Trigonometric Functions of Any Angle - Unit Circle, Radians, Degrees, Coterminal & Reference Angles

This trigonometry video tutorial explains how to evaluate trigonometric functions of any angle such as acute angles or special angles. It shows you how to find and use reference angles and coterminal angles to accomplish such a task as well as converting between radians and degrees as needed. This video 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 ...
Evaluate Trig Functions Using Reference Angles:
• How To Use Reference A...
______________________________
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/

Пікірлер: 264

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor6 ай бұрын

    Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

  • @RobertBryantDiloy-lg2li

    @RobertBryantDiloy-lg2li

    4 ай бұрын

    how do we get the 11,60,61? at 4:50 please show me the solutions for it

  • @lance4377
    @lance43773 жыл бұрын

    I love how he explain things so casually in like 3 sentences, easy to understand while my teacher needs to explain a simple concept in 1 hour, 20 minutes per example.

  • @BlastinRope

    @BlastinRope

    3 жыл бұрын

    And then someone asks the dumbest question (its okay btw, not explicitly question shaming) and he takes another hour explaining something that doesnt answer the question

  • @michaelterrell5061

    @michaelterrell5061

    3 жыл бұрын

    @@BlastinRope and instead of not only not answering the question he actually ends up confusing the class more.

  • @sittienorhayamindalano187

    @sittienorhayamindalano187

    3 жыл бұрын

    small mistake makes your answer wrong that's the nature of mathematics

  • @quandaledingleberry5831

    @quandaledingleberry5831

    2 жыл бұрын

    they're focused on the lecture duration than the comprehension of their students, that's how i observe them.

  • @wallgolfing

    @wallgolfing

    2 жыл бұрын

    Jesus Christ is Lord and King and Our Savior

  • @paolavalenciasandoval1739
    @paolavalenciasandoval17395 жыл бұрын

    save me from a whole semester of explanation

  • @seaswallowmex
    @seaswallowmex2 жыл бұрын

    I really didn't understood trigonometry in my high school. And now I'm studying calculus in university. Thanks to this guy, I have understood everything in an hour that I couldn't understand in 6 years .

  • @nurak3716
    @nurak37164 жыл бұрын

    For those looking for unit circle and radians that begins at 28:00

  • @demondoggy988

    @demondoggy988

    4 жыл бұрын

    Thanks god

  • @diegojoaquin5258

    @diegojoaquin5258

    4 жыл бұрын

    @@demondoggy988 hows ur exam?

  • @demondoggy988

    @demondoggy988

    4 жыл бұрын

    @@diegojoaquin5258 haven't had it yet but I missed a few days so I'm prepping up

  • @hpg8477

    @hpg8477

    3 жыл бұрын

    Is that good?

  • @lykeafish2181

    @lykeafish2181

    3 жыл бұрын

    Haha 20 min before exam

  • @GaneshMKarhale
    @GaneshMKarhale5 жыл бұрын

    Thank you for giving us this incredible amount of knowledge. I appreciate your hard work. 💙

  • @nurinnnnnnn
    @nurinnnnnnn2 жыл бұрын

    10:27 my teacher thought us simple way to remember this :) (A)dd (S)ugar (T)o (C)offee -Quadrant I ➡️All +ve -Quadrant II ➡️ only sin +ve -Quadrant III ➡️ only tan +ve -Quadrant IV ➡️ only cos +ve

  • @drkn0

    @drkn0

    2 жыл бұрын

    (A)ll (S)tudents (T)ake (C)ocaine

  • @ripper5941

    @ripper5941

    2 жыл бұрын

    @@drkn0 lmao 🤣

  • @ddahstan6876

    @ddahstan6876

    2 жыл бұрын

    @@drkn0 "A"ll "S"tudents "T"ake "C"alculus when I had it. But Things change nowadays... LOL. But I have to admit Add Sugar To Coffee's the easiest to recall... so is Add Students To Class ;-)

  • @popularsandwich_

    @popularsandwich_

    2 жыл бұрын

    All Science Teachers are Crazy

  • @jakhongirm8253
    @jakhongirm8253 Жыл бұрын

    (14:00) in this scene of the video, when we rationalize -2/sqr(13), it becomes -2sqr(13)/13 NOT -2sqr(13)/3

