How To Use Reference Angles to Evaluate Trigonometric Functions

แชร์
ฝัง
  • เผยแพร่เมื่อ 13 ธ.ค. 2024

ความคิดเห็น • 232

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +6

    Trigonometry - Free Formula Sheet: bit.ly/47diggI
    Final Exams and Video Playlists: www.video-tutor.net/
    Next Video: th-cam.com/video/bm8oYKKlCXI/w-d-xo.html

  • @Lemonade6969
    @Lemonade6969 ปีที่แล้ว +83

    He has helped me in every subject from physics to math to even computers, but i have never seen him teaching organic chemistry!

  • @esthershih5575
    @esthershih5575 4 ปีที่แล้ว +764

    thank you SO MUCH mate i was literally at the point of tears because I didn't get it

    • @outtahere3902
      @outtahere3902 4 ปีที่แล้ว +4

      esther shih me lol

    • @alicechow2860
      @alicechow2860 4 ปีที่แล้ว +61

      Same , and my teacher just skips a bunch of steps. I just can't follow her lol

    • @sadyyy._17
      @sadyyy._17 4 ปีที่แล้ว +7

      Well you should’ve just cried

    • @comotellamas9045
      @comotellamas9045 3 ปีที่แล้ว +2

      Why do you care so much

    • @melissacamden1949
      @melissacamden1949 3 ปีที่แล้ว +2

      me too

  • @RubiMercuri
    @RubiMercuri 5 ปีที่แล้ว +275

    My final exams are coming up in about two weeks and you are really saving my ass here. I hope I get no less than a 90% on my final. Your methods are so much more straight to the point and simple than the stupid textbook assigned to me. Thank you so much bro!

    • @milkyantiaap8694
      @milkyantiaap8694 5 ปีที่แล้ว +8

      Howd your exam go

    • @svijayiitk
      @svijayiitk 5 ปีที่แล้ว +6

      Did your exams go well?

    • @enockmboya2323
      @enockmboya2323 4 ปีที่แล้ว +13

      @@svijayiitk I think they didn't go so well after all😂😂

    • @wanda9394
      @wanda9394 3 ปีที่แล้ว +2

      @@enockmboya2323 lol🤣

    • @enockmboya2323
      @enockmboya2323 3 ปีที่แล้ว +4

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

  • @alexismccarrick7458
    @alexismccarrick7458 4 ปีที่แล้ว +53

    man ur the only person getting me thru math this semester

    • @eosdawn6399
      @eosdawn6399 3 ปีที่แล้ว +1

      Nobody can save me now lul

    • @deadprank243
      @deadprank243 2 ปีที่แล้ว +2

      @@eosdawn6399 u good?

  • @georgesadler7830
    @georgesadler7830 3 ปีที่แล้ว +22

    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.

  • @babyjanevillanueva4522
    @babyjanevillanueva4522 3 ปีที่แล้ว +9

    I'm really having a hard time coping up at online class and you're saving my grades, thanks man

  • @RDS-3
    @RDS-3 9 หลายเดือนก่อน +1

    This man has probably taught more helpful information than all of my teachers combined ever.

  • @simplementepeachy
    @simplementepeachy 4 ปีที่แล้ว +8

    I have my trig final tomorrow and im only just now understanding this. thank you for your help!!

  • @adityaagrawal7336
    @adityaagrawal7336 4 ปีที่แล้ว +5

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

  • @mistystar8683
    @mistystar8683 4 ปีที่แล้ว +7

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

  • @emilyslaughter845
    @emilyslaughter845 4 ปีที่แล้ว +4

    You saved me, I hope you’re doing great man you’re a real one

  • @boogxn
    @boogxn 4 ปีที่แล้ว +10

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

  • @parkerkenney6113
    @parkerkenney6113 ปีที่แล้ว

    This dude has carried me through highschool and now in college. You are a great man

  • @koushikibanerjee2805
    @koushikibanerjee2805 2 ปีที่แล้ว +27

    i still don't get it what the actual hell

    • @sabrinakemink7084
      @sabrinakemink7084 6 หลายเดือนก่อน +1

      kevinmathscience helped me

    • @axelxiloj799
      @axelxiloj799 10 วันที่ผ่านมา

      me too where did he got the values for the triangle sides😭

  • @anonymousotter6455
    @anonymousotter6455 3 ปีที่แล้ว +1

    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.

