How To Use Reference Angles to Evaluate Trigonometric Functions

[@TheOrganicChemistryTutor]

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me too

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Howd your exam go

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[@enockmboya2323]

@@wanda9394 😂no reply then you can get the answer from that

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MR. Organic Chemistry Tutor, once again, this is another solid analysis of Reference Angle to Evaluate Trigonometry Functions. These videos/lectures continue to be outstanding.

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man ur the only person getting me thru math this semester

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I have my regional maths competition next week and you just saved me from getting absolutely destroyed by trigonometry..THX

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[@anonymousotter6455]

The assignment given to me was completely different than the notes my teacher gave me :))) ty for making this video otherwise I would be lost.

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I just picked up more math tips in 10 minutes than I have the whole year of my math class

[@ayane.]

he explained it so well in 2 mins, i was able to save myself from an hour of confusion and mental breakdown :0

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Brilliantly presented. You are clear and easy to follow. Your work is very relevant. Thank you.

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Thank you so much for your help i only understood after watching your videos

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[@wolfyx22]

wow that's a game change. Thank you very much men, it's really helped me to understand better how to find the reference angle

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Taught me more in a few minutes than a teacher with a college degree could in an hour

[@veronicaesther1139]

I should have given this guy my tuition instead because he is the only reason Im able to pass any of my math classes. My professor is literally just there to confuse the hell out of me.

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that moment when a youtube video teaches you more than your math teacher

[@levixhange7989]

LoL. This was included in our exam, but my teacher didn't provide ample examples and a clear explanation in our lesson. Thanks for this!!

[@koushikibanerjee2805]

i still don't get it what the actual hell

[@sabrinakemink7084]

kevinmathscience helped me

[@cherryflavoured8116]

thank you so much youre seriously saving my online education

[@theexplainedguy7801]

Finally I understand how to find sine cosine of an angle

[@poelow2178]

I felt smart for once, after watching this video 😆.

[@ilovewhatisbeyond]

omg this. Thank you so much. Pearson sucks, but you explained this so well. Thank you!!!! Thank you!!!!!

[@imcorrect9122]

Gotta love pearson restating the book's confusing wording lmao

[@nowitskevin3951]

but now what if it isn’t one of those special triangles

[@jmrc2908]

Im having the same issue.

[@إسماعيل-ط6خ3ض]

@@jmrc2908 Same. And my exam is tomorrow. Fuck my life.

[@jerryscanas]

The www.softschools.com/math/trigonometry/sum_and_difference_of_angles_identities/

[@melester2728]

@@إسماعيل-ط6خ3ض how’s life

[@hansrajmanjre1836]

ok guys its 2024 , its been 5 years did any of yall understood this?

[@ioleki1571]

so much better than my teacher

[@jahlijahman]

what about an angle like 205.5? how do you apply the 30,60,90 triangle there?

[@timeelapse619]

Pray

[@nevinas3194]

This is truly on of the useful ever found! Helped me alot🙏🏻

[@Sofia-wx7mf]

yes, perfection - amazing practivce!

[@penelopeflouras2402]

Extremely helpful video. Thank you so much!

[@daniellaarmah8719]

you're the best!!!!!!!!!!!!!!!!!!!

[@gulnora3443]

Hi, how can we know if triangles 45° and 45° or 30° and 60°?

[@Wolf-r9d]

Late but look up Unit Circle and that should help.

[@novaliepoetries8195]

10:12 isnt sin is supposed to be positive in the first quadrant? 240 degree is in the third quadrant right? That is 270-240=30, the answer -2.

[@crzywaffle]

You saved my life 💖

[@jolly1125]

luv you mr organic chemistry tutor

[@jessicaboudreaux1935]

thank you for posting. you explained everything clear and it is much appreciated.

[@jeffandreisudiacal898]

May I ask sir how the sides of the 45 degree angle is 1,1,and square root of 2?

[@jordankerr1]

Now matter how many videos I watch on this do not understand it

[@RichmoreKabamba]

You need escape velocity bruh

[@KatherineLee-ds2qn]

I hope u got it by now 😭

[@jordankerr1]

@@KatherineLee-ds2qn got it. My final for the class is on Wednesday need a 34% on it to pass woo!

[@hye6158]

Excuse me, why is the hypotenuse always positive at the fourth quadrant(or any other quadrant)? Isn't tangent positive only in in the third quadrant?

[@bruh3425]

so the hypothenuse is always positive because your hypothenuse is your "R" where as your adj is "X" and your opp is "Y"

[@acidicali7776]

This is actually really simple but I have to do these problems super fast so I won’t be able to take time to draw a graph. I’m just gonna have to memorize..

[@meganblack4387]

What do I do if I get like 27 degrees or 68 degrees what do I do then?

[@josellinedelarosa2166]

good sir I appreciate you for making this! thank you so much!!

[@tucrrskele]

you are the goat bro

[@daralchleavheinkiana.1202]

What if the angles are not special triangles? What is the number across it?

[@AquinasBased]

u arent tested on that ever.

