How To Find The Reference Angle In Radians and Degrees

How To Find The Reference Angle In Radians and Degrees - Trigonometry

Рет қаралды 613,322

6 жыл бұрын

This trigonometry video tutorial provides a basic introduction into reference angles. It explains how to find the reference angle in radians and degrees.
Trigonometry - Basic Introduction: • Trigonometry
The Unit Circle:
• The Unit Circle, Basic...
How To Remember The Unit Circle Fast:
• How To Remember The Un...
Reference Angles:
• How To Find The Refere...
The Six Trigonometric Functions:
• The Six Trigonometric ...
How To Solve Right Triangles:
• Trigonometry - How To ...
_____________________________
Reciprocal Identities:
• Reciprocal Identities ...
Quotient Identities:
• Quotient Identities - ...
Even and Odd Trigonometric Identities:
• Even and Odd Trigonome...
Pythagorean Identities:
• Pythagorean Identities...
The Pythagorean Theorem:
• Pythagorean Theorem - ...
Trig Functions - Periodic Properties:
• How To Evaluate Trigon...
________________________________
The Exact Value of Trig Functions:
• How To Find The Exact ...
Special Right Triangles - 30 60 90:
• Special Right Triangle...
Special Patterns - Pythagorean Theorem:
• Special Patterns of th...
Cofunction Identities:
• Cofunction Identities ...
Final Exams and Video Playlists:
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Пікірлер: 392

@TheOrganicChemistryTutor Жыл бұрын

Next Video: kzfaq.info/get/bejne/ncp6pJSC2tSyXaM.html Trigonometry - Basic Introduction: kzfaq.info/get/bejne/nZ6GdquguNGZj6M.html How To Graph Trig Functions: kzfaq.info/get/bejne/nLeAgqWAq8iWo40.html Evaluating Inverse Trig Functions: kzfaq.info/get/bejne/qdVph82cm63FYok.html Verifying Trigonometric Functions: kzfaq.info/get/bejne/hKtmrcZ7uMDMiGQ.html Trigonometry Final Exam Review: kzfaq.info/get/bejne/haejldtluavSfGQ.html

@airlynsky4635 4 ай бұрын

Hello, Thank you for this video, but can you make one lesson with compass directions? Thank you!

@Nicholas-XXXXXXXX 5 жыл бұрын

I wish I was dead

@Nicholas-XXXXXXXX 5 жыл бұрын

i dropped the class and now im taking ssris because i have depression

@oofnebro8682 5 жыл бұрын

Nice

@ancap_rem 5 жыл бұрын

were*

@passport3763 5 жыл бұрын

Nick Nick don’t give up!!! The world needs people who are willing to bust ass like you!!

@priyavartrajain2166 5 жыл бұрын

we love you nick, don't give up ma boy

@velveteencherrytart6335 4 жыл бұрын

i have a trig test in 10 mins wish me luck

@Nawalsamer04 3 жыл бұрын

Omg same after 10 minutes

@tamimsajish4515 3 жыл бұрын

@@smolmonke1716 u wished him after 3 months

@sunblieths3625 3 жыл бұрын

Same tomorrow tho

@shellygushue4642 Жыл бұрын

Me in an hour

@WindyWooshes Жыл бұрын

Me tomorrow

@hellod4036 3 жыл бұрын

I haven’t been listening in my pre-cal class and this is going to be on the math test that I need to do in less than two hours so thank you!

@jeesh7987 2 жыл бұрын

Me rn

@aaftabsandhu8114 2 жыл бұрын

@@jeesh7987 me rn

@greekflower3600 Жыл бұрын

@@aaftabsandhu8114 me rn

@anayazia1503 Жыл бұрын

@@greekflower3600 me rn

@totsy7004 Жыл бұрын

@@anayazia1503 me rn

@zanderdadios1807 5 жыл бұрын

Video was made 2 years ago but still helping a homie to this day, I have my trigonometry exam today 😂

@zanderdadios1807 5 жыл бұрын

Update I got an 88% 🤠

@AR-rg2en 4 жыл бұрын

@@zanderdadios1807 congrats!

