How To Use Reference Angles to Evaluate Trigonometric Functions

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  • čas přidán 13. 10. 2017
  • This trigonometry video tutorial explains how to use reference angles to evaluate trigonometric functions such as sine, cosine, tangent, secant, cosecant, and cotangent with positive and negative angles in radians and degrees.. You need to have a good understanding of right triangle trigonometry, SOHCAHTOA, 30-60-90 triangle and the 45-45-90 triangle. This tutorial contains plenty of examples and practice problems.
    Trigonometry - Basic Introduction:
    • Trigonometry
    Angle of Elevation Problems:
    • Angle of Elevation and...
    Evaluating Trig Functions Given a Point:
    • Evaluating Trigonometr...
    A Simple Way to Remember Trig Values:
    • A Simple Trick To Reme...
    Exact Value of 5 Remaining Trig Functions:
    • How To Find The Exact ...
    ______________________________
    How To Graph Trig Functions:
    • Graphing Trigonometric...
    How To Graph Sine and Cosine:
    • How To Graph Trigonome...
    Evaluating Inverse Trig Functions:
    • Evaluating Inverse Tri...
    Finding The Missing Side of a Triangle:
    • How To Calculate The M...
    Finding The Missing Angle of a Triangle:
    • How To Calculate The M...
    Two Triangle Trigonometry Problems:
    • How To Solve Two Trian...
    _________________________________
    Bearings Vs Direction - Word Problems:
    • Bearings vs Direction ...
    Bearing Problems and Navigation:
    • Bearing Problems & Nav...
    Two Triangle Problems - More Examples:
    • Trigonometry - How To ...
    Trigonometry Final Exam Review:
    • Trigonometry Final Exa...
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

Komentáře • 221

  • @TheOrganicChemistryTutor

    Next Video: czcams.com/video/bm8oYKKlCXI/video.html
    Final Exams and Video Playlists: www.video-tutor.net/

  • @esthershih5575
    @esthershih5575 Před 4 lety +703

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

  • @Lemonade6969
    @Lemonade6969 Před rokem +52

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

  • @RubiMercuri
    @RubiMercuri Před 5 lety +264

    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 Před 4 lety +8

      Howd your exam go

    • @svijayiitk
      @svijayiitk Před 4 lety +6

      Did your exams go well?

    • @enockmboya2323
      @enockmboya2323 Před 4 lety +13

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

    • @wanda9394
      @wanda9394 Před 3 lety +2

      @@enockmboya2323 lol🤣

    • @enockmboya2323
      @enockmboya2323 Před 3 lety +4

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

  • @georgesadler7830
    @georgesadler7830 Před 2 lety +16

    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.

  • @EiliyahK
    @EiliyahK Před 5 lety +7

    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👊🏻

  • @alexismccarrick7458
    @alexismccarrick7458 Před 3 lety +44

    man ur the only person getting me thru math this semester

  • @andrewusvat4579
    @andrewusvat4579 Před 4 lety +4

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

  • @wolfyx22
    @wolfyx22 Před 6 lety +6

    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

  • @koushikibanerjee2805
    @koushikibanerjee2805 Před 2 lety +12

    i still don't get it what the actual hell

  • @babyjanevillanueva4522
    @babyjanevillanueva4522 Před 2 lety +5

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

  • @joancoleman209
    @joancoleman209 Před 4 lety +5

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

  • @simplementepeachy
    @simplementepeachy Před 3 lety +7

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

  • @DrLiangMath
    @DrLiangMath Před 2 lety +4

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

  • @emilyslaughter845
    @emilyslaughter845 Před 4 lety +3

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

  • @jessicaboudreaux1935
    @jessicaboudreaux1935 Před 2 lety

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

  • @josellinedelarosa2166
    @josellinedelarosa2166 Před 4 lety +1

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

  • @penelopeflouras2402
    @penelopeflouras2402 Před rokem

    Extremely helpful video. Thank you so much!

  • @abiespinal9544
    @abiespinal9544 Před 6 lety +2

    Thank you, very helpful

  • @WillCastle
    @WillCastle Před 3 lety

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

  • @anonymousotter6455
    @anonymousotter6455 Před 2 lety +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.

