Verifying Trigonometric Identities

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  • Опубліковано 5 січ 2025

КОМЕНТАРІ • 659

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  3 роки тому +97

    Trigonometry - Free Formula Sheet: bit.ly/47diggI
    Full 1 Hour 42 Minute Video: www.patreon.com/MathScienceTutor
    Direct Link to The Full Video: bit.ly/3DwHffB
    Trigonometry Video Lessons: www.video-tutor.net/trigonometric-identities.html

  • @winterlilac1881
    @winterlilac1881 9 місяців тому +161

    After struggling with this for a week, I said to myself, "Maybe the organic chem guy has a video. He has videos on like everything." Lo and behold, it's the first search result. I'm always amazed by the depth of knowledge and skill on this channel. Infinite thanks from a college student just trying to pass their precalc class!

  • @coltonstankovits5759
    @coltonstankovits5759 4 роки тому +4935

    I read the title as “Terrifying Trigonometric Identities”

  • @dine7085
    @dine7085 3 роки тому +820

    Eversince online classes started, I'd always go to this channel to learn more about our Pre-Calculus subject and I've been getting pretty high grades. Thank you!

    • @hongli9803
      @hongli9803 3 роки тому +4

      Better keep watching during calculus subjects too, it helps alot

    • @BootyRealDreamMurMurs
      @BootyRealDreamMurMurs 3 роки тому +6

      @@hongli9803 would do that, our calculus teachers isnt great at teaching it

    • @ronreypaulpolinar8555
      @ronreypaulpolinar8555 3 роки тому +12

      Sanaol pretty high grades, all I get is pretty high blood pressure

    • @rexlapis61yearsago5
      @rexlapis61yearsago5 2 роки тому +2

      Imagine paying for a school to teach you just to learn more on a free app

    • @wanga_1098
      @wanga_1098 2 роки тому +1

      Out here crying in calculus 😭😭😭😭😭

  • @Jessicathebright
    @Jessicathebright 4 роки тому +177

    mans be getting 1.5k views in mere hours and 2.58 million subscribers using comic sans. he has bested the algorithm and now he reigns supreme, free to use comic sans wherever he pleases

  • @daylight1440
    @daylight1440 3 роки тому +67

    i think it's your voice that calms me down and how you explain out every little thing instead of talking fast and merging steps together. You are the best teacher out there

  • @sasugamegami5113
    @sasugamegami5113 10 місяців тому +280

    "Is not a very easy topic" when this line comes from this guy, you know you're doomed

    • @belle369
      @belle369 8 місяців тому +8

      Just thought the same thing and I have a quiz on this tomorrow 😭

    • @KalanaNethsara
      @KalanaNethsara 8 місяців тому

      @@belle369 how'd you do?

    • @nomadicstrength
      @nomadicstrength 8 місяців тому +4

      @@belle369 bro I got a trig final tomorrow, shit be scary

    • @maevizzz
      @maevizzz 8 місяців тому +1

      @@nomadicstrength how'd it go?? i have mine tmrw

    • @nomadicstrength
      @nomadicstrength 8 місяців тому +10

      @@maevizzz it went really bad. The class average was a 58, I got a 52. Came outta the class with a C. It wasn't hard per se so much as the fact there were 50 percent more questions but the same 110 minute time limit. The whole class was still there taking the test after ten minutes over time. Instructor has to kick us all out.

  • @amessman
    @amessman Рік тому +16

    Nothing the comments don't say already... Your videos have once again been my secret weapon when it comes to mastering a topic I had no clue about just minutes ago.
    Watching this a couple hours before a Trig exam and now feel confident enough to take it.

  • @irisgirl86music14
    @irisgirl86music14 4 роки тому +358

    Thank you, your videos have been a lifesaver for math this year. Unfortunately the instruction I'm receiving at school this year contains limited examples and my teacher isn't exactly the best at explaining and often tends to jump around on notes which means I get lost easily, plus we're learning a whole year's content in like 9 weeks and it's a cram. Again, thank you so much for making those videos, I love how you give lots of examples and explain in a step by step manner which I really miss
    from last year's teacher.