@velveteencherrytart6335 4 жыл бұрын

Zander Dadios sameeee

@zanderdadios1807 4 жыл бұрын

@@velveteencherrytart6335 ayy gang we out here

@felixmejia4061 4 жыл бұрын

@@zanderdadios1807 lol u alive

@jadenmoser8433 5 жыл бұрын

bruh why can't my math teacher do this tho

@gamerking-eq2xl 3 жыл бұрын

Cause Teachers Are not You-tubers

@henryserrano-wu127 3 жыл бұрын

Cause we don't play attention in class🤣

@Quandalius 3 жыл бұрын

My brain has collapsed on itself like a super massive star turning into a black hole

@kagamitaiga9167 3 жыл бұрын

Bruh 😂🤣

@adamc.7915 4 жыл бұрын

Basically, the angle must be off the x axis and be between 0 and 90. I can't believe my teachers didn't even teach this

@lisanguyen2397 5 жыл бұрын

Thank you so very much for taking time explaining so carefully, you are awesome

@JohnYuFitness Жыл бұрын

The entire video playlist is great! Organic Chem Tutor has some of the best math videos on KZfaq.

@noorakhan9081 2 жыл бұрын

this makes so much more sense than everybody elses video thank you so much!

@theseusswore 2 жыл бұрын

dude. how do you make such easy to understand videos, its simply amazing

@ram42 4 ай бұрын

I have a trig test in an hour

@cattidesjar4229 4 жыл бұрын

My college algebra teacher showed us this video. Thank you so much, this helps a lot!

@leenalcharfli3472 5 жыл бұрын

thank yoouuuuu i was so struggle in this part but i understand from you

@viperasd1331 3 жыл бұрын

This actually help me to understand the homework that I have thank you for this video

@rahmahosam3295 3 жыл бұрын

Thanks so much , you help us specially in distance learning 👏👏👏

@heypaul7246 5 жыл бұрын

amazing... the basics are taught well

@devpatel7154 4 жыл бұрын

Thank u so much I have a test tommorow and this really helped ur awesome!

@aishiaratrika 3 жыл бұрын

Awesome! Thanks a bunch

@georgesadler7830 2 жыл бұрын

MR. Organic Chemistry Tutor, this is another classic topic in trigonometry that is easy to follow. Problem solving is the key to understanding this topic.

@tamarab806 3 жыл бұрын

Thank you so much!!!!! This was so helpful

@velveteencherrytart6335 4 жыл бұрын

sir i love u forever this was such a good explanation omg

@babyjanevillanueva4522 2 жыл бұрын

thank you, I really cant understand it and you helped me a lot, salute to you!

@lachlandavies7495 4 жыл бұрын

bro thank you very much you just helped me out massively

@cheoleyrella_svt13 2 жыл бұрын

Thankyou so much !! You're literally a life saver

@chocolateameri Жыл бұрын

thank you for being clutch like always🙏🏾

@colehafner97 4 жыл бұрын

Thank you for blessing me so i don’t fail

@antoniog2429 Жыл бұрын

Thanks 🙏. Nicely done!

@nityakodali6073 3 жыл бұрын

Thank you so much for this video! You have no idea how much it helped me!!

@jomarcabides6837 3 жыл бұрын

I never knew I needed this. Thank You so much fr tho. :>

@bellelele3563 4 жыл бұрын

thanks you so much for fixing what my teacher taught wrong. I was really confused doing this reference angle and looking at what my teacher did. Then i realized that she did the wrong way.

@jasonbf03 5 жыл бұрын

A very helpful video, buddy! Nice job

@RubiMercuri 5 жыл бұрын

You saved my life

@giemar8307 2 жыл бұрын

Thank you Sir. God bless you

@masonthewise6132 3 жыл бұрын

Thanks, this helps.

@hhkwk1716 2 ай бұрын

You are saving my life ❤

@skankyi4644 3 жыл бұрын

this helped me so much thankyou

@kallytem9652 6 жыл бұрын

thank you so much your vidios are very helpful

@missasyan 3 жыл бұрын

"i wonder why i'm so bad at math" also me: watching videos about genshin and making team compositions instead of listening to math class

@keiru4000 3 жыл бұрын

FOR REAL I DO THE EXACT SAME THING 😭🤌 what’s ur team comp lolol

@leenicole1878 3 жыл бұрын

IM LITERALLY DOING THIS RN I CANT GET SPIRAL ABYSS LVL 8

@missasyan 3 жыл бұрын

@@keiru4000 childe, fischl, bennett, venti razor, kaeya, xingqiu, zhongli haven't artefact farmed for any supports cus i just triple crowned childe lmfao despite studying a little bit of theorycrafting (icd, gauges, etc), my application of what i've learned is horrible because i'm too lazy HAHA, the 90 fragile resin is just sitting in my backpack

@barb5953 3 жыл бұрын

literally though. But i go my phone taken away so now i have to do this and im trying to hurry up before klee banner

