Wow, here I was spending the last hour and a half trying to memorize unit circle, not realizing whatever you Explained is the same thing the textbook was trying to explain. Thank you! It finally makes sense!
Just got into trig and everyone I know is telling me to just memorize it, and I knew there was a better way; because I've learned that in math you have to understand where the formulas and things come from or you will be lost later on. You are the only explanation I have seen ANYWHERE online that tells how to do this so I really can't thank you enough. It took me a couple of playthroughs but I know this thing completely now and can solve problems my friends have no clue how to start. Thank you, keep them comming!
Currently, I am taking Precalculus that is crazy for 6 weeks a semester, and all I want to say that your lecture is the biggest help for me. You are the best best best teacher. Thank you, Brian
I don’t get why can’t we just use a calculator. It was created to be used so let us use it. No one will ever have a job and not be allowed to use a calc. gosh.
I don't understand why this is integral to my Psychology degree either, but Trig is the only class I've been scared of and for good reason. Final semester with a teacher who has a great heart but zero in the way of teaching materials.
Sushiirull That doesn’t go for everyone. There is an immense degree of applications that go with math when you, as an example, are an engineer, physicist, and especially a mathematician...
It may also help to understand that all of the angles on the unit circle are multiples of 30° or 45°, because we use isosceles right triangle (45°,45°,90°) and the (30°,60°,90°) right triangle as a reference within the circle to derive our cos&sin values from the lengths of the triangle sides. [1, 1, 2^1/2] and [1, 3^1/2, 2] radians can seem confusing because of π . However you can use one angle to build all of the others π=180° you can look at 90° as being 1/2 of 180° therefore (1/2)π or π/2. And 45° as 1/2 of 90° and therefore (1/2)(1/2)π or (1/4)π or π/4 this works with all of the angles. 30° is (1/3) of 90° so (1/2)(1/3)π which is (1/6)π or π/6 Once you have your angles down, you can reference your two triangles and use your knowledge of the trig functions to determine your sin/cos values. However there are only 3 sets of values to remember in each quadrant, and ultimately the quadrant determines their signs. Otherwise you have the 1,0 0,1 -1,0 or 0,-1, which lie on the axises
Had to use my notes (completely drawn unit circle) for my whole calculus class so far, now I don't have to- this made SO much sense. I saw the patterns, this put them into a logical format, thank you!
Honestly, this whole circle thing never made any sense to me, until now. Brian so far I've used your videos to help me pass 3 separate college level math classes, BRAVO! you're a gem
We spent what felt like a week on the unit circle and I had no clue what to do, until you my savor taught it to me in 10 minutes the day before my exam, so thank you!
thank you so much. it’s honestly amazing how unintuitive some companies can make trig when it’s really incredibly intuitive. Shout out to Pearson for ruining math and thank you to great teachers like this for making it crystal clear!
Much simpler than memorizing the whole circle. However I always get a small sense of accomplishment when I complete it for tests. To each his own. Thank you for all of your amazing content, I'm getting an A in precalc because of your videos!
I used this method and now know how to draw the entire thing without memorization. There's a pattern that you don't even have to memorize. It's simple math. I spent less than an hour on this and can draw a full one perfectly in like 3 minutes or so. Thank you so much Mr. Logan!
Thank you! I am studying to be a teacher of physics, yet I've had problems with memorizing the unit circle since the dawn of my trigonometry knowledge. Now I do not have to fear it anymore. Maybe I'll teach this way to my students one day :)
theres another way to know angles and im surprised i dont see much about it. heres an easy example: where is the angle pi/2? multiply the fraction by a number so that the denominator equals 12. so times 6 on both sides, you get 6pi/12. this is the 6th piece. each quadrant of the unit circle has 6 " pizza slices", the 3 angles we are always told (pi/6, pi/3, pi/4). for example, the half angle between pi/2 and pi/3 and the other half angle between pi/6 and 0. so this means 2 quadrants has 12 slices. if you count each piece depending on the coefficient of the pi after youve gotten the denominator equal to 12, thats the number of slices so, 6pi/12 is the 6th slice, and we know thats pi/2. another example is 2pi/3. multiply both sides by 4. 8pi/12. 8th piece. 2 pieces after pi/2 (aka 6pi/12), and know we know where it is. idk, hope this was helpful. i was bored.