  • @diegomartinez530

    @diegomartinez530

    9 ай бұрын

    ok i had to double check like 3 times LOL

  • @Chomkin

    @Chomkin

    7 ай бұрын

    oml, I been trying to figure out how he got 3 for like 30 minutes. Glad to know that I was already right in the first place

  • @curtisgroce973

    @curtisgroce973

    3 ай бұрын

    thank u I was confused lol

  • @ausernamethatstotallyorigi1442
    @ausernamethatstotallyorigi14423 жыл бұрын

    Thx I’m writing an exam in 2 hours and 47mins and I think I’m just a bit more ready now :’)

  • @senyorhatdog1265
    @senyorhatdog12654 жыл бұрын

    This channel is the only online class I approve and probably gonna learn from.

  • @-_....-stars-...._-

    @-_....-stars-...._-

    Ай бұрын

    love your pfp

  • @heidirivera9457
    @heidirivera94573 жыл бұрын

    You have no idea how much time you’re saving me from relearning everything even if my professor had just explained it. My finals are coming up but he teaches it in a way where there is no explanation given just examples. I love the way you teach and explain I have been watching your videos a lot more should have started earlier though.

  • @ddahstan6876
    @ddahstan68762 жыл бұрын

    What a great review to watch!! I'm making so much "neuro-connections" to trig than ever before... Thank You, The Organic Chemistry Tutor.

  • @wahidyak
    @wahidyak4 жыл бұрын

    Having exams in the morning and you just saved me. Thanks

  • @aluongagok7125
    @aluongagok71254 жыл бұрын

    U just relieved me from overthinking about the formula SOHCAHTOA, thank u so much

  • @MSom28
    @MSom284 жыл бұрын

    I'm taking uni calc right now and highschool was almost a decade ago so the lectures I've gone to so far have felt like gibberish to me but I feel like your channel is going to be super helpful so thank you so so much! ! You are amazing! You really are a god send! Love your channel so much!

  • @allahm-ast3mnlywlatstbdlny164

    @allahm-ast3mnlywlatstbdlny164

    3 жыл бұрын

    Gl with that

  • @tigera1401
    @tigera14016 жыл бұрын

    Thank you so so much, you made it so much easier and clear. You are doing so well, keep up the videos brother!!

  • @johnsonchuksalisi5893
    @johnsonchuksalisi58933 жыл бұрын

    Thank you very much for your help with this. I think I understand it better now. I have been watching many of your videos and they are really helping me. GOD BLESS YOU and keep it up.

  • @darisdaris1
    @darisdaris15 жыл бұрын

    Super clutch, not failing the math test anymore

  • @allahm-ast3mnlywlatstbdlny164

    @allahm-ast3mnlywlatstbdlny164

    3 жыл бұрын

    Ameen

  • @akajambron5109
    @akajambron51095 жыл бұрын

    Thx!Your vids are better than my uni‘s recordings!

  • @Eli-hh4bu
    @Eli-hh4bu2 жыл бұрын

    Thank you so much!! you have been extremely helpful for my class this semester. You're the only reason I pass my tests!

  • @aidangibo9413
    @aidangibo94132 жыл бұрын

    Oh my god, because of the way he explains everything in trigonometry I get what my teacher is saying. Thanks a lot

  • @skandakarra8211
    @skandakarra8211 Жыл бұрын

    Before I watched this video, I was so confused on how to solve these problems with the unit circle and triangles, but this video goes step by step easily😊! Could you please make another video on how to solve problems that cannot be easily found with reference angles, the unit circle, etc.?

  • @georgesadler7830
    @georgesadler78306 ай бұрын

    Professor Organic Chemistry Tutor, thank you for an excellent video/lecture on Trigonometric Functions of Any Angle- Unit Circle, Radians, Degrees, Coterminal and Reference Angles. Learning Trigonometry starts with these classical Transcendental Functions and how they relate to the Unit Circle. Thanks to the viewers for finding and correcting the error(s) in this video.

  • @silvesterbaraka
    @silvesterbaraka3 жыл бұрын

    since then i attended this for the first time, i love watching this always and it is helful.

