How To Use Reference Angles to Evaluate Trigonometric Functions

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  • Опубликовано: 22 дек 2024

Комментарии • 232

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +6

    Trigonometry - Free Formula Sheet: bit.ly/47diggI
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    Next Video: ruclips.net/video/bm8oYKKlCXI/видео.html

  • @Lemonade6969
    @Lemonade6969 Год назад +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 года назад +766

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

  • @RubiMercuri
    @RubiMercuri 5 лет назад +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 лет назад +8

      Howd your exam go

    • @svijayiitk
      @svijayiitk 5 лет назад +6

      Did your exams go well?

    • @enockmboya2323
      @enockmboya2323 4 года назад +13

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

    • @wanda9394
      @wanda9394 3 года назад +2

      @@enockmboya2323 lol🤣

    • @enockmboya2323
      @enockmboya2323 3 года назад +4

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

  • @georgesadler7830
    @georgesadler7830 3 года назад +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.

  • @alexismccarrick7458
    @alexismccarrick7458 4 года назад +53

    man ur the only person getting me thru math this semester

  • @babyjanevillanueva4522
    @babyjanevillanueva4522 3 года назад +9

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

  • @adityaagrawal7336
    @adityaagrawal7336 4 года назад +5

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

  • @simplementepeachy
    @simplementepeachy 4 года назад +8

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

  • @RDS-3
    @RDS-3 9 месяцев назад +1

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

  • @emilyslaughter845
    @emilyslaughter845 4 года назад +4

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

  • @EiliyahK
    @EiliyahK 5 лет назад +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👊🏻

  • @joancoleman209
    @joancoleman209 4 года назад +6

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

  • @anonymousotter6455
    @anonymousotter6455 3 года назад +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.

  • @DrLiangMath
    @DrLiangMath 2 года назад +6

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

  • @parkerkenney6113
    @parkerkenney6113 Год назад

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

  • @mistystar8683
    @mistystar8683 4 года назад +7

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

  • @ayane.
    @ayane. Год назад +1

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

  • @andrewusvat4579
    @andrewusvat4579 5 лет назад +5

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

  • @Eren.yeagaaa
    @Eren.yeagaaa 4 года назад +6

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

  • @wolfyx22
    @wolfyx22 6 лет назад +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

  • @jahlijahman
    @jahlijahman 3 года назад +7

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

  • @seannavarette1571
    @seannavarette1571 3 года назад +2

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

  • @boogxn
    @boogxn 4 года назад +10

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

  • @novaliepoetries8195
    @novaliepoetries8195 3 года назад +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.

  • @ComputerCurry
    @ComputerCurry 2 года назад +1

    1:34 Why is the hypotenuse always positive?

  • @veronicaesther1139
    @veronicaesther1139 2 года назад

    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.

  • @pranavsadeni6656
    @pranavsadeni6656 3 года назад

    you are the best maths RUclipsr i recommend changing your name to the organic maths tutor

  • @levixhange7989
    @levixhange7989 3 года назад

    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!!

  • @WillCastle
    @WillCastle 3 года назад

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

  • @emperorpalpatine2531
    @emperorpalpatine2531 9 месяцев назад

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

  • @gulnora3443
    @gulnora3443 3 года назад +7

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

    • @Wolf-r9d
      @Wolf-r9d 2 года назад

      Late but look up Unit Circle and that should help.

  • @cherryflavoured8116
    @cherryflavoured8116 3 года назад

    thank you so much youre seriously saving my online education

  • @salimphiri8414
    @salimphiri8414 2 года назад

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

  • @hhlt1101
    @hhlt1101 5 лет назад +4

    1:23 when should it be negative?

    • @theesurge321
      @theesurge321 5 лет назад

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

  • @theexplainedguy7801
    @theexplainedguy7801 2 года назад

    Finally I understand how to find sine cosine of an angle

  • @jeffandreisudiacal898
    @jeffandreisudiacal898 3 года назад +2

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

  • @nevinas3194
    @nevinas3194 3 года назад +2

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

  • @trouvaille8378
    @trouvaille8378 5 лет назад +1

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

    • @svijayiitk
      @svijayiitk 5 лет назад

      no

    • @svijayiitk
      @svijayiitk 5 лет назад +1

      It's like a graph. The bottom is negative

  • @daralchleavheinkiana.1202
    @daralchleavheinkiana.1202 4 года назад +4

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

    • @AquinasBased
      @AquinasBased 2 года назад

      u arent tested on that ever.