You can also use the mnemonic ' All Silver Tea Cups' ( first quadrant : all ratios are Positive. 2nd Quadrant: Only Sin ratios are positive. Third quadrant: only tan ratios are positive and 4th Quadrant: all cosign ratios are positive.
I cannot thank you enough for simplifying this lesson. If people only knew how much time they'd save learning this technique because it is utilised in Physics and Engineering at all levels. My own little spin on this was to cut out a circle and keep folding in half four times....then you have the exactly 16 segments.....you can fill in the whole thing based on the first quadrant...Thanks once again.
If your struggling with the angles at all, everything in the first quadrant is just pi over 6, 4, or 3. For their equivalent angles in the second quadrant, subtract one from the denominator and put it in front of pi In quadrant 3, do the same thing but add 1 to the denominator In 4, double the denominator and subtract one from that.
By "do the same thing but add 1 to the denominator," do you mean subtract one from pi and add it to the denominator, or add one to pi and also add one to the denominator? Thank you.
this helped a TINY bit, i dont know how im going to pass this year but putting those positive vibes that I will and so will everyone else here *fingers crossed manifesting*
Same, I'm taking Pre Calc Algebra and Pre Calc Trig in college this semester and felt like I was drowning until I found his page. These 2 classes are all that stand between me and my degree.
I am doing my second bachelors in comp engineering at 24 i first did IT and web development and have been doing web dev informally since highschool, however i did shy away always from the math. now that i figured out i truly want to work with electronics and software i like to code but also like hardware and circuits i have to get through this math. Im currently taking precal i have a B so im only struggling a little bit out of all the online teachers or videos ive found i ve understood yours the best. so a sincere thank you sir. Do you possibly have a place where you have more dedicated videos over topics?
What helps me is imagining the unit circle on the (x,y) coordinate plane and since r=1 you don’t even have to bother remembering 0/360, 90, 180, 270. Just sin, cos, and tan for 30, 45, 60 which is easy 1,2,3 3,2,1 and 33, 1, 3. Then remember All students take calculus and soh cah toa and your set. Sin Cos Tan 30 1/2 3/2 3/3 45 2/2 2/2 1 60 3/2 1/2 3 (square root all denominators)
I am an Arab girl who learns mathematics from your English language channel in order to do all her exams in Arabic .. this is complicated .. but the professor’s explanation is wonderful
My calculus teacher taught us to count to 4 from 0 (0, 1, 2, 3, 4), then square root everything (/0, /1, /2, /3, /4), then divide by 2. Start at (0, 1) and work clockwise to (1, 0) for the x value, and the opposite direction for the y value
@@ThunderAppeal Actually, what kind of an "idiot" ARE you to memorize some crap which is easily calculated, lmfao that's why people like you live shorter dummy
I feel sad learning about trig and calculus in college when I could have done it in high school as an AP course or at least have more background knowledge on the subjects if I took it then. ):
I aced my math placement for university by having my cheat sheet be more properties and the principles behind the unit circle. I showed my cheat sheet to my peers at the exam and they were confused and said "Where's your unit circle?" Thank goodness for my pre-cal teacher who told us memorizing this was bupkis I feel like teaching students to memorize rather than understand is doing them a disservice Good video teach 👍
honestly, don't even memorize the first quadrant. Just envision the 30, 45, and 60 triangles in your head, specifically the length of the sides and hypotenuse, then just find the ratios between the sides of the triangle you need for your trig function. Now, the only thing you need to memorize are these 3 triangles, which is more like 2 because the 30 and 60 triangles are the same but flipped. It may be a bit more work than memorizing the first quadrant, but I find it even more logical and intuitive, which i think helps.
I've always had the degrees and position values memorized completely. Then I just convert the degree to radian as needed. * Or realize that you can memorize the first quadrant and add pi/2 to each radian value for every 90 degrees.
