Reference Angles Trigonometry, In Radians, Unit Circle - Evaluating Trig Functions

[@TheOrganicChemistryTutor]

Trigonometry - Free Formula Sheet: bit.ly/47diggI Trigonometry Video Lessons: www.video-tutor.net/basic-trigonometry.html

[@MonarchofVoid]

Why are the trig functions of the reference angle and the trig functions of original angle? Eg. sin 30°=sin 150°

[@josef8962]

Growing up, I always thought that trigonometry is hard probably because of how my teachers teach it, but you, you made it easier for us to understand the concepts, and how to solve it.

[@xabiibibnumaxamedibraahin5448]

Niceteacher

[@fahadalshammry9667]

Sir, you're nothing but a MASTER of what you do

[@syndicate_7984]

Bless thee kind soul for taking the weight of a thousand worksheets off my back. Good content, good channel; keep it up!

[@srmohammedjubair2070]

Great

[@kv7310]

Who else has a test tomorrow?

[@amogus123-l2h]

lets get it

[@user-pz3yr6zc3p]

Yeet

[@kameronquito9512]

It’s the pre cal test for me

[@Name-hg3ho]

I’m in a test rn 🥴

[@mydogisblhynd143]

@@Name-hg3ho you pass it?

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank for another well organized and explained video/lecture on Reference Angles in old fashion Trigonometry. Reference Angles makes angle computation much simpler in Trigonometry.

[@richardmackintosh]

I'll admit. I never really liked this channel throughout high school but for some reason, this video completely clicked with me. Thanks

[@tanvirahmed2990]

Who ever you are u deserve a medal sir I’ve been looking for videos that explained how this worked and nothing helped until I saw this THANK YOU

[@wintermelon9912]

Whenever I watch your tutorials, I always get the highest scores and highest grades. THANK YOU SO MUUUCH!

[@oseibeneman9042]

Ever since I watched you video, I have really understood trigonometry, radian and unit circle. Thanks, @The Organic Chemistry Tutor. You explanation is very simple for everyone to understand. Keep up with the fabulous work because you are really making students school work easily to be done including me. Thank you once again for your simple explanation.

[@mutinyonline10]

Interesting how the LOGICAL way of finding reference angles only works for Quadrant 3. Trigonometry is actual cancer. Thanks for this vid though, I shall add these backwards rules to the plethora of other illogical trig rules. Awesome. *cries inside*

[@faithhovey4010]

mood

[@HClutchwao]

@trigonomic cancer🤣🤣🤣funny guy!

[@ilhammorsalin2503]

ive been struggling in this topic for days, thanks a lot man, great content

[@theavgguy3555]

same

[@sinthryn6594]

i have been so lost for literally two weeks in class and this just made so much sense thank you so much you are literally a life saver

[@RodyTheRoad]

Your videos are pretty easy to understand by using simple terms, our books and reference materials LOVE to make it very complicated. Saves a lot of time

[@antisocialbutterfly3709]

Same. My math books in highschool always explain topics in a very complicated manner. This is the reason why my books don't get touched. I wouldn't understand my book if I don't have someone teaching me or if I don't watch a tutorial on KZbin.

[@iPodCharger69420]

@@antisocialbutterfly3709 ok

[@lonaadil7783]

Thank you so much you basically saved me from doing a huge mistake that I thought i was doing it in the right way but it wasn’t 😅.

[@henryvg8825]

You're a great man teaching the world the knowledge we want to know.

[@laurenorourke2442]

thank you so so much ahhh because my algebra 2 teacher said I have a quiz tomorrow and I didn't know about it so :) but thanks for the videos!! you're the reason I got an A last semester!

[@isaperez7178]

this channel has saved my grade so so much

[@pianofry1138]

Your channel is a life saver. I have to take a class where they think ALEKS is an effective teacher.

[@IceyDivine]

you taught some of these parts in like secs and my professor takes 2 hours to explain some of this LOL...

[@thepeeps191]

Congrats on 3M subs! Keep up the good work!

[@Clips0756]

bro is now on 7.96 million

[@laniersimone]

This man is HEAVEN SENT! Thank you!!

[@segbusefeotor1201]

I don't know what inspired you to teach but keep doing your job cause you're amazing at it

[@sairamchitrada4918]

soo helping thank you Soo much

[@sizaria3566]

Nah cuz our assignment is this and the whole class practically had the same braincells working and FLOATING that period😢

[@Nobody-yx8og]

We are blessed to have you ✨🙏🏻✨

[@kelsgoat]

so so helpful!! you make it so easy to understand! my grades and I thank you

[@sahibsingh-in4sz]

this man has single handedly carried me in pre-Cal

[@xavierseemampillai3109]

Very clear and good explanation , keep it up

[@antisocialbutterfly3709]

You should add a thanks button on your videos. Btw, thanks for this channel.