  • @EiliyahK
    @EiliyahK 5 ปีที่แล้ว +9

    Thank you sooo much, I had struggled doing my homework but my it will be much easier... To be honest I watch tons of video about this but ur method is best of all👊🏻

  • @ayane.
    @ayane. ปีที่แล้ว +1

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

  • @WillCastle
    @WillCastle 3 ปีที่แล้ว

    I swear you always come in clutch when I need you the most lol

  • @pranavsadeni6656
    @pranavsadeni6656 3 ปีที่แล้ว

    you are the best maths TH-camr i recommend changing your name to the organic maths tutor

  • @andrewusvat4579
    @andrewusvat4579 5 ปีที่แล้ว +5

    Your amazing, I can't believe how much you've helped me understand math concepts

  • @emperorpalpatine2531
    @emperorpalpatine2531 9 หลายเดือนก่อน

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

  • @salimphiri8414
    @salimphiri8414 2 ปีที่แล้ว

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

  • @ioleki1571
    @ioleki1571 2 ปีที่แล้ว +1

    so much better than my teacher

  • @DrLiangMath
    @DrLiangMath 2 ปีที่แล้ว +6

    Your explanation was so systematic, clear and easy to understand. Thanks👍

  • @wolfyx22
    @wolfyx22 6 ปีที่แล้ว +7

    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

  • @theexplainedguy7801
    @theexplainedguy7801 2 ปีที่แล้ว

    Finally I understand how to find sine cosine of an angle

  • @cherryflavoured8116
    @cherryflavoured8116 3 ปีที่แล้ว

    thank you so much youre seriously saving my online education

  • @marconetto5653
    @marconetto5653 2 ปีที่แล้ว

    Mans has a video for every possible precal problem! face reveal at 5 mill?

  • @joancoleman209
    @joancoleman209 4 ปีที่แล้ว +6

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

  • @jordankerr1
    @jordankerr1 10 หลายเดือนก่อน +8

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

    • @RichmoreKabamba
      @RichmoreKabamba 7 หลายเดือนก่อน

      You need escape velocity bruh

    • @KatherineLee-ds2qn
      @KatherineLee-ds2qn 7 หลายเดือนก่อน +1

      I hope u got it by now 😭

    • @jordankerr1
      @jordankerr1 7 หลายเดือนก่อน +2

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

  • @veronicaesther1139
    @veronicaesther1139 2 ปีที่แล้ว

    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.

  • @levixhange7989
    @levixhange7989 2 ปีที่แล้ว

    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!!

  • @poelow2178
    @poelow2178 4 ปีที่แล้ว +13

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

  • @crzywaffle
    @crzywaffle 3 ปีที่แล้ว

    You saved my life 💖

  • @ilovewhatisbeyond
    @ilovewhatisbeyond 4 ปีที่แล้ว +1

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

    • @imcorrect9122
      @imcorrect9122 4 ปีที่แล้ว +1

      Gotta love pearson restating the book's confusing wording lmao

  • @dicegaming5611
    @dicegaming5611 19 วันที่ผ่านมา +1

    My calculator was tempting me but i persevered

  • @Eren.yeagaaa
    @Eren.yeagaaa 4 ปีที่แล้ว +6

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

  • @jahlijahman
    @jahlijahman 3 ปีที่แล้ว +7

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

  • @seannavarette1571
    @seannavarette1571 3 ปีที่แล้ว +2

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

  • @jolly1125
    @jolly1125 2 ปีที่แล้ว

    luv you mr organic chemistry tutor

  • @Sofia-wx7mf
    @Sofia-wx7mf ปีที่แล้ว

    yes, perfection - amazing practivce!