  • @taiedy
    @taiedy6 жыл бұрын

    it should be [-2sqrt(13)]/13 and not [-2sqrt(13)]/3. Small mistake.

  • @terenceong5208

    @terenceong5208

    5 жыл бұрын

    Yep

  • @shukkkursabzaliev1730

    @shukkkursabzaliev1730

    5 жыл бұрын

    14:40

  • @encore4818

    @encore4818

    5 жыл бұрын

    Yep

  • @seanpaoloeniceo6383

    @seanpaoloeniceo6383

    5 жыл бұрын

    Thank god i came to the comment section

  • @YonikMalik

    @YonikMalik

    4 жыл бұрын

    Thanks for mentioning this! I got so confused and now I see its just a human mistake

  • @Maryam-bs2wd
    @Maryam-bs2wd4 жыл бұрын

    thank you so much ! I wish you were my actual teacher

  • @vintran9777
    @vintran97773 жыл бұрын

    Your videos helps a lot. Thank you.

  • @M4thnet
    @M4thnet2 жыл бұрын

    Excellent. Very inspiring. Thank you.

  • @wonton3895
    @wonton38953 жыл бұрын

    AMAZING VIDEO! THANK YOU SO MUCH!

  • @acyelle_8094
    @acyelle_80942 жыл бұрын

    Our final exam is on Monday and This vid really help me a lot just wanted to say Thank You! Your really great than our Math teacher tho.

  • @khushmanmahal7177
    @khushmanmahal71773 ай бұрын

    bless your heart you are God sent!! your videos help me out with so much

  • @sahlmon478
    @sahlmon4785 жыл бұрын

    Very helpful than my teacher

  • @arulzain9073
    @arulzain90735 жыл бұрын

    Very Helpful

  • @Angiebee.
    @Angiebee.2 жыл бұрын

    This is so helpful! THANK GOD

  • @tioloitu
    @tioloitu3 жыл бұрын

    Thank youuuu very much. May god bless you abd give you guide :)

  • @whynot1135
    @whynot11355 жыл бұрын

    thank you sooo much men i hope you will get your donations someday your dah best

  • @Glokk40Chris
    @Glokk40Chris11 ай бұрын

    these vids are perfect Brodie, TYSM

  • @elvisjrmubanga1422
    @elvisjrmubanga14222 жыл бұрын

    Thank you sir we really appreciate your work

  • @suayipfarah7619
    @suayipfarah76194 жыл бұрын

    thanks bro very useful video i appreciat it

  • @Jazzenova
    @Jazzenova2 жыл бұрын

    think of the quadrants as CAST where Q1 is A=all, Q2 is S=sin , Q3 is T=tan and Q4 is C=cos. This helps me remember.

  • @cut-throat3056
    @cut-throat30564 жыл бұрын

    Gg love everything but 14:02 it should be over 13 ✌🏾

  • @jihohsrz3039

    @jihohsrz3039

    3 жыл бұрын

    thank you, i thought i was just an idiot that can't figure out why it was 3,,

  • @ricamaefernandez2816

    @ricamaefernandez2816

    3 жыл бұрын

    @@jihohsrz3039 same

  • @trinitycummings4281

    @trinitycummings4281

    2 жыл бұрын

    Thank u

  • @ZeroTwo00002
    @ZeroTwo000028 ай бұрын

    I can't imagine world without you.

  • @JoelasKun
    @JoelasKun Жыл бұрын

    thank you man this really helps me :)

  • @zacharycornman977
    @zacharycornman9773 жыл бұрын

    Thank you for your videos man

  • @user-bv5sq9dy7w
    @user-bv5sq9dy7w3 жыл бұрын

    Thank you so much 😊

  • @misschewe4340
    @misschewe43403 жыл бұрын

    Thank you so much for this

  • @jorlinmarantejr.5067
    @jorlinmarantejr.50673 жыл бұрын

    3 weeks with 3 days and 2 hr long lectures and only needed a 1 hr video to actually understand. Good lord teachers should just play this video for one lecture and that's it, save everyone time.

  • @bukkyamos7946
    @bukkyamos79462 жыл бұрын

    I love you explain carefully

  • @koushaku15
    @koushaku155 жыл бұрын

    Thank you!