[@RKKPvP]

your voice is so easy to understand and listen to

[@baoanprounited]

very easy to understand. THANK YOU VERY MUCH!

[@Souls_p_]

Something just went over in pre-cal for some reason it wouldn't just stick in my brain, this really helps cement it.

[@jayjayTT868]

Excellent Tutorial! Keep up the good work.

[@DemonCoreEntertainment]

You somehow explained that in a way more understandable way than my professor or textbook could do 😂

[@fatma-lc2xk]

Hello sir, I would like to know the sine of the reference angle of the acute angle 60_30_45, the sine of the angle 170 in the same way. It is my homework for tomorrow ++ I apologize if there is a mistake in the words, but I use Google for translation. Thank you. ❤

[@chrisogele8863]

guy you are actually the best

[@jeccaorita8783]

This is way better than my teacher. Pre calculus is fuckin' mind blowing

[@legendff8755]

Got test tdy,thank u

[@kellydelgado9423]

saved my life! thank you so much!

[@razanzantout9830]

You're amazing. Thank you!

[@NickSellsMonmouth]

Great video. Thank you so much.

[@TomboiiLinkZ]

thank you so much! this really helps

[@mollyr4834]

Thank you so much ! Very helpful

[@iamegg6397]

You're so helpful! Thx so much ^^

[@Chrisymcmb]

So I guess you really do need to remember these 4 formulas in order to work out reference angles. Is there not a way to work it out through visuals of the unit circle and figure out the required steps through that?

[@sofresh4life]

Just remember that positive values moves in a COUNTER-clockwise direction...Then once you find value think to yourself “how many degrees would it take to get back to the x-axis?”....For example if you were given 150 degrees. That’s in quadrant 2....so to get back to the x axis you would have to add 30 degrees. 30 degrees is indeed that reference angle....Hope that helps

[@frankenweenie3236]

this helped me so much thank you

[@paulusdelapena5518]

You give more Good information about topic

[@olajumokealbert6578]

Pls can you do a video on solving sin,cos and tan of +and- decimal, my teacher didn't really explain well and we are having a test tommorow.

[@augustina3657]

Bless all ye test crammers who gaze upon this comment. May you pass the test you cram for. Amen.

[@moonakam7029]

جزاك اللە خیرا

[@oumoudiallo2360]

Thank you so much.. God blessed u

[@profmo]

Great video!!!!!!!

[@hhlt1101]

only video i found helpful

[@samdzaja6291]

Thanks, buddy!!!

[@juanpedraw4245]

Bruuuuuuh.... Now I'm confused.. We were thought differently in school. Quadrant 1 = as is. Quadrant 2 = angle - 90° Quadrant 3 = angle - 180° Quadrant 4 = angle - 270° Because her reasoning was you were supposed to subtract the angle by the degree it went past.

[@LukeVosili]

Thank you very much Sir

[@oumoudiallo2360]

you are the best

[@Lord_Baelish]

Pls can you explain the triangle @ 15:13

[@Kevin-ch9ch]

What about when the they don't go evenly say like 22PI/7... How do you find that degree?

[@ejay1836]

Reference angles are always positive angles right?

[@haoen4261]

The reference angle of the third quadrant can also be calculated with 270-theta

[@abdikahiye3781]

Bro God bless but i have one request Plz if possible help me with application of trigenometry under 1.a household appliances and electric generators pLz am suffering with it

[@CheekyGal301]

Thank you so much :)

[@tammimrahman8264]

I have exam today at 10am and it is 7am

[@yo_fadedios9666]

At the end of the video isn't TAN Y/X so shouldn't be 1 over root 3? and then negative

[@mollygarrett2611]

What if your teacher doesn't allow converting radians to degrees? How would you figure out the reference angles in radians?

[@mrfantasticguy6385]

What he was doing except in radians. For Quadrant1 = The reference angle is itself For Quadrant2 = π - Angle in Quad2 For Quadrant3 = Angle in Quad3 - π For Quadrant4 = 2π - Angle in Quad4 So for example: The angle 11π/6. We know that it is in Quadrant 4 As it is pretty close to 2π Then we do 2π - (11π/6) = π/6 Therefore that is our reference angle!

[@joshgins439]

THANK YOU!!!