    • @Alex-wn8qh
      @Alex-wn8qh 3 роки тому +8

      Do u go to my school yo

  • @yoshzumi
    @yoshzumi 3 роки тому +14

    i am panicking a day before my test that I couldn't solve simple questions like these. But now, I can solve some tough questions from my textbook. Thank you so much! You are a life saver!

  • @laure6623
    @laure6623 2 роки тому +11

    Cramming for our quiz and I actually didn't learn anything from my teacher. My head aches looking at those things on the board and I thought I couldn't understand anything and thay I wouldnt understand a thing. Although I'm a bit late with the lesson, i would still want to thank you cuz you're saving my life.

  • @ekon7557
    @ekon7557 3 роки тому +62

    The amount of pain and confusion with this topic is off the charts, I had this test and while I was doing the test I was damn confident about my answers but then the results came and I had like 3 items done correctly, This video really helped me

  • @stickshiftstarship
    @stickshiftstarship 2 роки тому +8

    In class this was so frustrating I almost cried. But for the first two examples I paused the video and did exactly what you did. I feel a lot better now.

  • @onlylonelystars9268
    @onlylonelystars9268 3 роки тому +5

    THANK GOD FOR THIS VIDEO!!! I was struggling with this concept for DAYS and a 24 minute video answered absolutely every question I had. Curse you, K12!

  • @Kaonashimusic
    @Kaonashimusic 4 роки тому +335

    i thought the title was "Terrifying Trigonometric Identities" 😂

  • @hellod4036
    @hellod4036 3 роки тому +521

    Having a test in less than 20 minutes and I’m watching this 😆

    • @jaymark3237
      @jaymark3237 3 роки тому +9

      Jack Rollo how did you do?

    • @jaymark3237
      @jaymark3237 3 роки тому +19

      Jack Rollo nice I just got an 85 on mine

    • @jaredr9469
      @jaredr9469 3 роки тому +31

      mine is tomorrow and I don't understand it one bit

    • @jaymark3237
      @jaymark3237 3 роки тому +25

      @@jaredr9469 watch this video like 6 times

    • @J-wm4ss
      @J-wm4ss 3 роки тому +23

      I have a test tomorrow and I'm so bad at these aaaaa

  • @MC-eq7pi
    @MC-eq7pi 3 роки тому +13

    THIS VIDEO WAS A LIFE SAVER!!! helped me gain confidence knowing I could make mistakes and have the questions and errors I made be explained!!! ever since I started watching and doing the practice problems in the video my math test grades have gone from 70s and 40s to 95s and 100s!!!!!

    • @omerdusegaming4722
      @omerdusegaming4722 2 роки тому +1

      why is it such a broad range lol

    • @MC-eq7pi
      @MC-eq7pi 2 роки тому +1

      E-learning was rough lol 😭😭😭

  • @Hambxne
    @Hambxne Місяць тому +6

    For the last problem at 23:54 you can solve it quicker if you just convert tan(x) to sin(x) / cos(x) and then the top becomes sin^2(x) and you are done.

    • @lisakanzira6765
      @lisakanzira6765 Місяць тому

      That's what I did!! Is it still correct???

    • @Hambxne
      @Hambxne Місяць тому +1

      @@lisakanzira6765 Yes! As long as both sides are equal in the end it is correct.

    • @lisakanzira6765
      @lisakanzira6765 Місяць тому

      @@Hambxne YAYYYYY

    • @MuzitiJuniour
      @MuzitiJuniour 15 днів тому

      After sin^2x/cosx then what

  • @Fanchen
    @Fanchen 4 роки тому +20

    Man I wished I discovered you few years back. Keep up the good work.

    • @slok5644
      @slok5644 2 роки тому +1

      the legend himself

    • @felizy1
      @felizy1 Рік тому

      probably because it was mediocre no offense

  • @giahypham4111
    @giahypham4111 4 роки тому +59

    Hey just here to say thank you for all the contents that you do. I passed my calculus course last semester, and it’s all thanks to your explanation. Wish you the best this year!