  • @blakebarrus5312
    @blakebarrus53125 жыл бұрын

    Great vid.

  • @F.I_tv
    @F.I_tv Жыл бұрын

    I use a more friendly one by saying 9:50 All Students Take Cab So All-first quadrant (all is positive) Student- second quadrant (sine is positive) Take- third quadrant (tan is positive) Cab-fourth quadrant (cos is positive)

  • @randomcubing7106
    @randomcubing71063 жыл бұрын

    *THANK YOU*

  • @randallmcgrath9345
    @randallmcgrath93453 жыл бұрын

    You might as well write your own textbook too because your examples always seem better than my book.

  • @srijanampally
    @srijanampally2 жыл бұрын

    life saver!

  • @d.buchko4270
    @d.buchko4270 Жыл бұрын

    Thanks!

  • @vrod9814
    @vrod98145 жыл бұрын

    Thank you very much, I now I understand what to do for my upcoming exam!

  • @lovlee8645
    @lovlee86455 жыл бұрын

    Im so glad my tcher let us write this formula on an index card

  • @neuropsychopharmacologisti4340
    @neuropsychopharmacologisti43407 жыл бұрын

    this video is so informative, thank you !!!

  • @vincentsanpedro8156
    @vincentsanpedro81564 жыл бұрын

    Please teach us how to use Abacus and mental abacus

  • @kayr.4139
    @kayr.41395 жыл бұрын

    38:00 reference angle

  • @salvadormatos9257

    @salvadormatos9257

    5 жыл бұрын

    Kay R. 36:00

  • @alicechalwe2245
    @alicechalwe22456 жыл бұрын

    Thanks

  • @buthan8451
    @buthan84513 жыл бұрын

    Superb.

  • @aiawippie
    @aiawippie8 ай бұрын

    okey but like, why is this dude's voice so calming-

  • @Wow-bb4rx
    @Wow-bb4rx5 ай бұрын

    yes this is great

  • @narcotic_necromancer431
    @narcotic_necromancer4312 жыл бұрын

    Thank you

  • @hdfutbal5180
    @hdfutbal5180 Жыл бұрын

    Bro I don't know who you are but you are a life saver....thank you and God bless you for this

  • @hinaojenamo8101
    @hinaojenamo81016 жыл бұрын

    Thank you, you are the best

  • @eliya7864
    @eliya78644 жыл бұрын

    thank you sm

  • @lzk_official5122
    @lzk_official51222 жыл бұрын

    Thank you :)

  • @Alex-rv8ql
    @Alex-rv8ql3 жыл бұрын

    I do like this position.

  • @shalommakwinja1855
    @shalommakwinja1855 Жыл бұрын

    You're amazing

  • @brandonmitchell6776
    @brandonmitchell67763 жыл бұрын

    How do you get 3 on 14:02? Should it be 13 instead of 3 when you multiply the square-root of 13?

  • @hinasofy229

    @hinasofy229

    3 жыл бұрын

    He made a mistake

  • @mal_k.07

    @mal_k.07

    3 жыл бұрын

    yes yes its okay everyone makes mistakes

  • @LheannMichelleFlorento-xc7ux
    @LheannMichelleFlorento-xc7ux3 ай бұрын

    Bro is the type of guy who dont yap about math while my future calculus teacher yapping for over 3 hours

  • @Engineering-To-Infinity
    @Engineering-To-Infinity2 жыл бұрын

    13:58 got me questioning myself, it must be a mistake.

  • @kieee394
    @kieee3947 ай бұрын

    4:53

  • @francise.j.verzosa710
    @francise.j.verzosa7104 жыл бұрын

    Salamat po :))

  • @Anya-ou3tk
    @Anya-ou3tk3 жыл бұрын

    I learned some of those in 9th grade

  • @tishatupaz5349
    @tishatupaz53493 жыл бұрын

    How do you find sin A and Sin B, cos A and cos B, and tan A and Tan B?

  • @hagioso
    @hagioso Жыл бұрын

    In 13:55 it’s supposed to be -2 sqrt of 13 over 13

  • @yallamoro6781
    @yallamoro67815 ай бұрын

    THIS GENTLEMAN IS EVERY STUDENT’S HERO 🦸‍♂️ 🫡

  • @kriseros6794
    @kriseros67942 жыл бұрын

    Is theta always gonna be close to x and y axis?