This is great. It took me 7/8th of the semester to realize that this is all on an XY coordinate system, and instead of memorizing in which quadrant sine, cosine, and tangent are positive or negative, just realize that cosine "runs along" the x-axis, and sine "runs along" the y-axis. Then sign is intuitive.
my professor tells us not to memorize any quadrant of the unit circle. If you know 30-60-90 triangles and 45-45-90 triangles by heart you can work out anything on the unit circle with some basic trig. To be honest its a little confusing as its been a few weeks since i used those special triangles but im doing some practice and its not a bad method. Even though I was told to memorize the unit circle back in highschool (4.years ago ... ), I noticed the pattern and only memorized the first quadrant. I'm not sure which method i prefer. Honestly i feel that if you start out with my professor's method you will gain a stronger conceptual understanding ... but also it takes a lot longer to work out problems.
I memorized the first quadrant then 5-7-11, 3-5-7, and 2-4-5 because if you subtract 1 from the number in the denominator it will lead to the one of the series of numbers. For example, ℿ/6 6-1 = 5 then that means it's part of the 5-7-11 series and it corresponds to that quadrant. ℿ/6 - Q1 5ℿ/6 - Q2 7ℿ/6 - Q3 11ℿ/6 - Q4
Brian Mclogan and The Organic Chemistry helped me to have B and A's on my exams i really hope you can help me further more in my Engineering journey ❤️❤️
For me, remembering the unit circle is only effective, when working with the quadrantal angles (0, (pi/2), pi, (3*pi/2), 2*pi, etc.). Otherwise, remembering what angles are reference angles to angles in the first quadrant (how many degrees away from the x-axis the angle is), the special triangles (45-45-90, 30-60-90) (for the trig values of (pi/6), (pi/4), and (pi/3)), and knowing the signs of the trig functions in each quadrant ("All (QI: All trig functions are positive) Students (QII: Only sin and csc are positive) Take (OIII: Only tan and cot are positive) Calculus (QIV: Only cos and sec are positive)."), gets you to the correct answer more intuitively, from my personal experiences.
I was a math teacher in Russian school (you call it high school) and that method was used by our teachers, with slight changes. But to memorize the whole unit circle, just memorize without understanding does not make any sense.
Wow, the fact that after watching this for 3 minutes and immediately being able to do any problem after forgetting everything about the unit circle from trig is amazing!
I agree, my pre cal teacher had us all get Ti 84 plus CE’s, we used them for 2 lessons on exponentials. Good thing I need it for work or else I would’ve wasted a bunch of money
In many cases (as I've seen in many students) they couldn't care less. Doesn't matter the topic. I know when I was in high school trig, we didn't learn the unit circle (jus the special triangles). Now teaching 20 years later, I found an even easier way to remember (not memorize) the first quadrant. Just need to know how to count forward and backwards from 0 or 4.
another way to do it without memorizing any of this is to know that 360 degrees = 2pi and know the sides of a 45-45-90 and 60-30-90 triangle and just apply that where needed. Also know that the radius of the circle is ALWAYS 1.
yes that is basically what I am expecting you to know, the method of using the reference angles still uses the special right triangles but is helpful for negative angles and angles over 2pi
Hello Professor McLogan! Thank you so much for this video! I now fully understand the unit circle concept after absorbing the information you have provided me with!
that is for points that are larger than one revolution of the unit circle, by adding or subtracting 2pi your goal is to reduce the angle size to under one revolution of the unit circle
Omg thank you for this video trigonometry is annoying when I have to learn the unit circle but this simplified it to a point where I understand it thoroughly
Many students I work with - one question on the test on this is to write all the angles on the unit circle. I still teach them to know the first Q, use it and reference to get the angles everywhere else. But it's a ridiculous question.
Thanks Mr. McLogan! I've been struggling to understand this concept, but now with your video I have a much better understanding! Thanks once again! Will be looking forward to watching more videos from you!
I do understand that going from start to half the opposite way is (pi) but I still don't understand how you are saying that adding another pi will make it -5pi/4 if you are pointing at 5pi/6??
There is no way in hell I am turning my speakers up loud enough to hear this video. I have made that mistake before and paid dearly for it. Never again.
I'm in AP calc and I never took trig so im trying to cram all this new info (which should be review) in a week :( But ur vids are so helpful and I'm in much better shape than before. Thanks!!