  • @ilovewhatisbeyond
    @ilovewhatisbeyond 4 года назад +1

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

    • @imcorrect9122
      @imcorrect9122 4 года назад +1

      Gotta love pearson restating the book's confusing wording lmao

  • @koushikibanerjee2805
    @koushikibanerjee2805 2 года назад +31

    i still don't get it what the actual hell

    • @sabrinakemink7084
      @sabrinakemink7084 6 месяцев назад +1

      kevinmathscience helped me

    • @axelxiloj799
      @axelxiloj799 19 дней назад

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

  • @hye6158
    @hye6158 5 лет назад +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 года назад +1

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

  • @marconetto5653
    @marconetto5653 2 года назад

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

  • @meganblack4387
    @meganblack4387 5 лет назад +10

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

  • @poelow2178
    @poelow2178 4 года назад +13

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

  • @ioleki1571
    @ioleki1571 2 года назад +1

    so much better than my teacher

  • @jamaldickson5037
    @jamaldickson5037 3 года назад +1

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

  • @Abbyerw
    @Abbyerw 4 года назад +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 года назад +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.

  • @cesareoespinoza5642
    @cesareoespinoza5642 Год назад +1

    Where do you get the side lengths from???

  • @penelopeflouras2402
    @penelopeflouras2402 2 года назад

    Extremely helpful video. Thank you so much!

  • @insanejulz3488
    @insanejulz3488 3 года назад +1

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

  • @crzywaffle
    @crzywaffle 3 года назад

    You saved my life 💖

  • @CodeTutor97
    @CodeTutor97 Год назад

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

  • @Sofia-wx7mf
    @Sofia-wx7mf 2 года назад

    yes, perfection - amazing practivce!

  • @jessicaboudreaux1935
    @jessicaboudreaux1935 3 года назад

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

  • @josellinedelarosa2166
    @josellinedelarosa2166 5 лет назад +1

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

  • @jordankerr1
    @jordankerr1 11 месяцев назад +8

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

    • @RichmoreKabamba
      @RichmoreKabamba 7 месяцев назад

      You need escape velocity bruh

    • @KatherineLee-ds2qn
      @KatherineLee-ds2qn 7 месяцев назад +1

      I hope u got it by now 😭

    • @jordankerr1
      @jordankerr1 7 месяцев назад +2

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

  • @cess6180
    @cess6180 8 месяцев назад

    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!!❤

  • @l.m.a.m3256
    @l.m.a.m3256 5 лет назад +2

    1:34 why root 3 is negative?

    • @Eleanor11040
      @Eleanor11040 5 лет назад

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

    • @svijayiitk
      @svijayiitk 5 лет назад

      It's like a graph. The bottom is negative

  • @jolly1125
    @jolly1125 2 года назад

    luv you mr organic chemistry tutor

  • @zelenimonter4901
    @zelenimonter4901 Год назад

    1:34 how we know the size of sides?

  • @transformearth
    @transformearth 2 года назад +4

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

  • @mansoorahmad9564
    @mansoorahmad9564 2 года назад

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

  • @tawfiquehassan3783
    @tawfiquehassan3783 3 года назад

    My mentor😌

  • @kenth2432
    @kenth2432 3 года назад

    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 года назад

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

  • @tucrrskele
    @tucrrskele 2 года назад

    you are the goat bro

  • @zematic_4881
    @zematic_4881 4 года назад

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

  • @shaanusahota3912
    @shaanusahota3912 5 лет назад +1

    sir i love you so much right now

  • @daniellaarmah8719
    @daniellaarmah8719 Год назад

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

  • @kevinvarghese8557
    @kevinvarghese8557 4 года назад +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

  • @abiespinal9544
    @abiespinal9544 6 лет назад +2

    Thank you, very helpful

  • @nowitskevin3951
    @nowitskevin3951 6 лет назад +42

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

    • @jmrc2908
      @jmrc2908 6 лет назад +2

      Im having the same issue.

