Small typo: 300 degrees=5ℿ/3

@brianmclogan

6 жыл бұрын

thanks for the catch! will pin

@HeyKevinYT

3 жыл бұрын

not pinned but still on top of all comments?!

@ivoryas1696

3 жыл бұрын

@@HeyKevinYT Technically, that's the point.

@johnbennett951

3 жыл бұрын

@JW astute observation sir!

@CS55CL16

2 жыл бұрын

2021 ap calc 😭

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.

@brianmclogan

5 жыл бұрын

you have a point

@fabulosobroham

4 жыл бұрын

Also they list it as one of the materials, you spend 100 dollars for no reason.

@hopelewis5612

4 жыл бұрын

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.

@levihuerta9393

4 жыл бұрын

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...

@westonding8953

4 жыл бұрын

There are paradoxes in society. I will respond further in this one.

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!

@brianmclogan

7 жыл бұрын

awesome, awesome, awesome!

@blinkbubs3994

4 жыл бұрын

@@puppetguy5 damn bro u must be hella sick

@ThunderAppeal

3 жыл бұрын

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?

@khair7549

3 жыл бұрын

@@ThunderAppeal jeez man wtf happened. Did someone shit in your cereal this morning? This was 3 years ago my G.

@nicholasdeguzman7144

2 жыл бұрын

@@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!

@brianmclogan

7 жыл бұрын

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

@Luup.ai123

Жыл бұрын

oh so this is where u use calculus

"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."

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

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

@brianmclogan

7 жыл бұрын

appreciate the commentary, I have included much of what you have mentioned in previous videos but love hearing it from a different perspective

@anka.asmr.

2 жыл бұрын

@Jacob Golembiewski how did u do? mine’s tomorrow

@kramchancel1266

2 жыл бұрын

BRO THANK YOU SO MUCH! Eye opening

@jennipherchanda6266

2 жыл бұрын

Thanks for the comment

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!

@AK-op4be

2 жыл бұрын

lmaoo, same. im memorizing it the night before the exam

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!

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!

for negative radians you can always add 2pi, 4pi, 6pi so on to make the value positive. I think it helps

Going back to University in a few months and haven’t done math in 3 years so this is a great refresher. 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*

Me: Wathces the whole video Also Me: Sneaks in a post it card with the unit circle

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!

@brianmclogan

2 жыл бұрын

🙌😍

I was never taught the unit circle, but I did learn it this way. I completely forgot how to do it, thank you!!

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 :)

@blinkbubs3994

4 жыл бұрын

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.

I've got a college trig test on Monday, No calculator, memorized unit circle. Doesn't matter if its BS.

I am currently in university. You are the man Mr. McLogan, finally found a teacher that loves their life and knows how to teach

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!

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.

@hopelewis5612

4 жыл бұрын

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.

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!

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.

@brianmclogan

7 жыл бұрын

you are very welcome and I appreciate your own little spin. Helpful to present to students in addition to what we do in class

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

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.

@brianmclogan

5 жыл бұрын

you are very welcome!

I am in my second year of college math, and I keep coming back to your videos! Thanks for the help!

@brianmclogan

7 жыл бұрын

happy to be able to help you out! let me know if there is anything else I can do for you

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.

@brianmclogan

6 жыл бұрын

you are very welcome! keep up the hard work

You're awesome. Thanks to Organic and you, I was able to pass my PreCalc class.

Wow thank you. Would have never even thought of it that way, thank you for the awesome perspective!!

@brianmclogan

6 жыл бұрын

happy to help!

2020 and my teachers still saying I have to memorize...we need more teachers like you :)

@ThunderAppeal

3 жыл бұрын

Its not that hard to memorize. What kind of an idiot are you?

@Cube_Box

3 жыл бұрын

@@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

Anyone here 2020? Exams coming up for me.

@claudiawwjd8198

3 жыл бұрын

Let’s cry together 😭

@BlastinRope

3 жыл бұрын

I came here to jack it and shoot ropes

@envella

3 жыл бұрын

Oh god yeah. I am NOT ready

@summernadish2741

3 жыл бұрын

here 2021

@jackthrowroad8643

3 жыл бұрын

Haha, mine are canceled

Thank you so much.. My teacher told me to memorize the unit circle... your explanation is SOO much clearly. Cheers!

@brianmclogan

7 жыл бұрын

awesome! cheers!

Thank you so much you are definitely the best math teacher on KZread

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.

5 years ago, you did a video how to memorize the unit circle. Lol. Thanks, though. I learned a lot!!

@brianmclogan

5 жыл бұрын

you are very welcome Ranjit!!

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?

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 KZread for extra understanding 😎🤟

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.

@brianmclogan

7 жыл бұрын

happy to help!

What would be the angle for the measurement between 150 degrees (or 5pi/2) and 210 degrees (7pi/6)?

Incredibly helpful, thank you!