[@kitlazatrab5947]

Wish you were my teacher.

[@ditinct8894]

*thank you for teaching in an understandable way~* however, i spotted a mistake at 19:10 in Tan 60° = √3 It should be: Tan 60° = 1/√3 In the given 30-60-90 triangle, Opposite Side = 1 Hypotenuse = 2 Adjacent Side = √3 · SOH CAH *_TOA_* · TOA, which is Tan = Opposite Sides/ Adjacent Therefore, Tan = 1/√3

[@rupendrapratapsingh1918]

For angle 60 degree, opposite side to angle 60 is root 3 not 1.. so he is correct

[@annacoleannacole7666]

saved my life

[@danieldelorenzo2425]

Does anyone else have the problem where you just cant wrap your mind around using radians?

[@aa3._452]

Thank you sooooooo much omg

[@thescienceworldteam5513]

God bless you

[@mgforrest6158]

Thank you

[@M___4444]

absolute unit

[@Phantom-fi8sc]

Boomers : technology is destroying our world *lockdown enters the meeting* Boomers : I pretend I didn’t see that

[@3spressoShot]

your sooo much better then my wack teacher...... DEAN GOOCH at Santa Rosa junior college... NEVER TAKE HIM

[@nathanchan6826]

thanks man

[@noahthacker3479]

thank you thank you thank you

[@petrochengula9480]

Thanks

[@waltermanchego2008]

perfect exsampl and very interting

[@ponderosabones7803]

9:44 - 11:11 Me: What sorcery is this?

[@candyreid59]

If on the coordinate plane you move clockwise, why are you naming your quadrants counter clockwise ?

[@richardlippert8309]

Because quadrants on a coordinate plane always move counterclockwise, and positive angles always open counter clockwise in relation to the positive x axis… or so my text book says 🤷‍♂️

[@Lord_Baelish]

I'm watching this during class cuz i don't understand what this teacher is saying

[@Wildbill101]

Why does Cengage overcomplicate everything?

[@Nana-io7cd]

Hi, Can you help me please? What the reference angle of -13 π /3??

[@jayxu7287]

I think it's just pi over 3

[@hassanhanbali4618]

30

[@stevenclarkbelmonte6873]

legend

[@birdey7600]

why is the final answer for the last question is negative root 3 and why its not positive

[@abenazerzelalem4188]

I am having atest five years later after the video was released

[@thechosenone711]

Who else’s is doing work from home due to the coronavirus?

[@milkydrops2510]

im so clueless lmao im in 9th grade im taking an art design track why do i have 2 learn this plz😭😭😭😭

[@ชาคริตสกุลคง-ร1ม]

Yes

[@pabloh8206]

Great vid but what about negative angles that are over 360

[@yeny7194]

yes!

[@akkir6707]

You subtract 360 i think.

[@kshjnbvsmd]

Add *360 × n* Where *n* is a positive integer

[@garydickson]

a bit late, but add 360 to the angle. the result you get is the angle you have to form CLOCKWISE. for example: say you're given the angle -400 degrees 1. add 360 to it and you get -40 2. -40 means the angle is formed in the 4th quadrant (when considering clockwise) 3. and now to find the ref angle all you have to do is subract the angle you get from 360. it might be a bit more work and confusing but thats how i usually work with them Trig is weird

[@seanobi6962]

What if your angle is negative on the 2nd quadrant?

[@lorinx7255]

If it is negative, get its coterminal angle.

[@salt9072]

(- angle) + 360°

[@DiamondYoshi101]

I think I figured out an equation for. (Note: KZbin comments are very limiting for righting equations. But I'll explain with an example if things are unclear.) x𝛑 x𝛑 ------ will turn into ----- y y ----- x Using this formula, let's say 5𝛑 over 3 is our angle. (Cause it's an example used in the video. You will divide the entire thing by 5. So it is now 7𝛑 over 3, now divided by 5. The 5's end up cancelling each other out and you get 𝛑 over 3. This works will everything as long as x > 1 from what I can tell. If something is wrong, let me know.

[@DiamondYoshi101]

Update: I don't think this works if x = y as it'll simplify to 𝛑 (like he stated)

[@renegadedonutshorse]

thank you sir you are a fucking legend

[@linahermiz657]

then when r u supposed to use ASTC anyone know

[@K31N0S]

tnx man!

[@jlizreal6320]

What is ø? And its pronounciation?

[@mayankkumar4569]

It is just a symbol to denote an angle in trigonometry. Pronounciarion is phi. Apart from that it is also used to denote empty sets