Reference Angle for an Angle, Ex 2 (Using Radians)

[@kale3007]

omg a few seconds from you and it just clicked in my mind, a few seconds from my prof and I'm already giving up, thank you for this!

[@laela6289]

I'm even more confused than when I started.

[@Ahnyalav]

This was so nicely explained! I'm so glad I came across this channel ^_^ Thank you so much!

[@MrLegendary0ne]

You are the reason for my B in College Algebra last semester. Now in Trig you helping me out. Amazing work

[@quickandeasytutorials411]

If you don't like dealing with radians in these kinds of problems it is easy to convert to degrees then going from there, if your answer needs to be in radians then convert back at the end.

[@raviedavieu]

My module for this lesson never seemed to clearly explain how to figure out which quadrant a radian is in, so thank you for this video! ^_^

[@kaasshko]

your videos explain so much that she doesn't even mention. You saved me lol I have a test over all this tomorrow

[@heroicsociopath2143]

Dude! You saved my butt on my math homework! Thanks!

[@Smurphyluv227]

This helped me so much!!! This kind of thing was really stumping me! I can't thank you enough!

[@kiddebo]

dude thankyou sooooooooooooooooooooooooooooooooo much, my exam in AFM is next Tuesday and i didnt understand this at all, and now i do.

[@Dcoolguy12]

Bruh you really helped me with my unit test, thank you

[@Allthingssheng]

I love you from the moon back!! Thanks Patrick!

[@pyronic120120]

Omg thank you so much. the videos on my eBook website sucked at explaining this. now i get it thank you!

[@Lucerozeus]

Thanks patrick... You always answer the what if questions

[@scaredyghosts]

Wow. It's so helpful! Thank you so much. Because of that, I SUBSCRIBED.

[@peachesandcream414]

great video! My teachers nor friends were able to explain this as clearly and easily as you did! thank you

[@lavenderlemons888]

An easy way to figure out where it lies is to divide up pi (so each 180 degrees)up into sections by the denominator, and then "move" the number of sections required for example: if its 3pi/4, divide the top and bottom part of the graph into 4 sections each (8 sections total) and then move 3 sections. Saves the guess work. If it was 11pi/4, you would move 11 sections around the graph

[@DeeneDucky2]

OMG! I LOVE YOU!!!! I have a PRE-CAL final tomorrow at my college and OMG!!!! YOU HELPED ME SOO MUCH!!!!!! :D :D :D :) :) :) :) I TOtally GET IT! :D :D :D YOU're AMAZING

[@rachelh5507]

You just saved my life for my finals!!

[@houseofmcdonald]

Thanks so much for simplifying as a mixed number. you are my hero

[@ronlohse1006]

Patrick, Nice work. However, I show my students that for an angle given in radians in the form m*pi/n, that the reference angle is merely pi/n. They still have to decide what quadrant the original angle is in to properly evaluate the appropriate trig function. At least for the major angles with denominators of 6, 4 and 3.

[@cheyenneb4263]

Thanks for this. My teacher has the worst teaching methods for math I've ever encountered and I have a test tomorrow. I might be able to do a little bit better now.

[@Nawafy007]

@patrickJMT at 05:47 , shouldn't you use -3Pi - 2(2/3)Pi instead of 3Pi - 2(2/3)Pi ? Im confused because on the diagram you wrote -3Pi ….

[@TheAndicandi]

You've saved my life. And my grade point average. 4.0 for life.

[@StephanieQuiroz-ps9nl]

*weird flex but ok*

[@as2523]

my teacher shows us these vids in class. she knows their better.

[@patrickjmt]

i was a paid teacher once upon a time...

[@stinkyslinky432]

Thanks SO much. Your videos are so helpful

[@samusbaker]

Your page is my new bible!

[@Fadic4]

i just convert to degrees then convert back to radians when im done

[@pogbrainy]

Fadic 4 wdym, help me

[@jonathanaugustin647]

Exactly, don't complicate life.

[@gagansharma7361]

Ya same here

[@raviedavieu]

Wait so this actually works. BRUH, for question a) 5π/6 , according to my module is located in the fourth quadrant (???) and even continued with an entirely wrong solution because they followed that one mistake. so I thought you couldn't do that method you're talking about, when i tried it myself yesterday and got a different outcome... that's why i came running to this video in the first place like why do the examples that are meant to guide us, have incorrect information 😭😭 Anyway I'm done ranting, but thanks for making me realise that the example written in my module is wrong, like many other example mistakes I'd noticed.

[@arshiyaranjitkar6274]

thank uuuu smmmmm this helps a lot!

[@oTouchMe]

Super helpful video!

[@Tobi400400]

Excellent video, thank you for the much needed assistance.

[@PimpMatt0]

I never thought about putting it into a mix number. Professor, why you know teach us short cuts!

[@Esmeralda505]

This was helpful to me! Thank you!

[@patrickjmt]

@trekkian88 no problemo

[@dianasuzaimi5119]

why do you keep the reference angle positive when the actual angle is negative?