  • @nicoyreid1003
    @nicoyreid1003 3 роки тому +15

    0:08 you know it hard when he says it is💀💀💀

  • @tawandadevera1954
    @tawandadevera1954 Рік тому +12

    What a clear explanation.You have been sent on Earth to make students life easier.I thank you from the bottom of my heart

  • @DPBeats_01
    @DPBeats_01 3 роки тому +2

    The Best EXPLANATION EVER. Not even my professor, explain like that. Thank you very much!

  • @fakegamer5861
    @fakegamer5861 Рік тому +1

    i cannot explain how joyous I am! i was unable to understand this for a year. my teachers and friends taught me many time but this man made it possible for me. And its my exam day when i watched this video. Thanks man

  • @Hrishi1717
    @Hrishi1717 4 роки тому +16

    This channel is my one stop for learning all I want 💜💜

  • @blessingxhakaza5439
    @blessingxhakaza5439 4 роки тому +20

    Thank you so much for this, I actually have a Trigonometry Exam tomorrow. This has made things very vivid. 😩

  • @serayne2577
    @serayne2577 9 місяців тому +3

    you deserve the world and more
    thank you

  • @georgesadler7830
    @georgesadler7830 3 роки тому +5

    MR. Organic Chemistry Tutor, thank you for a monster lecture on Verifying Trigonometric Identities in Trigonometry. These videos are fun to watch.

  • @Murk.mp4
    @Murk.mp4 3 роки тому +59

    never knew this was a recent upload. shows how timeless his stuff is xD

    • @char6081
      @char6081 11 місяців тому +2

      That makes no sense

  • @Mostmedia2801
    @Mostmedia2801 3 місяці тому

    This 25 minutes video is better than some wasted years of trying to understand these concepts. Thank u Mr Sir for shading more light on this.

  • @brendasandra3030
    @brendasandra3030 8 місяців тому +4

    Thanks for being the best teacher ever ..on behalf of Africa 🌍

  • @aanchalroy9585
    @aanchalroy9585 4 роки тому +13

    Thank you so much. I was literally revising the concepts from the old videos. You are doing a great job👍

  • @calvinnguyen1097
    @calvinnguyen1097 3 роки тому +6

    what an amazing video this is one of the hardest concepts i've learned thus far

  • @TequalHC
    @TequalHC 2 роки тому +62

    This in Trig has no reason to exist.

  • @gilbertgadon6271
    @gilbertgadon6271 Рік тому +1

    Your a life saver man hope you help any other persons who's suffering from self study like me

  • @StuffdaAnimal
    @StuffdaAnimal Рік тому +1

    This Video is a lifesaver!! Thank you so much!! I've been struggling for a couple weeks now and your video explained everything I needed to know in easy to understand steps.

  • @Alenaexists
    @Alenaexists 2 місяці тому +2

    THANK YOU!! My Precalc grade hasn’t been the best and I need to understand this to bring it up, and your practice has been SOO helpful! Thank you!! (Im gonna get that A- at the end of this marking period if it kills me lol)

  • @kluivertcleoneroedesantama7931
    @kluivertcleoneroedesantama7931 2 роки тому +1

    O My God, you are truly The GOAT of making things simpler and easier to understand 💯, somebody give this dude an award🥳

  • @kelechiosuji5705
    @kelechiosuji5705 2 роки тому +1

    not gonna lie this was hard for me in class immediatly i watched ur vids it became simple! thanks so much!