![CHILE vs. BRASIL [1-2] | RESUMEN | ELIMINATORIAS SUDAMERICANAS | FECHA 9](http://i.ytimg.com/vi/5ObJt_71AYc/mqdefault.jpg)
Small typo: 300 degrees=5ℿ/3
thanks for the catch! will pin
not pinned but still on top of all comments?!
@@HeyKevinYT
Technically, that's the point.
@JW astute observation sir!
2021 ap calc 😭
Wow, here I was spending the last hour and a half trying to memorize unit circle, not realizing whatever you Explained is the same thing the textbook was trying to explain. Thank you! It finally makes sense!
awesome, awesome, awesome!
@@puppetguy5 damn bro u must be hella sick
What kind of lazy idiot are you that you only spent a half hour?
What the fuck else did you have to do? Go play video games?
@@ThunderAppeal jeez man wtf happened. Did someone shit in your cereal this morning? This was 3 years ago my G.
@@ThunderAppeal He actually spent an hour and a half not half an hour, so you might be the lazy idiot.
Just got into trig and everyone I know is telling me to just memorize it, and I knew there was a better way; because I've learned that in math you have to understand where the formulas and things come from or you will be lost later on. You are the only explanation I have seen ANYWHERE online that tells how to do this so I really can't thank you enough. It took me a couple of playthroughs but I know this thing completely now and can solve problems my friends have no clue how to start. Thank you, keep them comming!
So happy it helped. Keep up the hard work, and it is okay to tell your friends, they will appreciate you making their life easier : )
Currently, I am taking Precalculus that is crazy for 6 weeks a semester, and all I want to say that your lecture is the biggest help for me. You are the best best best teacher. Thank you, Brian
oh so this is where u use calculus
I don’t get why can’t we just use a calculator. It was created to be used so let us use it. No one will ever have a job and not be allowed to use a calc. gosh.
you have a point
Also they list it as one of the materials, you spend 100 dollars for no reason.
I don't understand why this is integral to my Psychology degree either, but Trig is the only class I've been scared of and for good reason. Final semester with a teacher who has a great heart but zero in the way of teaching materials.
Sushiirull That doesn’t go for everyone. There is an immense degree of applications that go with math when you, as an example, are an engineer, physicist, and especially a mathematician...
There are paradoxes in society. I will respond further in this one.
It may also help to understand that all of the angles on the unit circle are multiples of 30° or 45°, because we use isosceles right triangle (45°,45°,90°) and the (30°,60°,90°) right triangle as a reference within the circle to derive our cos&sin values from the lengths of the triangle sides. [1, 1, 2^1/2] and [1, 3^1/2, 2]
radians can seem confusing because of π . However you can use one angle to build all of the others π=180° you can look at 90° as being 1/2 of 180° therefore (1/2)π or π/2. And 45° as 1/2 of 90° and therefore (1/2)(1/2)π or (1/4)π or π/4 this works with all of the angles. 30° is (1/3) of 90° so (1/2)(1/3)π which is (1/6)π or π/6
Once you have your angles down, you can reference your two triangles and use your knowledge of the trig functions to determine your sin/cos values. However there are only 3 sets of values to remember in each quadrant, and ultimately the quadrant determines their signs. Otherwise you have the 1,0 0,1 -1,0 or 0,-1, which lie on the axises
appreciate the commentary, I have included much of what you have mentioned in previous videos but love hearing it from a different perspective
@Jacob Golembiewski how did u do? mine’s tomorrow
BRO THANK YOU SO MUCH! Eye opening
Thanks for the comment
Had to use my notes (completely drawn unit circle) for my whole calculus class so far, now I don't have to- this made SO much sense. I saw the patterns, this put them into a logical format, thank you!
Honestly, this whole circle thing never made any sense to me, until now. Brian so far I've used your videos to help me pass 3 separate college level math classes, BRAVO! you're a gem
We spent what felt like a week on the unit circle and I had no clue what to do, until you my savor taught it to me in 10 minutes the day before my exam, so thank you!
lmaoo, same. im memorizing it the night before the exam
for negative radians you can always add 2pi, 4pi, 6pi so on to make the value positive. I think it helps
thank you so much. it’s honestly amazing how unintuitive some companies can make trig when it’s really incredibly intuitive.
