examples, I really appreciate... you explained pretty well, and now I can use it for my homework and test!!! God Bless You ♥
Thank you so much for this. Very excellent explanation. But I think you interchanged 4π over 6 and 2π over six in part 10:19 of you video. I was confused and played it over and over again.
Let me rephrase that. I made a mistake as well. You said 4π/6 is equal to π/2. And 2π/6 is equal to 2π/3. That confused me a little bit because this is my first time learning this, but I think it's just slip of the tongue.
Krista, you are an absolute life saver. I have been struggling with remembering the unit circle in its entirety for weeks now. We have our second test tomorrow (failed the first) and its basically what you have done here plus graphing all the transforms of the 6 trig functions. We cannot bring the unit circle to use on the test, but we are allowed to recreate the circle during the test on note paper (on the clock) to use but we must turn it in as well. The beginning.....where you show 1, 2, 3, over common denominators of 2, bottom to top and vise versa and then apply the roots to the numerator was absolutely invaluable. While I cannot guarantee that this alone will be the cause of me passing, it absolutely will be a tremendous help in not completely bombing it.
Cannot thank you enough!
So awesome, Brian! I really hope it'll help on the test. When I was in school, I would always work on memorizing the last few formulas I was having trouble with right before I would walk into the exam, and then as soon as the exam started, would immediately right them down on the test. That way I only had to remember them for a few minutes, and I wouldn't have to hold them in my head for the entire test and be distracted. If you can have that unit circle in your head right before you walk in, and then immediately put it on paper, it sounds like that could be a big advantage on this test in particular. I'll keep my fingers crossed that it goes great for you! :D
Thanks! The test went well, I think. The last test I failed (56/100), I was literally the last one to turn it in and I wasn't finished. This time I was 2nd done with 20min to spare; not sure if thats a good thing or a bad thing. I gave it my best though. Things just seemed to flow this time and I knew what I was doing. We shall see in a day or so when I receive the email that our grades are posted. Just an hour ago I received our homework email.....106 problems due Tuesday on:
-Graphs of tan/cot functions
-Graphs of sec/csc functions
-Summary of all circular functions
-Fundamental Identities
-Verifying Trigonometric Identities
-Sum and Difference Identities for Cosine
-Sum and Difference Identities for Sine and Tangent
Who needs a 4 day 4th of July weekend anyway. Ugh...brutal
Wow. 106 problems, is that all?! What are you going to do with all your free time this weekend? 😂 No but seriously, I know how fast summer classes go. 🙈 Hopefully the fact that you finished this test so fast means you've found your groove. Good luck this weekend... I'll be posting more trig videos next week!
You know, I don't usually post comments a whole lot, especially if it's to praise someones work, but after a day of searching for unit circle videos and having no luck with easy to understand concepts I found yours and it was like a struck gold. Very clear and precise, thank you for this and keep it up!
i know this vid is almost 6 years old but by GOD you teach really, really well! this was very clear, and i am so thankful for your graphics, concise language, and really good mic!
Thank you so much, Issa, I'm so glad you liked it! :)
as someone with little to no background in trig and calc, its so helpful for you to go slow!
you are better then my math teacher. she was speaking nonsence the whole time about a chicken crossing rivers.
lol.. seems like I already know what you are talking about.
It's fairly easy just give cos=x and sin=y and remember the negative or positive of where you are in the circle
@@jerryscanas its easy for YOU. For some people its confusing at First and we need to be empathic if we want more people to be able to love maths. Gifted people too much conclude about others according to their own Feeling about themselves. Not very empathic.
wt.f
Wait, I wanna know what's happened with the chicken. And why your teacher neglected the opportunity to make them cross roads >:(
Yep, this was easier to understand than my 1hr 20mins class.
Ugh really my class is like 2.5 hrs & everyday I'm confused recently started youtube vids & it makes math seem easy my class is Calc but we reviewed what I dont even remember learning 🙃
mine was a useless 1 hr 40min class.
YOU ARE A LIFE SAVER ! My teacher was getting really complicated with the unit circle but this was super clear and easy to remember without getting too technical :)
Oh good! I'm so glad it helped!! :)
i've watched so many videos and this is by far the best
Thanks, Liam! :D
yeah I have a test on this and this explanation exceeded both any videos i have seen, and my teacher's lesson.
Thanks for letting us know about your frustrating past as a young high school student; there would be millions of young students who are suffering the same frustrations. However, thanks to your insightful explanations of "complex" mathematical facts, many more interested people will gain very much from your lectures. It is a given fact that those people who struggled and ultimately succeded in maths will be the best teachers because they know how the "average mind" works and how it can be stimulated to understand complex maths when taught in so-called "bite-sized chunks". Thanks once again for your enlightening lectures.