  • @lily-vl9bo
    @lily-vl9bo Рік тому +1

    this video has literally saved me in ap precalc thank you 😭😭🙏🙏

  • @phiyahfit
    @phiyahfit 3 роки тому +6

    This was great thank you. Between math science guy and you now I understand trig identies/properties! Its actually fun its like a puzzle

  • @jlk4894
    @jlk4894 2 роки тому +109

    Would be appreciated if you did one about simplifying trig expressions. Been kinda confusing and difficult finding a way to rewrite problems while having no idea if I'm doing it right

  • @sirman6381
    @sirman6381 18 днів тому

    The goat on his way to save me for midterms. Thank you

  • @star1-252
    @star1-252 2 роки тому +15

    Just know everyone you should always look at the hardest side and not just the left or the right. it's very easy to get stuck if you go with left or right not the side that is hard. Anyways just pointing that out. :)

  • @is_daph3350
    @is_daph3350 3 роки тому

    Thank you sir 😭u're my savior.
    I have an exam is some minutes and I had no ideas how to solve this. N u just saved me.
    Thank you very much. God bless u sir 😭🙏

  • @davidharrinandan7058
    @davidharrinandan7058 3 роки тому +2

    you are the boss i love it I am preparing for university and with this you boost my confidence thanks bro

  • @oxpie
    @oxpie 3 місяці тому +1

    13:06
    In question 5 it'd be easier if you take the more complex side of the equation and simplify it, I'm speaking this with prior experience and if you do that here is what you get:
    Sin(x) Tan(x) = (1-cos²(x)) / cos(x)
    => Sin(x) Tan(x) = sin²(x)/cos(x) - since 1-cos²(x) = sin²(x)
    => Sin(x) Tan(x) = sin(x) × sin(x)/cos(x) - simplifying the square on sin(x)
    => Sin(x) Tan(x) = sin(x) × tan(x) - since sin(x)/cos(x) = tan(x)
    Q.E.D

  • @englishlife5838
    @englishlife5838 4 роки тому +16

    I wish u a good life🌹
    You have been great since the start of your channel.

  • @UltraWave-do3ig
    @UltraWave-do3ig Рік тому +1

    Thanks for starting from the left hand side I understand it better

  • @johnnysanchez9284
    @johnnysanchez9284 3 роки тому +15

    You are invited to my graduation party this weekend!

  • @shaunske2568
    @shaunske2568 2 роки тому +1

    I have a really good teacher but I was out for exams and missed this stuff and got lost but this video got me up to pase for free thx so much I'm willing to pay next time I'm struggling

  • @wrldofjuice9994
    @wrldofjuice9994 Рік тому

    My teacher made this look sooo complicated......
    This guy makes it so easy.... 👏👏

  • @tambamelvin3796
    @tambamelvin3796 4 роки тому +8

    Thanks so kindly Sir
    you're really saving lives out here.

  • @sachinthanaadikaram7367
    @sachinthanaadikaram7367 2 роки тому

    You know we all arrive few minutes before an exam and here I am The mighty Exam savior you deserve more than 20mil subscribers

  • @honggiie1861
    @honggiie1861 Рік тому

    omggg, i'm so happy after this video. I've been so confuse bout those nonstop and now i finally understaanddd!!! thank youu!!

  • @isaiahhiggins
    @isaiahhiggins 3 роки тому +1

    I have a trig identity test today, feeling much more confident after watching this!

  • @justinedvm
    @justinedvm 3 роки тому +4

    wowww, i am really struggling in this topic. if only i watched this video a little sooner!! thank you for making complicated thigs simple

  • @frankegordon326
    @frankegordon326 4 роки тому +9

    Right when I needed it, thank you perfect timing

  • @macandbeef6754
    @macandbeef6754 8 місяців тому

    I love you chemistry tutor. Verifying trig identities was really simple after watching this.

  • @JayM705
    @JayM705 3 роки тому +3

    Thank you sir. I was lost until this video. Great job explaining it. Cheers!!!!

  • @dequaviontavious
    @dequaviontavious 3 роки тому +66

    Is this the same thing as *_"Proving"_* trigonometric identities?

  • @crescentmoon0703
    @crescentmoon0703 3 роки тому +10

    I am so happy that I encountered this video. I have a test upcoming, and I had no idea what I was listening to in class. The problem was I understand it, but then I had trouble solving it. I did so much research on just Trig Id. This video made sense to everything! Thank you so much for making a video on it. I just wish it would show how to turn trig id into numbers. Does anyone know how to do so?