Shout out to Pearson for ruining math and thank you to great teachers like this for making it crystal clear!
🙌😍
Much simpler than memorizing the whole circle. However I always get a small sense of accomplishment when I complete it for tests. To each his own. Thank you for all of your amazing content, I'm getting an A in precalc because of your videos!
I used this method and now know how to draw the entire thing without memorization. There's a pattern that you don't even have to memorize. It's simple math. I spent less than an hour on this and can draw a full one perfectly in like 3 minutes or so. Thank you so much Mr. Logan!
"I just don't understand, math is so hard. Can you help me with my homework?"
Kid Brian: "No, Dad I have to get on the bus."
Thank you! I am studying to be a teacher of physics, yet I've had problems with memorizing the unit circle since the dawn of my trigonometry knowledge. Now I do not have to fear it anymore. Maybe I'll teach this way to my students one day :)
theres another way to know angles and im surprised i dont see much about it.
heres an easy example: where is the angle pi/2? multiply the fraction by a number so that the denominator equals 12. so times 6 on both sides, you get 6pi/12. this is the 6th piece. each quadrant of the unit circle has 6 " pizza slices", the 3 angles we are always told (pi/6, pi/3, pi/4). for example, the half angle between pi/2 and pi/3 and the other half angle between pi/6 and 0. so this means 2 quadrants has 12 slices. if you count each piece depending on the coefficient of the pi after youve gotten the denominator equal to 12, thats the number of slices so, 6pi/12 is the 6th slice, and we know thats pi/2.
another example is 2pi/3. multiply both sides by 4. 8pi/12. 8th piece. 2 pieces after pi/2 (aka 6pi/12), and know we know where it is.
idk, hope this was helpful. i was bored.
You can also use the mnemonic ' All Silver Tea Cups' ( first quadrant : all ratios are Positive. 2nd Quadrant: Only Sin ratios are positive. Third quadrant: only tan ratios are positive and 4th Quadrant: all cosign ratios are positive.
thats a new one i haven't heard that, i use all students take calculus cause I think it's more relevant to what all of us are struggling with lol
true@@mbjnunez539
@@mbjnunez539 my science teacher colleagues said it was "All Suckers Take Calculus". But all the faculty agreed "All Seniors Turn Crazy".
Going back to University in a few months and haven’t done math in 3 years so this is a great refresher. Thank you!
I cannot thank you enough for simplifying this lesson. If people only knew how much time they'd save learning this technique because it is utilised in Physics and Engineering at all levels. My own little spin on this was to cut out a circle and keep folding in half four times....then you have the exactly 16 segments.....you can fill in the whole thing based on the first quadrant...Thanks once again.
you are very welcome and I appreciate your own little spin. Helpful to present to students in addition to what we do in class
If your struggling with the angles at all, everything in the first quadrant is just pi over 6, 4, or 3.
For their equivalent angles in the second quadrant, subtract one from the denominator and put it in front of pi
In quadrant 3, do the same thing but add 1 to the denominator
In 4, double the denominator and subtract one from that.
By "do the same thing but add 1 to the denominator," do you mean subtract one from pi and add it to the denominator, or add one to pi and also add one to the denominator? Thank you.
I've got a college trig test on Monday, No calculator, memorized unit circle. Doesn't matter if its BS.
this helped a TINY bit, i dont know how im going to pass this year but putting those positive vibes that I will and so will everyone else here *fingers crossed manifesting*
You helped me in pre-calc algebra and still coming through for pre-calc trig. I'm so happy you exist, I'm not crying you're crying.
Same, I'm taking Pre Calc Algebra and Pre Calc Trig in college this semester and felt like I was drowning until I found his page. These 2 classes are all that stand between me and my degree.
Me: Wathces the whole video
Also Me: Sneaks in a post it card with the unit circle
I am doing my second bachelors in comp engineering at 24 i first did IT and web development and have been doing web dev informally since highschool, however i did shy away always from the math. now that i figured out i truly want to work with electronics and software i like to code but also like hardware and circuits i have to get through this math. Im currently taking precal i have a B so im only struggling a little bit out of all the online teachers or videos ive found i ve understood yours the best. so a sincere thank you sir. Do you possibly have a place where you have more dedicated videos over topics?