I can't even count how many videos and tutorials I've gone through and this is the first one that made sense. thank you SO much
You're very welcome, Kaylee, I'm so glad this helped! :D
This has to be the best explanation of the unit circle I’ve found on YT. Thanks a million!!!
Excellent presentation!!!!
I never learned it in school; it seemed very confusing.
Now I have truly come "FULL CIRCLE", THANKS TO YOU!!!
I have a test over this tomorrow. This video was really helpful.
I'm so glad it helped, and I hope the test went great!
OMG this video is a life saver! Protect this video at all costs! Thank you! Thank you! Thank you!
Krista, You are a great teacher, you have a gift ! Thank You
May God bless you soooo much for making this video, you have no idea about the stress you just relieved in my life. Last week I dropped out my first trigonometric class and registered to another class because my first Professor seems to hate life and everything around her. she speaks way fast but can't explain anything. I am currently relearning math after 11y of break and need someone like you in my life right now. You won a new subscriber tonight.
Thank you so much! I'm so happy to be able to help! I know it's super tough to come back to math after a long break, so I hope I'll be able to continue to help along the way! :)
Thank you so much! You explained this better than my high school math teacher did 10 years ago. For somebody who has not touched this in a decade, your video is easy to remember and most importantly, makes total sense!
Thank you so much Krista!! This is the best video to learn the Unit Circle so far
You're welcome, Veronica! I'm so glad it helped! :D
I just want to say thank you from the bottom of my heart.
Thank you, Andrea! I'm so happy that the videos are helpful! :)
I am taking a trig class right now and you taught me more about the unit circle than my professor has all semester long. Thank you for your excellent explanation for remembering and mapping out radians.
I'm so glad it helped! :)
Thank you so much for the support Krista King!
Dear Krista, Thank you for yet another wonderful lesson video. In this particular lesson it’s interesting to note that you didn’t rely on memorization. You demonstrated the logic, the connections, and the theory behind it all. It wasn’t so much mechanics as it was the flow of logical relations. This is typical of you, and I so appreciate how you teach. You are magnificent. I’ve never met anyone who combines content knowledge with teaching skills and patience with your students as you do. You’re the best on the planet. I’d bet on it. Thank you. And thank you for teaching in such a kind and caring way. You should write the textbook on how to do it all correctly.
Thank you so much, George! That's such a kind thing to say, you made my day! :)
Krista if I ever graduate I'm thanking you at my graduation ceremony. The first two years of school have been so much easier thanks to your videos.
Aww that's so nice of you to say! I'm glad I could help along the way. :D
You are absolutely amazing , I learnt this for trigonometry
Joined my Trig class 1 week late, now I’m all caught up. Thank you!
You and NancyPi is the reason why I'm doing good in the trig chapters
Thank you, Krista. Again, you're the best. I always learn so much from you.
i was struggling in math, this unit circle got me going crazy. and to say you helped me out right now would be an understatement, you just saved me really. like i understand so much more than i did before and i thank you for doing this, it was so so so helpful.
You're welcome, Awesome, I'm so glad it helped! The unit circle can make anybody crazy! :)
@@kristakingmath indeed. and because of your video i Aced me quiz. Thank you!
Highly Recommened .Got the whole concept in one shot !
Very useful. I have my final pre-calculus next Thursday. I have bookmarked your channel, followed and subscribed to notifications. Thanks you!
This really helped me. I have a math test tomorrow and knew nothing about the Unit Circle, watching your video I was able to figure it out in just a short 18 minutes. I really appreciate this and keep doing what your doing. Thank you so much!!
You're welcome, Gabrielle! I hope the test went great!! :D
Wow wow 🤩 why can’t we ever have great teachers like you in classes? I left school without ever understanding what my teacher is talking about and yet got this in 20mins🤔
I'm so glad I was able to help clarify, Maxwell! :)
Yes I don’t know how to express how I feel especially now thinking if I learnt this years back🤔. You are natural 🏆
uhh.. thats what i was searching whole the day n you explained all the things in one video n one circle. thanks a lot :)
+Syed Rahman You're welcome, I'm so glad it helped!!
Perfect explantation! Thank you so much for a brief yet so concise introduction to the unit Circle🙌
Ok here is the thing I want to say. YOU ARE A LIFE SAVIOR!!!!!!! thanks, thanks a lot it really makes sense this way.
This was amazing, got so much more from this than my OU study material. Currently coming up to pre-calculus in a math bridging course for an engineering diploma, really grateful to you and have subscribed.
Awesome, thanks! Would love to help as much as I can through Pre-Calc and any math you decide to take after that! :D
this is the most helpful and easy to follow math video i have ever seen. thank you so much!