    • @thee_pauline
      @thee_pauline Рік тому

      ua-cam.com/video/T7D1W1oD8wo/v-deo.html
      Try watching that

  • @joseph_3570
    @joseph_3570 3 роки тому +7

    This video was very good. Thank you for your help.
    By the way, I used to have a teacher who taught this lesson using analogies that don't make sense. She refers to factoring as "chopsticks and a bowl" and refers to multiplying by the conjugate as "chunky one". Weird right?

  • @AK-op4be
    @AK-op4be 3 роки тому +2

    THANK YOU, I was struggling so hard but then I used this as practice & I was able to finish my hw 😭

  • @princesselvinjeantabian7836
    @princesselvinjeantabian7836 2 роки тому +2

    Mr. Organic Tutor i salute you and your skills in helping us. Thank you so much ❤️

  • @captainfordo1
    @captainfordo1 4 роки тому +12

    This was extremely helpful! Thanks so much

  • @gilsdump4855
    @gilsdump4855 2 роки тому +7

    22:59 in this problem, can we instead change the right side of the equation after changing the left so that it matches in the end? or will it be wrong because we already chose to do the left to make it equal to the right side? we can change the tan(x) to sinx/cosx and then multiply it to the sinx beside it. that makes it the same to the left side of the equation.

    • @noahgodsonagbele7345
      @noahgodsonagbele7345 2 роки тому +2

      Proving Trig Identities do not have one approach. The goal is to prove the equality of the left and right sides. Therefore, as far as you are able to apply the identities and algebra to prove that the right side is equal to the left side, you should be ok.

    • @gilsdump4855
      @gilsdump4855 2 роки тому +1

      @@noahgodsonagbele7345 right. thanks!

    • @MovingON-r6j
      @MovingON-r6j 2 роки тому

      Yeah I was wondering that too cuz I got sin^2/cosx = sin^2/cosx instead of the other way around

  • @Amey...
    @Amey... 4 роки тому +4

    Really the best channel for studies.

  • @bon3xprod
    @bon3xprod 24 дні тому

    17:55 ... 1-cos^2(x) 1-cos^2(x) 1-cos^2(x) 1-cos^2(x) 1-cos^2(x) 1-cos^2(x)

  • @abishekrathnakumar4089
    @abishekrathnakumar4089 Рік тому

    Watching this for my first Mathematics module at uni, Without passing this we are not able to moveto second year.... If I reach my Scientist dreams one day I owe it to you man... I will come back in 5 years😍🥰

    • @hackgamedu5987
      @hackgamedu5987 Рік тому

      Bro we learn this in college in France lmao

  • @Bruhloni
    @Bruhloni 3 місяці тому

    Why is entry level math always so perfect like really all we have to do is follow a formula and always will get the answer

  • @dn_valentinee
    @dn_valentinee 9 місяців тому

    lord bless and keep you bro 🙏🏻 i was COOKED for my test tomorrow. not anymore.

  • @dianaabdulrasyid4766
    @dianaabdulrasyid4766 3 роки тому +1

    Thank you. I don't know how to ask my teacher and your vids are so much helpful.

  • @h3llomahdude216
    @h3llomahdude216 4 роки тому +3

    Delivered when needed the most...thanks again

  • @emmaelwell9325
    @emmaelwell9325 2 роки тому +2

    this helped me understand this so much better!! thank you☺️

  • @Sometimes2242
    @Sometimes2242 Рік тому

    Thanks!

  • @daigdiganvindanieller.3575
    @daigdiganvindanieller.3575 4 роки тому +2

    What you are still uploading??? I’m impressed.

  • @emmanuelinambaokatukula3893
    @emmanuelinambaokatukula3893 3 роки тому +2

    The tutorial is very much helpful to students.keep up man.