[@transformearth]

how do you know that the hypotenuse is 2? when my teacher does it he always puts one and I am really confused 😭

[@Magoofi]

Thx so much very helpful video

[@Eren.yeagaaa]

3:40 how do you determine the quadrants if the values are different?

[@plist4180]

no clue

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sir i love you so much right now

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[@Abbyerw]

I don't get how to get the signs of each angle.. how can you determine in which quadrant if sin 270 is positive or negative

[@PriyaSharma-fy7vw]

Because sin 270 lies in third qudrant where sin is negative ..sine angle positive in only first and second qudrant .so sin 270 is negative.

[@abiespinal9544]

Thank you, very helpful

[@tawfiquehassan3783]

My mentor😌

[@kevinvarghese8557]

Sir from 3:28 - 4:42 I got the answer as root 3 and I think your answer is wrong because the question is find tan 7 pi/6 not tan pi/6

[@ComputerCurry]

1:34 Why is the hypotenuse always positive?

[@ADRELLA400]

What do you mean by “rationalize it” , what’s wrong if we leave the answer as it is

[@jamaldickson5037]

how do you know which angle to do the sin, cos, tan, csc, sec, and cot from?

[@alexnoasa5260]

GOSH HE EXPLAİNS SO WELL

[@maddog3227]

Shukran brother

[@insanejulz3488]

How do you know what the x, ys are to determine what sign they are?

[@raf1x]

I have a honours pre calc final tmr I need a 38 on this final exams to pass the class 😂 I have no idea what was going on this whole year despite trying so hard to understand.🤞🤞🤞

[@rahulmashelkar5128]

Thanks a lot man

[@jimgarden3673]

What if you get a smaller negative degree? E.g cos(-15)? How would you make the triangle?

[@mansoorahmad9564]

Sir quick question do I have rationalize the answer like -1/√2 to -√2/2 or can I just leave -1/√2

[@maazahemd7947]

Thank you

[@hiteshrewani8802]

Tysm mate

[@cesareoespinoza5642]

Where do you get the side lengths from???

[@amirul6607]

Thank you sir...

[@hhlt1101]

1:23 when should it be negative？

[@theesurge321]

Think of it as a graph. Left side is negative, bottom as well.

[@angelatafur4287]

What if the denominator is not 3,6, or 4 for the radians. For example, my professor gave me this problem: cos (-9 Pi/ 2). The way he explained it had me really lost but I know the answer is 0... but why?

[@ysvsny7]

Thanks

[@CodeTutor97]

Why did you make the hypotenus which is r positive in quadrant 4? Isn't x the only side positive? @organic chemistry tutor

[@isabellakappel6463]

thank you so much

[@zematic_4881]

how would you know what degrees to pick? is it always on the x-axis the reference angle?

[@trouvaille8378]

1:32 it should be positive sqrt of 3, right? the one that is negative is its denominator 2

[@svijayiitk]

no

[@svijayiitk]

It's like a graph. The bottom is negative

[@seannavarette1571]

In 8:21, I don't get why you add 8 pie over 4. I'm literally confused

[@julianas4502]

Why is the 2 not negative?

[@charlesbiggus-chinnus5728]

Well this definitely cleared up what I'm suppose to do lol

[@soysauce3369]

ur name got me rollin

[@Mark-ri8vn]

Wait, why is 300 degrees associated with 60 degrees for Sin 300?

[@Jay-df7yx]

pls im still so confused and my review is due tmr

[@calebsaheb3159]

how do we know the values of hypotenuse and lengths of the triangle?

[@PeytonFen]

i thought the hypotenuse on unit circles was always one?

[@aasports8924]

How about angles thats not land on special triangle?

[@erin2704]

Why is it 60 degrees at 10:11 isn't it supposed to be 30 degrees since 270 - 240 is 30? and shouldn't it be in the other half of quadrant 2? Someone help I'm confused. Edit: Lmao I'm still waiting for an answer. Please help me lol even if this is comment is posted a long time ago. 😞✊ 😂

[@Myth_Minute-MM]

reference angle is always between terminal array and x-axis either positive or negative

[@novaliepoetries8195]

I was wondering the same @Erin David

[@beyondtheeyes6315]

I just don't get what we're supposed to be evaluating, what are we trying to find?

[@cameronrobbins9220]

Why was it suddenly root 2, i thought opposite 90 was 2?????

[@grega3611]

Smiffy Boy 45-45-90 triangles have root two and 30-60-90 triangles have two for the hypotenuse

[@removeduser3006]

can i just concert the radian into degree using 180/pie instead?

[@manuelissiahrito6917]

why did he use the co terminal for the 4pi/3?

[@removeduser3006]

but that's all are for special angle only.how about reference angle other than 45 and 60 ??

[@llftj]

That entire first step was CONPLETELY glossed over shi had me fuming

[@miaalmanza5344]

yeah I definitely recall those are the values of Pi.. it would be more helpful if you explained how to actually determine where the radian values are instead of assume we already know

[@RubiMercuri]

That's because he has many videos covering that already. Obviously if you don't know you'd check out those videos of his first..

[@neilmehra_]

just convert deg to radians by doing deg * (pi/180)