I'm so glad it helped! :D
You're a genius. You teach better than my math teacher.
This is a wonderful way of explaining the UC. I wish I would have seen this 4 semesters ago. Thank you! Your vids have gotten me out of being stuck several times!
Thank you very much! I'm so glad the videos have helped!! :D
integralCALC
Hi Krista, Which software did you use to make these videos.
Enter I explain here :) www.kristakingmath.com/my-videos
This helped me sosoosos much, my professor explained it in a way that made it even worse but watching your video cleared everything up so thank you so much, you’re a savior!!
I'm so glad it helped!! :D
Excellent video! Thank you for posting. Also very well explained with fantastic tips for remembering how to draw the unit circle.
Thanks, Declan! :)
Your videos are absolutely amazing, and these are a heaven sent resource for me to use as a reference while I finish my engineering degree. Thank you, and, keep producing great content!
Aw thanks! I'm so glad they're helping!
This is amazing how can we thank people like you ☺️
I’ve watched ten videos cramming for my exam, this is the first one that really explains! Thank you!
You're welcome, Jennifer, I'm so glad it made sense! :)
Thank you so much. Really. I’m a CS major and I was really doubt myself that I wouldn’t get trig and it would stop me from getting the degree. After 2 weeks in the course, everything makes so much more sense.
Thank you
You're welcome, Tony! I'm so glad everything is starting to click! :D
I had no idea such a thing existed, until I was warned "no calculator allowed in the exam". You have helped me a lot. Thank you so much. Amazing how beautiful mathematics can be!!!
I'm so glad I could help!
Wow this is amazing, we recently started with complex number and I've been struggling with the angles of the uni-circle and the special angles were not enough for this. Thank you very much for this greate video now I can recreate this during my tests and work out the angles nicely.❤
Holy crap! Thank you so much
This stuff is definitely not easy, so I'm so glad to hear that this helped! :D
i have bad luck with getting teachers/professors that either tell us to copy this down w/o explaining where the values come from or just skim thru it like we were supposed to be born knowing this but you just made my life so much easier with this video
Oh good! I'm so glad it helped!! :D
This is the easiest and fastest way to learn to unit circle. The most interesting part is finding tanget. Thanks for making the video!
That 1, 2, 3 then 1, 2, 3 made memorizing the coordinates SO EASY! Thank you for that tip!
You're welcome, Dan! I'm so glad it helped! :)
Very nice explanation! I am relearning math and just found your channel. Thank you.
You're welcome, Steve! Happy to have you here, and I hope the videos will continue to be helpful! :D
Thank you so much. I found this video helpful in fully understanding the unit circle and how it operates.
Hey! Thanks so much! Transferred to a new small school that goes straight from Alg2 to Calc, so was worried about my shaky trig foundations. After watching 3 videos on the unit circle, this is by far the best. Thanks so much for the help. I rarely up-vote, but this one earned it. I will be recommending it in class on Monday.
Thank you so much, Joniah! I'm honored! :)
@@kristakingmath :)
thank you soooo much for explaining this difficult concept in an easy way!
You're welcome, I'm so glad this helped! :D
Saved my life
I have a test in less 2 hours and just understood it so thanks
ItsYahBoi same :( and hopefully you did good!!
Excellent. Esp. liked the counting method for remembering radians. Thanks Krista!
You're welcome, thanks sail! :D
I am lost for words. Does it get any better? You took a complicated puzzle and made it childs play.
Awesome video, ma’am!! Thanks for the effort and keep it up! Love it!
Thank you! Will do! :D
Thank you so much.... Keep posting all your work....🌹🌹🌹🌹🌹🌹🌹🌹🌹👍👍👍👍👍👍👍👍👍👍👍👍👍
You’re honestly a lifesaver❤
Amazing, the best unit circle video I've seen.
I just wanna thank you so much for this - it was a huge help! The way you explained it made so much more sense!
You're very welcome, Sheryl! I'm so glad everything made sense! :D
BEST unit circle video out there! Liked, subbed!
Awesome, Fezii, thank you so much! :D
This is genious! Thanks for the help in my Pre-calc class
You're welcome, John! Happy to help! :)
Excellent as always, Krista! I teach it almost exactly the same way, except I begin with special triangles from geometry so the kids can "build" the coordinates around the circle instead of trying to memorize them. Then we do a unit circle poster where the kids create a unit circle on top of a known circular object. This year I got great stuff like the Death Star, the NASA logo, Pacman, etc. I love this stuff :)
LOL, I love that idea! Kudos to the kid who did the Death Star. :D
Make a video of this. It would be so cool to see
Amazing explanation! Thank you so much!