  • @faisalmohamed4595
    @faisalmohamed45958 ай бұрын

    I think at 22:59 its 12.041 if we use a2+b2=c2

  • @pagodnako
    @pagodnako Жыл бұрын

    POV: ubos ang 3 hours mo every class session tapos wala kang natutunan pero nagets mo agad nung napadpad ka kay daddy Org HAHAHAHAHAHAHAHAHA

  • @maztahtee363
    @maztahtee3633 жыл бұрын

    saved me

  • @joaquincordova6666
    @joaquincordova66663 жыл бұрын

    thank you lodicakes...u...

  • @Solving-Together
    @Solving-Together4 жыл бұрын

    What if I only have one side as a given? I encountered this in a activity yesterday.The given was tan = square root of 5 ( that makes it the opp, am I right? ). Using TOA is it alright if I assume that the adj is 1 ( if I assume it as [square root of 5/1] )?

  • @awkwardrainbowpotato5620

    @awkwardrainbowpotato5620

    3 жыл бұрын

    I know that this comment is a year old, but for the sake of other people that might be looking for the same answer. Yes, that would be correct.

  • @Solving-Together

    @Solving-Together

    2 жыл бұрын

    @@awkwardrainbowpotato5620 still, thank you.

  • @BlancSal
    @BlancSal2 жыл бұрын

    32:39 While this video is older I don't see the reason to do this round about way to get to the answer, doing 180/9 = 20, so then you can do 5 * 20 * 9/9, then 5 * 20 = 100, same amount of math but a less painful way imo

  • @deckou8317
    @deckou83172 жыл бұрын

    13:58 the right answer is -2√(13)/13 not -2√(13)/3 it's just a small human mistake

  • @exr88558

    @exr88558

    2 жыл бұрын

    Thank you!

  • @keyzsawake353
    @keyzsawake3534 жыл бұрын

    This should be how the school teaches not the way they teach at the moment which just making simple things complex but useless. F

  • @sweetpyscho2002
    @sweetpyscho20025 жыл бұрын

    Why is it over 3 😂 -2squareroot of 13 over 3

  • @mattmcgrew3291

    @mattmcgrew3291

    5 жыл бұрын

    yeah what lol confused and came down here

  • @betomaldonado2933

    @betomaldonado2933

    5 жыл бұрын

    It was probably a mistake?

  • @YonikMalik

    @YonikMalik

    4 жыл бұрын

    It was a mistake it should be 13 cuz the square roots cancel out

  • @kurtguile752
    @kurtguile7523 жыл бұрын

    in 14:01 why the answer is -2 square root of 13 over 3 if it is -2 square root of 13 over 13

  • @mal_k.07

    @mal_k.07

    3 жыл бұрын

    yes yes but hey everyone makes mistakes am i right he maybe got confused or wrote a wrong number but its okay mistakes do happen

  • @jamieferrer3269
    @jamieferrer32692 жыл бұрын

    Trigonometry: The Movie

  • @mastr.ninebo
    @mastr.ninebo Жыл бұрын

    yessir ✍🏾

  • @Sanquezo
    @Sanquezo2 жыл бұрын

    Can someone help me please? I have a question. At 13:55 he says "-2(root13)/3" Where does the 3 come from?

  • @kas.razi_
    @kas.razi_3 жыл бұрын

    I. LOVE. YOU

  • @arwenvelasquez3452
    @arwenvelasquez34522 жыл бұрын

    how about if sin theta is = 2/5 and theta is in quadrant II.. find csc theta and tan theta.. help please..

  • @adityap613
    @adityap6135 жыл бұрын

    ily

  • @Ai4698
    @Ai46985 жыл бұрын

    51:10 sin is root 3 / 2 and cos is 1 / 2, tan is sin/cos. So the answer is - root 3

  • @faisalmohamed4595
    @faisalmohamed45958 ай бұрын

    30:00

  • @printhaasinykrishnan7192
    @printhaasinykrishnan71922 жыл бұрын

    If the radical is at the top, it mustn't be rationalized?