  • @brianjohnson7513
    @brianjohnson7513 Рік тому +1

    I searched tons of videos for the pre requisite for this which is 7.1 (fundament identities) this is 7.2 what helped me was just practicing questions over and over, to me 7.1 is harder to grasp then 7.2. So to anybody reading this go practice 7.1 questions once you get to this it’ll be a lot more easier to understand

    • @mr.pepper9242
      @mr.pepper9242 Рік тому

      this is me 😅I couldn’t find his video on the topic of 7.1 so I skipped to 7.2 Ima go try 7.1 now I have a test in two days 😶

  • @shaniadeniselozares147
    @shaniadeniselozares147 Місяць тому

    My teacher didn't teach me this, so here I am. He's such a F+ teacher tbh

  • @Tom-xy9gb
    @Tom-xy9gb Рік тому +1

    I was happy seeing it was 24:50 for the whole lesson till the patreon link popped up showing verifying trigonmetric identities is 1 hr 42 min :(

  • @katherinejenny4799
    @katherinejenny4799 2 роки тому +2

    Thank you so much!! This is the best video on the topic!! You are an incredible teacher and keep it up!! :))

  • @fortunechanda2516
    @fortunechanda2516 3 роки тому +3

    Thank you I've learned a lot today 🙃

  • @matematikapinoy9094
    @matematikapinoy9094 3 роки тому +4

    I love math, but when I lesson this It seems I want to give up, This lesson need extreme understanding in trigonometric identities and formulas. But when I prove it, I breathe conveniently.

  • @tr1ceu535
    @tr1ceu535 Місяць тому

    I don't know but when i watch videos from here I always learn something unlike in school

  • @Sibazambia
    @Sibazambia 2 місяці тому +2

    Thank God will open my mind till I know this topic

  • @MagnificantLights
    @MagnificantLights 4 роки тому +1

    Nice to see you uploading again!

  • @JaQuelTv
    @JaQuelTv Рік тому

    That 7th example something else man!!!

  • @Kelly-eb7ex
    @Kelly-eb7ex 2 роки тому +1

    This dude just saved me from failing my test😭😭

  • @mrgobbles3745
    @mrgobbles3745 8 місяців тому +29

    Im cooked 😭

    • @foyotey9305
      @foyotey9305 7 місяців тому +1

      me too 😅

    • @jahyeet1137
      @jahyeet1137 3 місяці тому

      Dude this whole subject feels like I’m throwing shit at a wall and seeing what sticks 😭

    • @slayymantha
      @slayymantha 14 днів тому

      ​@@jahyeet1137 will throw that shit tomorrow and I have a feeling it won't stick 💀

  • @monikanghikongelwa4533
    @monikanghikongelwa4533 3 роки тому +1

    I am glad to find this channel.It helped me a lot on my science subjects.May God bless you.

  • @FunnyAirplaneWindow-on8sx
    @FunnyAirplaneWindow-on8sx 7 місяців тому

    Thank you so much.. You are a life saver ❤

  • @sheedcainiste2061
    @sheedcainiste2061 3 роки тому

    Wow 😯 thank you very much . I was stuck at trig identity equalities .

  • @chiedozienwosu5704
    @chiedozienwosu5704 4 роки тому +2

    Yess, you're back
    Really missed you bro
    Been worried

  • @chungumusonda8172
    @chungumusonda8172 6 місяців тому

    wow I understood thank you so much God be with you.✋

  • @manpigpacalso7749
    @manpigpacalso7749 2 роки тому +2

    As soon as he said " is not a very easy topic", I know I'm fucked

  • @halidsufiyan3663
    @halidsufiyan3663 4 роки тому

    Nice welcome back our teacher 👋👋👋👍👍

  • @bigbungus4869
    @bigbungus4869 2 роки тому +2

    If TOCT says "not an easy thing to do" you know it's gonna be insane

  • @vibe.check_failed
    @vibe.check_failed 10 місяців тому

    This is the first time I actually understood verifying

  • @XLRSAv
    @XLRSAv Рік тому

    THANK YOU SO MUCH. HELPED A LOT AND VERY THOROUGH!