You're welcome, Alex, I'm glad you enjoyed it!
wow wow....i never thought i'll understand this
you're a life saver. thank you
You're welcome! I'm so glad it finally made sense! :D
This is very helpful! Thank you for making this videos
You're so welcome, Ana, I'm glad they're helping! :D
I really like this. I also incorporated a few additional noteworthy pieces to this study guide-- part of my own drawing. It turned out to be an absolutely insane diagram.
WOW ...... i spent like more than 6 years stressing over memorizing this. GREAT VIDEO TY SO MUCH >.
You're very welcome, I'm so glad it helped! :D
You’re making learning understandable for dummies like me. Thank you
1st 4 minutes, i love your voice very clear. Thanks!
10:14 isnt it suppose to be 3pi/6 so it will be pi/6 when simplified? coz you said 4pi/6
Yes I think she meant 3pi/6
she meant 3pi/6 but she is right about it being pi/2 ...
3π/6 = π/2 😷✌
All these years of being in school and I never got the unit circle until now. I'm a Junior in college with a Comp. Sci. major and this tutorial boosted my confidence in Calc tremendously. Could be the King energy transferring lol ( that's my last name too :-)) Thx so much!!
Bless you for this 🙏🏿🙏🏿
bless uppp Krista this is helping me for the AP Calc BC Exam tomorrow ✌️
This is how I quickly draw it on scrap paper. 2's and 1-2-3, 1-2-3.
I just do the first quadrant, though, and remember A-S-T-C. Thank you for doing this video.
Wow! Got it! So well explained
Thanks, Tellurian! :D
Thank you so much for this! I am taking an online course and they just zoomed through the unit circle video and then expected me to be able to do so many problems based off of it. I was so lost, but this video just saved me from failing that lesson. Once again, thank you! :)
You're very welcome, Rebekah, I'm so glad it helped! :D
I was freaking out when I got to this lesson and In just a few minutes you explained it beautifully..I’ve watched so many videos but this one did it.. thank you so much...
You're welcome, Diane! I'm so glad this was helpful! :D
Thank you so much! Watching this video as I get dressed for school. I have pre-cal first period, and would have failed without this. I’ll update my score when it comes.❤️
I'm so glad the video helped, and I hope the test went great!! :D
Yes thank you I got a 100!
Thank you very much for your help
I was trying to understand this for a whole month
Thank you
You're very welcome, Saeed, I'm so glad the video helped! :D
This video was very well explained! Thank you
Thanks, Darnell! So glad it helped! :)
I didn't watch your whole video, but thanks a lot. You're great.. I love people like you.... you lead the learner to go out of his/her way to find the answer themselves, at least that's the case for me. Bless you :)
Thank you so much, I'm so glad you like my videos!
Krista King
Oh my god u have just saved me I have a test tomorrow and I definitely knew I was going to fail because I didn’t know anything about the unit circle your strategies that you used to graph the unit circle made it look so easy please keep doing what you are doing!
I'm so glad it helped! Good luck on the test, I hope it goes great! :D
Thanks for the video I have learned a lot from it n I will share it with my friends because this is the best one I have seen by far !
Awesome, thank you Rama! I'm so glad it was helpful! :)
Thank you. You made lot easier to understand!!
You're welcome, Tenzin, I'm so glad it helped! :D
Amazing... thank you. You are a great teacher!
Finally I understand!! Thank you so much!! 🧡
You're welcome, Day, I'm happy to be able to help! :D
I really love your video, I can understand now!!!! Thanks for explaining each part and put examples, I really appreciate... you explained pretty well, and now I can use it for my homework and test!!! God Bless You ♥
I'm so glad everything made sense, Andy! :D
Good stuff. Very informative video. Well done!
Thank you! :)
Absolutely beautiful!!! Thank you for this tutorial! Amazing how you fit all that neatly on the screen. Subscribed.
Thank you so much, I'm so glad you liked it! :D
@@kristakingmath yes ma'am ⭐⭐⭐⭐⭐
Methodical and intuitive every step of the way.
thank you so much you just saved my quiz. may God bless you
You're welcome, waelongo! I'm so glad it helped! :)
This is a wonderful way of remembering
Thank you so much for this. Very excellent explanation. But I think you interchanged 4π over 6 and 2π over six in part 10:19 of you video. I was confused and played it over and over again.
Let me rephrase that. I made a mistake as well. You said 4π/6 is equal to π/2. And 2π/6 is equal to 2π/3. That confused me a little bit because this is my first time learning this, but I think it's just slip of the tongue.
Thank you so much i don't have any background in trigonometry, but I easily understand the basics through your illustration. 💓
Very informative!!
this was soooo incredibly helpful!!!
Oh good, Olivia! I'm so glad it helped! :D