What helps me is imagining the unit circle on the (x,y) coordinate plane and since r=1 you don’t even have to bother remembering 0/360, 90, 180, 270. Just sin, cos, and tan for 30, 45, 60 which is easy 1,2,3 3,2,1 and 33, 1, 3. Then remember All students take calculus and soh cah toa and your set.
Sin Cos Tan
30 1/2 3/2 3/3
45 2/2 2/2 1
60 3/2 1/2 3 (square root all denominators)
I am an Arab girl who learns mathematics from your English language channel in order to do all her exams in Arabic .. this is complicated .. but the professor’s explanation is wonderful
Wow thank you. Would have never even thought of it that way, thank you for the awesome perspective!!
happy to help!
My calculus teacher taught us to count to 4 from 0 (0, 1, 2, 3, 4), then square root everything (/0, /1, /2, /3, /4), then divide by 2. Start at (0, 1) and work clockwise to (1, 0) for the x value, and the opposite direction for the y value
Anyone here 2020? Exams coming up for me.
Let’s cry together 😭
I came here to jack it and shoot ropes
Oh god yeah. I am NOT ready
here 2021
Haha, mine are canceled
2020 and my teachers still saying I have to memorize...we need more teachers like you :)
Its not that hard to memorize.
What kind of an idiot are you?
@@ThunderAppeal Actually, what kind of an "idiot" ARE you to memorize some crap which is easily calculated, lmfao that's why people like you live shorter dummy
I feel sad learning about trig and calculus in college when I could have done it in high school as an AP course or at least have more background knowledge on the subjects if I took it then. ):
Yeah we all take our own path, I teach calculus now in high school but didn't take it till college
Gotta start somewhere. Wow, just noticed this is 2 years old. At least you probably know the unit circle now!
I aced my math placement for university by having my cheat sheet be more properties and the principles behind the unit circle. I showed my cheat sheet to my peers at the exam and they were confused and said "Where's your unit circle?"
Thank goodness for my pre-cal teacher who told us memorizing this was bupkis
I feel like teaching students to memorize rather than understand is doing them a disservice
Good video teach 👍
You're awesome. Thanks to Organic and you, I was able to pass my PreCalc class.
Thanks a lot! I found it easy to understand - you saved me from those random sin/cos/tan/etc.. questions that are gonna pop up on quizzes.
you are very welcome!
I am currently in university. You are the man Mr. McLogan, finally found a teacher that loves their life and knows how to teach
Great video, thanks for the help!
Volume is pretty low, try clipping the mic higher on your collar. :)
thanks, always adjusting
honestly, don't even memorize the first quadrant. Just envision the 30, 45, and 60 triangles in your head, specifically the length of the sides and hypotenuse, then just find the ratios between the sides of the triangle you need for your trig function. Now, the only thing you need to memorize are these 3 triangles, which is more like 2 because the 30 and 60 triangles are the same but flipped. It may be a bit more work than memorizing the first quadrant, but I find it even more logical and intuitive, which i think helps.
I always teach starting with the right triangles
I've always had the degrees and position values memorized completely. Then I just convert the degree to radian as needed.
* Or realize that you can memorize the first quadrant and add pi/2 to each radian value for every 90 degrees.
Omg I'm 15 and have a final exam in two days, you sir just saved my life
happy to help you out! best of luck
How did the rest of high school go?
@@brendan_s550 LOL
@@brendan_s550 LMFAOO
@@cyrxxrx-.-9547 he dead
I was never taught the unit circle, but I did learn it this way. I completely forgot how to do it, thank you!!
This is great. It took me 7/8th of the semester to realize that this is all on an XY coordinate system, and instead of memorizing in which quadrant sine, cosine, and tangent are positive or negative, just realize that cosine "runs along" the x-axis, and sine "runs along" the y-axis. Then sign is intuitive.
my professor tells us not to memorize any quadrant of the unit circle. If you know 30-60-90 triangles and 45-45-90 triangles by heart you can work out anything on the unit circle with some basic trig. To be honest its a little confusing as its been a few weeks since i used those special triangles but im doing some practice and its not a bad method. Even though I was told to memorize the unit circle back in highschool (4.years ago ... ), I noticed the pattern and only memorized the first quadrant. I'm not sure which method i prefer. Honestly i feel that if you start out with my professor's method you will gain a stronger conceptual understanding ... but also it takes a lot longer to work out problems.
mygoodness, ive spent over 4 hours (of course having breaks) trying to master this lesson with my tiny brains and now i got it ... thanks, Sir!