  • @adityaagrawal7336
    @adityaagrawal7336 Před 4 lety +2

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

  • @salimphiri8414
    @salimphiri8414 Před 2 lety

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

  • @mistystar8683
    @mistystar8683 Před 3 lety +6

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

  • @jahlijahman
    @jahlijahman Před 3 lety +6

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

  • @parkerkenney6113
    @parkerkenney6113 Před 9 měsíci

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

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    @cherryflavoured8116 Před 3 lety

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    @otsutsukiboruto8833 Před 2 lety

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  • @Sofia-wx7mf
    @Sofia-wx7mf Před rokem

    yes, perfection - amazing practivce!

  • @ayane.
    @ayane. Před rokem +1

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

  • @RDS-3
    @RDS-3 Před 5 měsíci

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

  • @nevinas3194
    @nevinas3194 Před 2 lety +2

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

  • @daniellaarmah8719
    @daniellaarmah8719 Před rokem

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

  • @jordankerr1
    @jordankerr1 Před 6 měsíci +6

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

    • @RichmoreKabamba
      @RichmoreKabamba Před 3 měsíci

      You need escape velocity bruh

    • @KatherineLee-ds2qn
      @KatherineLee-ds2qn Před 2 měsíci +1

      I hope u got it by now 😭

    • @jordankerr1
      @jordankerr1 Před 2 měsíci +1

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

  • @Magoofi
    @Magoofi Před 2 lety

    Thx so much very helpful video

  • @boogxn
    @boogxn Před 3 lety +9

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

  • @jamaldickson5037
    @jamaldickson5037 Před 3 lety +1

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

  • @zematic_4881
    @zematic_4881 Před 3 lety

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

  • @shaanusahota3912
    @shaanusahota3912 Před 4 lety +1

    sir i love you so much right now

  • @transformearth
    @transformearth Před 2 lety +4

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

  • @ComputerCurry
    @ComputerCurry Před 2 lety +1

    1:34 Why is the hypotenuse always positive?

  • @levixhange7989
    @levixhange7989 Před 2 lety

    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!!

  • @meganblack4387
    @meganblack4387 Před 5 lety +10

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

  • @jolly1125
    @jolly1125 Před 2 lety

    luv you mr organic chemistry tutor

  • @jeffandreisudiacal898
    @jeffandreisudiacal898 Před 2 lety +2

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

  • @rahulmashelkar5128
    @rahulmashelkar5128 Před 2 lety

    Thanks a lot man

  • @gulnora3443
    @gulnora3443 Před 2 lety +6

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

    • @amandawolfe4097
      @amandawolfe4097 Před rokem

      Late but look up Unit Circle and that should help.

  • @crzywaffle
    @crzywaffle Před 3 lety

    You saved my life 💖

  • @maazahemd7947
    @maazahemd7947 Před 2 lety

    Thank you

  • @jimgarden3673
    @jimgarden3673 Před 3 lety

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

  • @amirul6607
    @amirul6607 Před 3 lety

    Thank you sir...

  • @daralchleavheinkiana.1202

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

  • @isabellakappel6463
    @isabellakappel6463 Před 3 lety

    thank you so much

  • @poelow2178
    @poelow2178 Před 4 lety +13

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

  • @insanejulz3488
    @insanejulz3488 Před 2 lety +1

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

  • @Eren.yeagaaa
    @Eren.yeagaaa Před 3 lety +5

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

  • @arvindalramustudent7413

    5:54 when the angle is negative the arrow should be from the first quadrant right?

  • @hiteshrewani8802
    @hiteshrewani8802 Před 2 lety

    Tysm mate

  • @dotollomelanies.195
    @dotollomelanies.195 Před 2 lety

    thank you

  • @mansoorahmad9564
    @mansoorahmad9564 Před rokem

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

  • @tucrrskele
    @tucrrskele Před rokem

    you are the goat bro

  • @ilovewhatisbeyond
    @ilovewhatisbeyond Před 4 lety +1

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

    • @imcorrect9122
      @imcorrect9122 Před 3 lety +1

      Gotta love pearson restating the book's confusing wording lmao

  • @maddog3227
    @maddog3227 Před 4 lety

    Shukran brother

  • @tawfiquehassan3783
    @tawfiquehassan3783 Před 3 lety

    My mentor😌

  • @cesareoespinoza5642
    @cesareoespinoza5642 Před rokem +1

    Where do you get the side lengths from???