    • @إسماعيل-ط6خ3ض
      @إسماعيل-ط6خ3ض 6 лет назад +6

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

    • @jerryscanas
      @jerryscanas 5 лет назад +5

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

    • @melester2728
      @melester2728 3 года назад

      @@إسماعيل-ط6خ3ض how’s life

    • @hansrajmanjre1836
      @hansrajmanjre1836 8 месяцев назад

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

  • @jimgarden3673
    @jimgarden3673 4 года назад

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

  • @ADRELLA400
    @ADRELLA400 2 года назад

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

  • @NaomilNakazwe
    @NaomilNakazwe Месяц назад

    How do you determine which angle triangle to use?

  • @ShelterMarumbei
    @ShelterMarumbei 2 месяца назад

    Thank you Sir I understand much better from you

  • @acidicali7776
    @acidicali7776 3 года назад +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..

  • @royharper2491
    @royharper2491 3 года назад

    What if its like 45° that would be in the first quadrant correct?

  • @geshananupama5871
    @geshananupama5871 3 месяца назад

    What is rationalize 4:36

  • @alexnoasa5260
    @alexnoasa5260 2 года назад

    GOSH HE EXPLAİNS SO WELL

  • @Magoofi
    @Magoofi 3 года назад

    Thx so much very helpful video

  • @dicegaming5611
    @dicegaming5611 28 дней назад +1

    My calculator was tempting me but i persevered

  • @calebsaheb3159
    @calebsaheb3159 3 года назад

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

  • @aasports8924
    @aasports8924 Год назад

    How about angles thats not land on special triangle?

  • @maddog3227
    @maddog3227 4 года назад

    Shukran brother

  • @manuelissiahrito6917
    @manuelissiahrito6917 Год назад

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

  • @angelatafur4287
    @angelatafur4287 2 года назад

    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?

  • @rahulmashelkar5128
    @rahulmashelkar5128 2 года назад

    Thanks a lot man

  • @vincentliu-p2c
    @vincentliu-p2c 13 дней назад

    Bro saves my life,

  • @removeduser3006
    @removeduser3006 3 года назад

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

  • @erin2704
    @erin2704 4 года назад +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 года назад

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

    • @novaliepoetries8195
      @novaliepoetries8195 3 года назад

      I was wondering the same @Erin David

  • @mamoako1521
    @mamoako1521 Год назад

    9:44 TS

  • @julianas4502
    @julianas4502 4 года назад +1

    Why is the 2 not negative?

  • @robot_asahi5347
    @robot_asahi5347 5 лет назад

    4:39 the answer should be the square root of 3 right?

    • @nununyaaahh9428
      @nununyaaahh9428 4 года назад

      It was rationalized. In order to remove the radical sign in the denominator, it was multiplied with a fraction which both numerator and denominator has the same value of the denominator of the previous fraction. So, numerator would be square root of three, while denominator would be 3 (square root of 3^2 is 3). Note that it is only rewritten, so the value doesnt change because it was basically multiplied to 1.

    • @markkevinrubipenero181
      @markkevinrubipenero181 4 года назад

      But the opposite would be root of negative 3 and adjacent would be negative one

  • @amirul6607
    @amirul6607 3 года назад

    Thank you sir...

  • @raf1x
    @raf1x Год назад

    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.🤞🤞🤞

  • @ivanova_222
    @ivanova_222 4 года назад

    4:19 Why is 1 negative? I thought its in the third quadrant already?

    • @plplm-n7r
      @plplm-n7r 4 года назад

      because third quadrant have both negative, think it easy as first have all positive, second have a negative go first and a positive go second, next we have quadrant III with all negative and quadrant IV with a positive goes first and then a negative.

    • @plplm-n7r
      @plplm-n7r 4 года назад

      the coordinate goes as (x,y) when x is cosine(cos) and y is sine(sin)

  • @Mark-ri8vn
    @Mark-ri8vn 3 года назад

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

  • @isabellakappel6463
    @isabellakappel6463 4 года назад

    thank you so much