  • @tawfiquehassan3783
    @tawfiquehassan3783 3 ปีที่แล้ว

    My mentor😌

  • @shaanusahota3912
    @shaanusahota3912 5 ปีที่แล้ว +1

    sir i love you so much right now

  • @ShelterMarumbei
    @ShelterMarumbei หลายเดือนก่อน

    Thank you Sir I understand much better from you

  • @vincentliu-p2c
    @vincentliu-p2c 4 วันที่ผ่านมา

    Bro saves my life,

  • @nevinas3194
    @nevinas3194 3 ปีที่แล้ว +2

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

  • @alexnoasa5260
    @alexnoasa5260 2 ปีที่แล้ว

    GOSH HE EXPLAİNS SO WELL

  • @nowitskevin3951
    @nowitskevin3951 6 ปีที่แล้ว +42

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

    • @jmrc2908
      @jmrc2908 6 ปีที่แล้ว +2

      Im having the same issue.

    • @إسماعيل-ط6خ3ض
      @إسماعيل-ط6خ3ض 6 ปีที่แล้ว +6

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

    • @jerryscanas
      @jerryscanas 5 ปีที่แล้ว +5

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

    • @melester2728
      @melester2728 3 ปีที่แล้ว

      @@إسماعيل-ط6خ3ض how’s life

    • @hansrajmanjre1836
      @hansrajmanjre1836 7 หลายเดือนก่อน

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

  • @tucrrskele
    @tucrrskele 2 ปีที่แล้ว

    you are the goat bro

  • @penelopeflouras2402
    @penelopeflouras2402 2 ปีที่แล้ว

    Extremely helpful video. Thank you so much!

  • @gulnora3443
    @gulnora3443 3 ปีที่แล้ว +7

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

    • @Wolf-r9d
      @Wolf-r9d 2 ปีที่แล้ว

      Late but look up Unit Circle and that should help.

  • @daniellaarmah8719
    @daniellaarmah8719 ปีที่แล้ว

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

  • @ComputerCurry
    @ComputerCurry 2 ปีที่แล้ว +1

    1:34 Why is the hypotenuse always positive?

  • @josellinedelarosa2166
    @josellinedelarosa2166 5 ปีที่แล้ว +1

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

  • @meganblack4387
    @meganblack4387 5 ปีที่แล้ว +10

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

  • @novaliepoetries8195
    @novaliepoetries8195 3 ปีที่แล้ว +1

    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.

  • @jessicaboudreaux1935
    @jessicaboudreaux1935 3 ปีที่แล้ว

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

  • @daralchleavheinkiana.1202
    @daralchleavheinkiana.1202 4 ปีที่แล้ว +4

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

    • @AquinasBased
      @AquinasBased 2 ปีที่แล้ว

      u arent tested on that ever.

  • @abiespinal9544
    @abiespinal9544 6 ปีที่แล้ว +2

    Thank you, very helpful

  • @Magoofi
    @Magoofi 3 ปีที่แล้ว

    Thx so much very helpful video

  • @cess6180
    @cess6180 8 หลายเดือนก่อน

    If I can invent "immortal pills", you're the first person I will give one for free so you can live forever and teach us more because you're a better teacher and I've learned so much from you!! thanks for your hardworkkk!!❤

  • @acidicali7776
    @acidicali7776 3 ปีที่แล้ว +1

    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..

  • @rahulmashelkar5128
    @rahulmashelkar5128 2 ปีที่แล้ว

    Thanks a lot man

  • @transformearth
    @transformearth 2 ปีที่แล้ว +4

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

  • @jeffandreisudiacal898
    @jeffandreisudiacal898 3 ปีที่แล้ว +2

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

  • @raf1x
    @raf1x ปีที่แล้ว

    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.🤞🤞🤞

  • @hye6158
    @hye6158 5 ปีที่แล้ว +3

    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
      @bruh3425 4 ปีที่แล้ว +1

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

  • @ADRELLA400
    @ADRELLA400 2 ปีที่แล้ว

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

  • @hhlt1101
    @hhlt1101 5 ปีที่แล้ว +4

    1:23 when should it be negative?

    • @theesurge321
      @theesurge321 5 ปีที่แล้ว

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

  • @mamoako1521
    @mamoako1521 ปีที่แล้ว

    9:44 TS

  • @Abbyerw
    @Abbyerw 4 ปีที่แล้ว +3

    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
      @PriyaSharma-fy7vw 4 ปีที่แล้ว +2

      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.