@olafsadfagdwetufsr1urssaxa549 3 жыл бұрын

actully that was excellent 🤝

@hitbornreman Жыл бұрын

Hey, I have a pre calculus exam tommorow. If I don't make it, I want you to know that your videos helped me alot. Thank you. (edit: I somehow survived. W)

@tylerkey7283 4 жыл бұрын

took my teacher an hour and a half to explain this same concept

@StarLight-ml2tp 3 жыл бұрын

I doubt it. Teachers don’t take an Hour to explain one concept, but they might take an hour working on examples to help you comprehend it. #respect for teachers

@hyon2441 3 жыл бұрын

i feel like my teachers rely on basic examples to make you feel like it's easy and you can ace anything but then the tests come and they put a slightly hard question, we get tilted and we all feel dumb hope they explain thoroughly, not half-assed

@klinxium8627 3 жыл бұрын

@@StarLight-ml2tp I politely disagree

@missy3041 2 жыл бұрын

@@hyon2441 this it just makes me wonder if that was the same concept the teacher taught us

@yellowflower8618 2 жыл бұрын

You made it even easier, yeahh talkin about PreCal.... Hmmm thankss!

@josephthecreator 2 жыл бұрын

Sir, I am thanking you in 2022 for creating this video 😅. THANK YOU!

@youknownothingjonsnow2418 2 жыл бұрын

How tf did we get from eating wild berries to solving this sht?

@anithakumar2008 6 жыл бұрын

Very good

@rethabilemofokeng1698 4 жыл бұрын

Thank you!

@PheonixFarss 4 жыл бұрын

something this simple my teacher can't explain

@buddywagner7458 3 жыл бұрын

Guys. (Angle in degrees) mod 90. If its in quad 2 or 4 then take that result and get the compliment from 90. ie, -240deg mod 90 = 30, its in quad 2, so reference is 60. Way faster and easier to do in your head.

@subhihamdallah6790 Жыл бұрын

Thanks!

@astudilloerika31 3 жыл бұрын

Thank you. I finally understand this.

@bruh6267 Жыл бұрын

For 5:18, what if the given degree to me is -400 degree, Do I have to add it to 360 twice to make it positive or just once and remain it at negative state?

@masonscruggs1209 2 жыл бұрын

Thank you!!!

@dieulia6126 2 жыл бұрын

Thank u very much!!!

@abdulaziz9229 3 жыл бұрын

Thx It's helpful

@japarc.manding3420 5 жыл бұрын

Thank you very much....

@Endet_ 4 жыл бұрын

thanks man!

@azk1776 4 жыл бұрын

The reference angle is in reference to the negative x-axis or the positive x-axis. In degrees it is either 180 or 0(same as 360). In radians, the negative x-axis is pi and the positive x-axis is 0(same as 2pi). It is too much work to convert to degrees then convert back again. For 8pi/9, it is just 8/9 of pi, which is 1/9 pi away from a full pi, putting it in the second quadrant.

@azk1776 4 жыл бұрын

So the reference angle of 8/9 pi is 1/9 pi. No need to convert to degrees. Think of the quadrants in pi instead of degrees.

@EmpyreanLightASMR 2 жыл бұрын

His only example that confused me was when the reference angle was 2π/5.... I thought it would just be π/5

@Mariomaxx 4 жыл бұрын

Thanks Lubin

@Sailormoonwoot 7 ай бұрын

homeboy is helping me in both classes lmfaooo thanks man

@jellybeangorl 2 жыл бұрын

you lifesaver

@mathsmadeeasywithbonolo5555 4 жыл бұрын

LOVE IT

@coldenate 7 ай бұрын

you’re so awesome

@SkyGearRev 3 жыл бұрын

Thanks for making the video dark themed. Studying for school at 2 am and about to go to sleep.

@xignit0r469 6 жыл бұрын

Thank uu sooo much i will definitely pass my exams

@Cindy99765 6 жыл бұрын

Good luck

@xignit0r469 6 жыл бұрын

Cindy99765 thank u

@sankarmitra3269 6 жыл бұрын

Did Yu pass ?