[@morgantyler3163]

Pre Calc final tomorrow.... Wish me luck??

[@Sauer_Kraut]

+Morgan Tyler Well? How'd it go?

[@morgantyler3163]

great! Thanks!!

[@hannguyen-kl1wn]

what about what if the given is -13pi/3? isn't it going to be the reference angle itself?

[@456sync]

Awesome. Great explanations

[@xsay24]

Amazing!! Thanks for this sir !! :)))))))))

[@leejohnson197733]

this is really helpful, but i am not quite getting to grips with 15 angle (5pi/8)

[@Lilsweetings]

Okay I'm kind of still confused. Can you also find the reference angle by converting radians to degrees by multiplying the given number by 180/pi? For example if you're given 5pi/6 can't you just multiply this by 180/pi cross out the pi's and simplify to get your degrees and then take it from there or is that totally totally wrong?

[@YouLovesChloe]

I'm really confused on the 11pi/4 one. Wouldnt you subtract 2pi instead of 3pi because 11pi/4 is in quad four?

[@leoxalvador494]

Chloe Marie he did a complete different method than the one I'd use. I would've changed the radians 11pi/4 to degrees by multiplying it by 180/pi(radians). You divide 180 by 4 equaling 45 then multiplying by 11 giving you 495 degrees. 495 - 360 = 135 degrees. Therefore it's in the 2nd quadrant as he said.

[@natureandrap]

Life saver frfr

[@brunodavide92]

Thank you very much !

[@kizhana]

This is really helpful... Thank u soo much..:D

[@Bigjoe0101]

Thanks for the help!!!!!!!!

[@noorafghanistann]

Thank you!

[@noorafghanistann]

screw off perv

[@mathematicsbyadeelahmad2408]

please let me know how - pi/6 is equal to 5pi/6

[@kaasshko]

god this makes me wanna smack my teacher. She has videos like this for notes, but it's just her working the problems and not explaining anything, and that's our notes. and then when we ask questions because we dont understand, she says it's in the notes. I need things to be shown to me more than once, and things repeated before I understand, but she just plays the video once and then all we have is notes on paper. which she takes the next day w/ the homework :\

[@bernardoperez3677]

Thank you so much!

[@patrickjmt]

@reeseepc lots of trig and algebra vids, so visit whenever you need a bit of help : )

[@BrutalSuperBEAST666]

how do you find associated points patrickJMT

[@tff1293]

you're the man.

[@patrickjmt]

ha :) she is probably just trying to give a different perspective

[@qqtan36]

I like your handwriting lol

[@robinkruger4798]

math test today woke up early to study >:3 watched dis video IM DONE :o

[@angelfairylily]

thank you so much.. u r my savior ;A;

[@izzafuentez4179]

I saw this man already so bie

[@gunboundph1]

the math teachers in my school are just teachers the coach sports

[@ted1983ful]

hello guys, can someone please tell me how someone can find for example SINE40 without using calculator??? thanks

[@YouhanY]

sin 40. sin is y/r. to find sin of 40 you will have to find ,x,y and r. graping it out will help out.

[@okamisworld5962]

Thanks

[@patrickjmt]

@kiddebo good luck!

[@ammarkhn6920]

Best one...

[@patrickjmt]

@samusbaker id rather be your new almanac : )

[@lyricg19336]

We didnt even learn it this way. We have to convert the radians to degrees and find the reference angles that way. This wouldve been so much easier.

[@Nirvana30550g]

i am still confused

[@lesleystefany7891]

Notice how it's always pi over the original denominator. You don't have to do any work

[@brendanb4361]

thats what I was thinking...

[@pietrotallarico5132]

you need to explain why your way to descriptive

[@Saucey65]

@485103 reference angles are always positive

[@davidjenny1332]

You Seem like a very nice down to earth guy. thanks, no homo ( not that there is anything wrong with it

[@iTzPaNGu]

:) thanks habibi

[@saarza9991]

6pi- 5pi is NOT 1PI! ITS ONLY PI!

[@wackybisexual8280]

Monty Pleyz One pi and pi are essentially the same. It is like multiplying 6 and one, you still get 6. It is unecessary he put a one, but not wrong. He probably said one pi so people could understand he subtracting method better.

[@markthestudtvjuarez6826]

his hand cover evthing becasue hes a lefty

[@siyuanthesuper1]

is it just me or the teachers on youtube teaches better

[@traffite3276]

I don't understand anything lol

[@sasha1581]

Im sorry but i didn't understand anything .... ik its my fault lol but fr trig is my ultimate enemy.

[@patrickjmt]

it is tricky :) keep studying and don't give up, you will get it.

[@sasha1581]

yeah it is tbh. but can you make a video explaining the related angles lesson asap? bc it's ruining my maths grades. ik 1 recommendation only isn't enough but as you like. if you did, it'd help me a lot. thanks.

[@nolanelkin8109]

Thank you very much. Your videos helped me a lot!

[@pottermarauder2698]

thank you !