  • @amirul6607
    @amirul6607 3 ปีที่แล้ว

    Thank you sir...

  • @kevinvarghese8557
    @kevinvarghese8557 4 ปีที่แล้ว +1

    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

  • @maddog3227
    @maddog3227 4 ปีที่แล้ว

    Shukran brother

  • @jamaldickson5037
    @jamaldickson5037 3 ปีที่แล้ว +1

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

  • @charlesbiggus-chinnus5728
    @charlesbiggus-chinnus5728 3 ปีที่แล้ว +1

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

    • @soysauce3369
      @soysauce3369 2 ปีที่แล้ว

      ur name got me rollin

  • @trouvaille8378
    @trouvaille8378 5 ปีที่แล้ว +1

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

    • @svijayiitk
      @svijayiitk 5 ปีที่แล้ว

      no

    • @svijayiitk
      @svijayiitk 5 ปีที่แล้ว +1

      It's like a graph. The bottom is negative

  • @isabellakappel6463
    @isabellakappel6463 4 ปีที่แล้ว

    thank you so much

  • @insanejulz3488
    @insanejulz3488 3 ปีที่แล้ว +1

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

  • @hiteshrewani8802
    @hiteshrewani8802 2 ปีที่แล้ว

    Tysm mate

  • @cesareoespinoza5642
    @cesareoespinoza5642 ปีที่แล้ว +1

    Where do you get the side lengths from???

  • @dotollomelanies.195
    @dotollomelanies.195 3 ปีที่แล้ว

    thank you

  • @ysvsny7
    @ysvsny7 3 ปีที่แล้ว

    Thanks

  • @erin2704
    @erin2704 4 ปีที่แล้ว +1

    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
      @Myth_Minute-MM 4 ปีที่แล้ว

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

    • @novaliepoetries8195
      @novaliepoetries8195 3 ปีที่แล้ว

      I was wondering the same @Erin David

  • @Jay-df7yx
    @Jay-df7yx 2 ปีที่แล้ว +3

    pls im still so confused and my review is due tmr

  • @aashirali9086
    @aashirali9086 4 ปีที่แล้ว

    I would have topped my exam if you were my teacher

  • @jimgarden3673
    @jimgarden3673 4 ปีที่แล้ว

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

  • @zematic_4881
    @zematic_4881 4 ปีที่แล้ว

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

  • @calebsaheb3159
    @calebsaheb3159 3 ปีที่แล้ว

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

  • @llftj
    @llftj 6 หลายเดือนก่อน

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

  • @NaomilNakazwe
    @NaomilNakazwe หลายเดือนก่อน

    How do you determine which angle triangle to use?

  • @l.m.a.m3256
    @l.m.a.m3256 5 ปีที่แล้ว +2

    1:34 why root 3 is negative?

    • @Eleanor11040
      @Eleanor11040 5 ปีที่แล้ว

      It is in the negative y or quadrant IV (+,-)

    • @svijayiitk
      @svijayiitk 5 ปีที่แล้ว

      It's like a graph. The bottom is negative

  • @kenth2432
    @kenth2432 3 ปีที่แล้ว

    7:26 can someone tell me why 2 is positive even though it's in the same quadrant as 1?

    • @user-uv5fo6te3e
      @user-uv5fo6te3e 3 ปีที่แล้ว

      because 2 is the hypotenuse, and it’ll be positive

  • @mansoorahmad9564
    @mansoorahmad9564 2 ปีที่แล้ว

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

  • @julianas4502
    @julianas4502 4 ปีที่แล้ว +1

    Why is the 2 not negative?

  • @CodeTutor97
    @CodeTutor97 ปีที่แล้ว

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

  • @cameronrobbins9220
    @cameronrobbins9220 5 ปีที่แล้ว +2

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

    • @grega3611
      @grega3611 4 ปีที่แล้ว

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

  • @angelatafur4287
    @angelatafur4287 2 ปีที่แล้ว

    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?

  • @aasports8924
    @aasports8924 ปีที่แล้ว

    How about angles thats not land on special triangle?