For the cos(-5pi/4) you can also use the property cos(-x)=cos(x) and get -sqrt(2))/2
The unit circle is important as when the angle from the +ve x axis is theta the coordinates are (cos(theta)), sin(theta))
correct
Thanks so much for this, makes a ton of sense, my teacher is MIA in my online trig class so I'm having to scour RUclips for extra understanding 😎🤟
Thank you so much you are definitely the best math teacher on RUclips
Im now in Precalc and I had alot of trouble with radians and trig and whatnot, but your video was a real help. Thank You so much for making this.
you are very welcome! keep up the hard work
5 years ago, you did a video how to memorize the unit circle. Lol. Thanks, though. I learned a lot!!
you are very welcome Ranjit!!
I memorized the first quadrant then 5-7-11, 3-5-7, and 2-4-5 because if you subtract 1 from the number in the denominator it will lead to the one of the series of numbers. For example, ℿ/6 6-1 = 5 then that means it's part of the 5-7-11 series and it corresponds to that quadrant. ℿ/6 - Q1 5ℿ/6 - Q2 7ℿ/6 - Q3 11ℿ/6 - Q4
yes that is a great memorization tool for the first quadrant, thanks for sharing Bryan
Brian Mclogan and The Organic Chemistry helped me to have B and A's on my exams i really hope you can help me further more in my Engineering journey ❤️❤️
congrats!! keep it up, one day I will work on more advanced math
As I wait for ads to finish... PLEASE TEACH ME,THE WAYS!! Your great, thank you
Brian saving grades again.How's your little girl doing?
Little one is doing great, keep us up at all hours of the night, not looking forward to having to teach sleep deprived but I will live
Bakwas
For me, remembering the unit circle is only effective, when working with the quadrantal angles (0, (pi/2), pi, (3*pi/2), 2*pi, etc.). Otherwise, remembering what angles are reference angles to angles in the first quadrant (how many degrees away from the x-axis the angle is), the special triangles (45-45-90, 30-60-90) (for the trig values of (pi/6), (pi/4), and (pi/3)), and knowing the signs of the trig functions in each quadrant ("All (QI: All trig functions are positive) Students (QII: Only sin and csc are positive) Take (OIII: Only tan and cot are positive) Calculus (QIV: Only cos and sec are positive)."), gets you to the correct answer more intuitively, from my personal experiences.
I am not sure if you watched my video or did not understand my message but that is exactly what I was trying to portray in the video, 100% agree
I was a math teacher in Russian school (you call it high school) and that method was used by our teachers, with slight changes.
But to memorize the whole unit circle, just memorize without understanding does not make any sense.
Incredibly helpful, thank you!
Wow, the fact that after watching this for 3 minutes and immediately being able to do any problem after forgetting everything about the unit circle from trig is amazing!
love that!
THANK YOU wow that just made the Unit Circle 100 times easier to understand!!!!!!!
I don't really even think you need to memorize the first quadrant. Just two right triangles is all you need to memorize. 30-60-90 and 45-45-90.
I agree, my pre cal teacher had us all get Ti 84 plus CE’s, we used them for 2 lessons on exponentials. Good thing I need it for work or else I would’ve wasted a bunch of money
The defrees you follow the rule +30,+15,+15,+30 per quadrant.
I remembered how to do it by doing 5 steps and got 100 on my test ^^
This really helped. I find your method of mentally visualizing the 'slices of Pi' to work well for me
awesome! happy to be able to help
Thank you, this made the unit circle much easier
Your videos are always so helpful, thanks so much
In many cases (as I've seen in many students) they couldn't care less. Doesn't matter the topic.