  • @joz1ah175
    @joz1ah175 Před 7 měsíci

    Thanks

  • @calebsaheb3159
    @calebsaheb3159 Před 3 lety

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

  • @Abbyerw
    @Abbyerw Před 4 lety +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 Před 4 lety +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.

  • @removeduser3006
    @removeduser3006 Před 2 lety

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

  • @CodeTutor97
    @CodeTutor97 Před rokem

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

  • @novaliepoetries8195
    @novaliepoetries8195 Před 3 lety +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.

  • @theexplainedguy7801
    @theexplainedguy7801 Před 2 lety

    Finally I understand how to find sine cosine of an angle

  • @emperorpalpatine2531
    @emperorpalpatine2531 Před 5 měsíci

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

  • @pranavsadeni6656
    @pranavsadeni6656 Před 3 lety

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

  • @marconetto5653
    @marconetto5653 Před 2 lety

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

  • @hye6158
    @hye6158 Před 4 lety +2

    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 Před 3 lety +1

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

  • @ioleki1571
    @ioleki1571 Před 2 lety +1

    so much better than my teacher

  • @nowitskevin3951
    @nowitskevin3951 Před 5 lety +41

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

    • @jmrc2908
      @jmrc2908 Před 5 lety +2

      Im having the same issue.

    • @user-im8kd4ey5n
      @user-im8kd4ey5n Před 5 lety +6

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

    • @jerryscanas
      @jerryscanas Před 4 lety +5

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

    • @melester2728
      @melester2728 Před 3 lety

      @@user-im8kd4ey5n how’s life

    • @hansrajmanjre1836
      @hansrajmanjre1836 Před 3 měsíci

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

  • @angelatafur4287
    @angelatafur4287 Před 2 lety

    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?

  • @alexnoasa5260
    @alexnoasa5260 Před rokem

    GOSH HE EXPLAİNS SO WELL

  • @ADRELLA400
    @ADRELLA400 Před 2 lety

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

  • @veronicaesther1139
    @veronicaesther1139 Před rokem

    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.

  • @acidicali7776
    @acidicali7776 Před 3 lety +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..

  • @trouvaille8378
    @trouvaille8378 Před 4 lety +1

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

  • @hhlt1101
    @hhlt1101 Před 5 lety +4

    1:23 when should it be negative?

    • @theesurge321
      @theesurge321 Před 5 lety

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

  • @aasports8924
    @aasports8924 Před 8 měsíci

    How about angles thats not land on special triangle?

  • @alyanali6685
    @alyanali6685 Před 4 lety

    Someone explain to me pls isn’t the sin (-135) wouldn’t it be -45

  • @seannavarette1571
    @seannavarette1571 Před 2 lety

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

  • @kevinvarghese8557
    @kevinvarghese8557 Před 3 lety +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

  • @cess6180
    @cess6180 Před 3 měsíci

    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!!❤

  • @manuelissiahrito6917
    @manuelissiahrito6917 Před 8 měsíci

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

  • @removeduser3006
    @removeduser3006 Před 2 lety

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

  • @julianas4502
    @julianas4502 Před 4 lety +1

    Why is the 2 not negative?

  • @zelenimonter4901
    @zelenimonter4901 Před rokem

    1:34 how we know the size of sides?

  • @removeduser3006
    @removeduser3006 Před 2 lety

    how about sin 145 sir??

  • @kenth2432
    @kenth2432 Před 3 lety

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

    • @user-uv5fo6te3e
      @user-uv5fo6te3e Před 3 lety

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

  • @nightwalker4126
    @nightwalker4126 Před 3 lety

    What if it is 2sin?

  • @Mark-ri8vn
    @Mark-ri8vn Před 3 lety

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

  • @raf1x
    @raf1x Před rokem

    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.🤞🤞🤞

  • @charlesbiggus-chinnus5728

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