Your videos are always so helpful, thanks so much

This video is still helping people. My textbook could not relay to me in weeks what you just did in 10 minutes

For the cos(-5pi/4) you can also use the property cos(-x)=cos(x) and get -sqrt(2))/2

THANK YOU wow that just made the Unit Circle 100 times easier to understand!!!!!!!

Absolutely awesome. Thank you for this video Mr. McLogan, learned a bunch!

@brianmclogan

6 жыл бұрын

happy to help

As I wait for ads to finish... PLEASE TEACH ME,THE WAYS!! Your great, thank you

How do you know which coordinate to use

thank you so much! After years, I finally understand the unit circle

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!

@brianmclogan

2 жыл бұрын

love that!

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

This was seriously helpful! Thank you so much!

how did you get tan pie/2... 8:22 why isnt there a reference angle

This really helped. I find your method of mentally visualizing the 'slices of Pi' to work well for me

@brianmclogan

6 жыл бұрын

awesome! happy to be able to help

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!

@brianmclogan

6 жыл бұрын

awesome! happy to help and serve you

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

subbed. i'm sure i'm gonna get quite familiar with your channel throughout my time in uni... keep it up man!

@brianmclogan

5 жыл бұрын

happy to be able to help you out and here for you

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.

@mbjnunez539

2 жыл бұрын

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

@TechySkills

9 ай бұрын

true@@mbjnunez539

@juliamahaffey8663

5 ай бұрын

@@mbjnunez539 my science teacher colleagues said it was "All Suckers Take Calculus". But all the faculty agreed "All Seniors Turn Crazy".

Thank you, this made the unit circle much easier

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 👍

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.

Excellent Video - great teacher, thank you!

Here you are again saving me in AP calc!

Omg I'm 15 and have a final exam in two days, you sir just saved my life

@brianmclogan

7 жыл бұрын

happy to help you out! best of luck

@brendan_s550

3 жыл бұрын

How did the rest of high school go?

@cyrxxrx-.-9547

3 жыл бұрын

@@brendan_s550 LOL

@anyxodious

3 жыл бұрын

@@brendan_s550 LMFAOO

@Dan3i

Жыл бұрын

@@cyrxxrx-.-9547 he dead

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?

@brianmclogan

6 жыл бұрын

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

This is so helpful, thank you.

Brian saving grades again.How's your little girl doing?

@brianmclogan

6 жыл бұрын

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

@atreyeesengupta3163

6 жыл бұрын

Bakwas

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.

@brianmclogan

2 жыл бұрын

I always teach starting with the right triangles

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 ❤️❤️

@brianmclogan

3 жыл бұрын

congrats!! keep it up, one day I will work on more advanced math

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.

Very nicely done. Thank you.

I need help with intervals....

This actually made Trig 10x easier for me! Thanks a bunch for this vid

@brianmclogan

5 жыл бұрын

you are very welcome!!

Thanks for the explanation. I'll just have to memorize the first quadrant, like you said.

Thank you very much for your vid. I learned alot :D

Respect do this man making the video while on a break

@brianmclogan

5 жыл бұрын

happens

I have an exam tommrow and I am probably going to fail but I am still trying to see if I can pull at least a 65.

That's really helpful, thank you!

Thank you so so much for this video it was incredibly helpful for my understanding.!!!!Now i know a new handy trick :) :)

@brianmclogan

6 жыл бұрын

happy to help

Sometimes I feel bad that half of my math tutoring is just watching your videos then teaching what you said to someone else. But they all do well... so...

Very helpful thanks

As soon as I start leaning about the unit circle I get this in my recommended

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??

What does the sin, cos and tan mean in front? Do you do these questions differently depending on the prefix?

@brianmclogan

6 жыл бұрын

absolutely, those are functions, functions of angles so knowing what function and angle makes all the difference, I have more introductory videos that might be more helpful before you start trying to understand the unit circle

If I pass my math 3 it’s cause of u 🥰 all credits to u !

really helped me get through my trig, i have ap calc as first period so i wouldve gotten whooped without this video

I hope this video comes up as a (recommended for you) to my teacher while she browsing through youtube then she'll subscribe and ring the bell and make my life great again

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)

thank you sooo much!! you just saved so much of my time !!!

@brianmclogan

7 жыл бұрын

happy to help!

Sir, you are a genius!

thank you big dawg you helped

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.

Thanks for saying it I never memorizing the unit circle

Thanks! enjoyed your insight.

@brianmclogan

5 жыл бұрын

You are very welcome Danny

Had trouble in precal but I got it now. However, can you go over the detail as to why? as said by others in the comment section below. Thanks

@brianmclogan

6 жыл бұрын

why what? why my method works? or why use my method? Not sure

15pi/6 still doesn't make sense or for other problems with a similar issue of not being on the circle.

Thank you so much! This has really helped me

@brianmclogan

7 жыл бұрын

you are very welcome!

dude ur a genius thnx really helps

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