@visualmob 5 жыл бұрын

@@sankarmitra3269 guess not

@ChrisVIAC Жыл бұрын

your vids are literally the only thing giving me hope that i can pass this class

@fakegtbear2473 7 ай бұрын

This wasn't taught in our precal class but we have a test so I have to learn this in an hour

@DialaRhouli Ай бұрын

I swear i learn from this guy more than I learn from school lol

@chrispearce4064 4 жыл бұрын

ty so much

@EmpyreanLightASMR 2 жыл бұрын

8:42 I think the reference angle for 3π/5 is 2π/5, like you show, but all your examples (except for this one) are only one π degree away from each other. So 8π/9 is only π/9 away from 9π/9. The example with 3π/5 is the only one where you have two "pi steps" away from 5π/5, because 3 is 2 away from 5. So π/5 is a reference angle also, but only as a reference guide... you would eventually count π/5 twice to go from 5π/5 to 3π/5, and that would equal 2π/5. All this to say... I think the π/x number is a guide, but not the actual reference angle. This video made me realize we need to be just a little bit careful when answering questions on exams if the denominator is slightly different than what we're used to, is that right?

@sara1078 3 жыл бұрын

you saved me!!!

@p.o.n.d_6389 3 жыл бұрын

I have a math exam and I did not pay attention in class, so now I’m watching this at 3:00am 😤🥲

@whydoesthisnotallowmetowri843 3 жыл бұрын

It's midnight and I'm studying for a test in nine hours and I need to sleep -_-

@normazlinayaacub430 3 жыл бұрын

why cant we do 270 - theta if the angle happens to be in the third quadrant?

@toi_let954 3 жыл бұрын

thanks for the tutorial, my professor doesn't teach at all. Just makes us read a textbook.

@altheamatias6740 3 жыл бұрын

Thanks 👉😭👈

@supreemdahal4277 7 ай бұрын

Man love you the free content you provide is absolutely helpful. May god always help you, and god bless you. (God of every religion)

@thuggathottie 3 жыл бұрын

i have a trig test tomorrow which i just become aware of. wish me luck y'all.

@_LuvStarz_ 3 жыл бұрын

I wanna know what’s online class gonna do when I cheat, send me home

@safiasamad3715 3 жыл бұрын

Right...give me silent lunch

@Nawalsamer04 3 жыл бұрын

But you have to study math😭 but other subjects cheating is like easyyy

@gigglypiggly_ 3 жыл бұрын

nah online class is open book, so basicaly there is no such thing as cheating

@ethelb6237 3 жыл бұрын

@@gigglypiggly_ not for everyone buddy

@________8553 3 жыл бұрын

I only watched till 1:27 and already know everything I need to know

@sabrina8755 Жыл бұрын

Would it matter if there was sin, cos or tan at the front or would it all be the same

@mr.clickbaiter1015 3 жыл бұрын

Does this mean the reference angle of 35 is 35 degrees since Qreference=Q1 ?

@brianabrijmohan3835 3 жыл бұрын

This helped a lot, but how do you know which quadrant the angle is in?

@EmpyreanLightASMR 2 жыл бұрын

If you draw a cartesian graph (Y axis and X axis), there are four quadrants, each separated by 90° 180°, 270°, and 360°, if you go around the graph from the positive x-axis, counterclockwise.

@littletath 2 жыл бұрын

so much better than my teaxher

@marahyounis2941 7 ай бұрын

5:01 why should we find the coterminal angle first ??

@yogeshbaby9260 5 жыл бұрын

hey what is the use of reference angle

@zebull399 Жыл бұрын

Have a trig test next Tuesday

@limariomanoban9535 3 жыл бұрын

How about the reference number of -850?

@memesareessential6111 Жыл бұрын

how do u get the reference angle of -480 degrees

@rr-cp3iw 5 жыл бұрын

isnt the equation of the third quadrant 18o+the angle why is it here the angle -18o ????? pls help

@jefftheflyingtiger 4 жыл бұрын

GOOD

@jazzhandsintooblivion7586 5 жыл бұрын

someone please tell me what 14' means when it comes after an angle degree . . . i should have paid attention during class

@passport3763 5 жыл бұрын

jazzhands into oblivion im not sure but maybe it’s minutes?

@jazzhandsintooblivion7586 5 жыл бұрын

@@passport3763 nvm, found out it was a typo lolol but thanks!

@14oznalgenewaterbottle 2 жыл бұрын

4:59 (just putting a bookmark here when i come back from my 25 hour break bye)

@elicubillo313 Жыл бұрын

you explained more in 1 min than i learned in 2 classes lol

@blueboi5808 Жыл бұрын

Same

@tinybison. Жыл бұрын

Trig test tomorrow and I gotta learn 5 weeks of material wish me luck

@thatomofolo452 Жыл бұрын

Real talk 🤔

@nataly3093 4 жыл бұрын

what if it’s asking for a negative degree?

@chimarao382 2 жыл бұрын

I love you

@M1h69q 4 ай бұрын

what if the angle is 90? what is the reference would be