I know when I was in high school trig, we didn't learn the unit circle (jus the special triangles). Now teaching 20 years later, I found an even easier way to remember (not memorize) the first quadrant. Just need to know how to count forward and backwards from 0 or 4.
This video is still helping people. My textbook could not relay to me in weeks what you just did in 10 minutes
another way to do it without memorizing any of this is to know that 360 degrees = 2pi and know the sides of a 45-45-90 and 60-30-90 triangle and just apply that where needed. Also know that the radius of the circle is ALWAYS 1.
yes that is basically what I am expecting you to know, the method of using the reference angles still uses the special right triangles but is helpful for negative angles and angles over 2pi
Thank you so much for the explanation! Although I've heard people say that you shouldn't remember the unit circle, they had never explained why.
happy to help!
subbed. i'm sure i'm gonna get quite familiar with your channel throughout my time in uni... keep it up man!
happy to be able to help you out and here for you
I am in my second year of college math, and I keep coming back to your videos! Thanks for the help!
happy to be able to help you out! let me know if there is anything else I can do for you
Q1) when will I use this?
Q2) why not just use a calc?
Q3) where did you even get pi from?
Q4) why.
1) in trig unit
2) calc is not always allowed
3) it's radians, and the circumference of it is 2*pi*r
4) cuz math/precalc
Hello Professor McLogan! Thank you so much for this video! I now fully understand the unit circle concept after absorbing the information you have provided me with!
Here you are again saving me in AP calc!
thanks that was clear up to the point when you dealt with tan, found that a bit confusing....why is it adding or subtracting 2pi?
that is for points that are larger than one revolution of the unit circle, by adding or subtracting 2pi your goal is to reduce the angle size to under one revolution of the unit circle
Very helpful thanks
Respect do this man making the video while on a break
happens
If I pass my math 3 it’s cause of u 🥰 all credits to u !
Thank you so much.. My teacher told me to memorize the unit circle... your explanation is SOO much clearly. Cheers!
awesome! cheers!
Omg thank you for this video trigonometry is annoying when I have to learn the unit circle but this simplified it to a point where I understand it thoroughly
Many students I work with - one question on the test on this is to write all the angles on the unit circle. I still teach them to know the first Q, use it and reference to get the angles everywhere else. But it's a ridiculous question.
Thanks Mr. McLogan! I've been struggling to understand this concept, but now with your video I have a much better understanding! Thanks once again! Will be looking forward to watching more videos from you!
awesome! happy to help and serve you
This just saved my grade thank you !
you are very welcome! happy to help you out!
This is so helpful, thank you.
This helped my son do the trigonometry trick.
UNDERRATED METHOD
Yes!!
This actually made Trig 10x easier for me! Thanks a bunch for this vid
you are very welcome!!
That's really helpful, thank you!
I do understand that going from start to half the opposite way is (pi) but I still don't understand how you are saying that adding another pi will make it -5pi/4 if you are pointing at 5pi/6??
There is no way in hell I am turning my speakers up loud enough to hear this video. I have made that mistake before and paid dearly for it. Never again.
Thanks for saying it I never memorizing the unit circle
I'm in AP calc and I never took trig so im trying to cram all this new info (which should be review) in a week :(
But ur vids are so helpful and I'm in much better shape than before.
Thanks!!
awesome! I am teaching Ap calc this year, and have a lot of students struggling with trig. Not a problem, nothing practice and effort cannot overcome
Rocky K SAME
Very nicely done. Thank you.
hello I was kind of understanding a little bit but I am still confused on where you got the 4pi/4 is it because you are rotating clockwise?
بيض الله وجهك انشهد انك الوحيد اللي يفك الزنقه
سررت بالمساعدة
I'm doing college calculus and this guy made me feel like I'm in kindergarten. But at least I finally get it.
Same, occaisonally my teacher brings shit up in a similar vein to this while lamenting "cmon, you should have learned this in third grade"
Thanks for the explanation. I'll just have to memorize the first quadrant, like you said.
This was seriously helpful! Thank you so much!
What a great teacher, your students are lucky
happy to be able to help!!
really helped me get through my trig, i have ap calc as first period so i wouldve gotten whooped without this video
Technically you only need the first 45 degrees memorised due to the symmetry of sin and cos about 45deg
Yep