Intro to Trigonometric Identities - part 1

Поделиться
HTML-код
  • Опубликовано: 7 фев 2025
  • In this video I go through a brief introduction to trig identities. I look at well known identities such as sin^x + cos^x = 1, then go through some example problems. Part 2: • Secant, Cosecant and C...
    practice problems: bit.ly/2ITWDYL
    Support the channel: / @mathonify

Комментарии • 220

  • @vedantbhard
    @vedantbhard 3 года назад +177

    I know this is a few years later, but thank you so much for making this. I was lagging behind my class, and I didn't know what the hell was going on. This really helped me out :)

  • @mathonify
    @mathonify  4 года назад +77

    Apologies for the sound quality in this video! I am clearly not an expert when it comes to microphones 😬

    • @evan.5967
      @evan.5967 4 года назад +6

      Maths Explained
      Yeah you should be sorry 😐

    • @mc2092
      @mc2092 4 года назад +15

      It’s all good 😅

    • @evan.5967
      @evan.5967 4 года назад +3

      blessed favoured
      It's not ok😡😡

    • @jamesharris1452
      @jamesharris1452 4 года назад +20

      Theres nothing wrong with the audio

    • @mathonify
      @mathonify  4 года назад +11

      Ok good to know thanks :) I thought it was a bit distorted but I am glad it's ok

  • @indeeditiscirro
    @indeeditiscirro 5 лет назад +1220

    Who else is here bc their maths teacher can't teach

    • @evan.5967
      @evan.5967 4 года назад +1

      Not me

    • @evan.5967
      @evan.5967 4 года назад +14

      My teacher is eddie woo hehe

    • @PIssa-yg1su
      @PIssa-yg1su 4 года назад +28

      Online classes are basically impossible to understand...

    • @festive5476
      @festive5476 4 года назад +2

      @@Frosty_V0 thats gotta be painful, can't you reach out to a tutor?

    • @Therealblack.bunnie
      @Therealblack.bunnie 4 года назад +3

      I can relate

  • @agwasiharriet5429
    @agwasiharriet5429 4 года назад +282

    Me studying in class:understand 10%
    Online:90%

  • @priyolenpadayachee6470
    @priyolenpadayachee6470 3 года назад +170

    This is the hardest part in trigonometry, lets be honest 😔

  • @Sk3leton95
    @Sk3leton95 3 года назад +72

    My teacher is trying to cram this into us in 3 days then we gotta take a test. Like hold up

  • @theblacktiger5165
    @theblacktiger5165 4 года назад +134

    Study pug ad:what ? Still searching RUclips for math problems?
    Me:YeS
    Study pug ad:are the videos from 2006 really helping ?
    Me:yes,yes they do
    Study pug ad:you wasn’t suppose to say that ;-;

    • @momonx6880
      @momonx6880 4 года назад +2

      The fuck I swear I read your comment as the ad was playing wow

    • @YesIlikebananasSo
      @YesIlikebananasSo 4 года назад +1

      😂😂😂

    • @tylerl4768
      @tylerl4768 4 года назад

      I have premium but i watch ONE trig video on my friends laptop and I wasn’t signed in and I got that ad, I was like they can’t seriously be putting this ad right before a math video

    • @joycensenga1652
      @joycensenga1652 3 года назад

      🤣🤣🤣🤣🤣

    • @JoelDavid-yl9fk
      @JoelDavid-yl9fk 3 года назад +1

      I reacted with that same dialogue when that ad was playing lol

  • @v9318
    @v9318 2 года назад +4

    I won't even lie, I am doing CS at a rlly good school and I legitimately never understood pre-calc during HS at the fundamental level. With my weak foundation, I was always confused on small topics such as this. I am just brushing up on the small things that bothered me and oh my god why does it make SO MUCH SENSE now?? It's based on the unit circle!

  • @DancingPony1966-kp1zr
    @DancingPony1966-kp1zr Год назад +1

    I’m convinced that most of my teachers just demonstrated their ability to produce the answers to the problems in their textbooks the way the books said that they were supposed to. I still find it hard to follow.

  • @itachi6336
    @itachi6336 5 лет назад +94

    Thank you. Would it be possible if you could make an as level playlist with all the important content

  • @isaachazard4506
    @isaachazard4506 4 года назад +5

    Thanks very much. Really helped more than three years at my school.

  • @leahlester2620
    @leahlester2620 5 лет назад +35

    Clear explanations! Thanks Sir!

  • @calliopeberenices3851
    @calliopeberenices3851 3 года назад +8

    After this video, I could finally solve these equations. Thanks a bunch sir 😊💐

  • @tylerl4768
    @tylerl4768 4 года назад +22

    I have a math test in 20 min and i m trying to learn the entire unit since i legit slept through my whole class this past couple of months

    • @emilylaverty6708
      @emilylaverty6708 4 года назад +1

      did you pass

    • @stearnsy4005
      @stearnsy4005 4 года назад +3

      @@emilylaverty6708 obviously not

    • @tomriddle8780
      @tomriddle8780 4 года назад

      What happened

    • @tylerl4768
      @tylerl4768 3 года назад +1

      @@emilylaverty6708 i got a 73 which is terrible considering i was using Photomath and Mathway and Desmos😳

    • @jaydenrussell7491
      @jaydenrussell7491 3 года назад

      @@tylerl4768 next time study earlier I always go two units ahead cause sometimes my teacher goes fast

  • @chrysalismacosmist165
    @chrysalismacosmist165 3 года назад +5

    Have a test tomorrow, it really helps to get a refresher for a lesson we went over once days ago
    😓😅

    • @jamesoyugi2234
      @jamesoyugi2234 3 года назад

      For more help with your class work,contact us at oyugiochieng1@gmail.com

  • @jungkookie1212
    @jungkookie1212 4 года назад +14

    when your teacher cant teach but gives bad grades so u have to teach yourself

  • @EmilyNgambera
    @EmilyNgambera 7 месяцев назад

    My teacher is the best in the world and I'm watching this just because it's part of my syllabus

  • @godwincornelius201
    @godwincornelius201 4 года назад +1

    He makes it so simple

  • @ghostin3992
    @ghostin3992 4 года назад +45

    i dont even get my classes in english so tell me why some random guy on internet explains the subject better than teacher who teachs in my native language, smh.

  • @Kababsauce
    @Kababsauce 2 года назад +2

    Very well explained

  • @tiktokvideocompilations9121
    @tiktokvideocompilations9121 4 года назад +1

    hello from Turkey guys ^^
    and thank you for your service

    • @meldailyy
      @meldailyy 4 года назад

      Türk hocalar yetmedi ,ben de yabancı kaynaklara başvurdum akajsksksd

    • @tiktokvideocompilations9121
      @tiktokvideocompilations9121 4 года назад

      @@meldailyy İngilizce geliştimek için hahshaha

  • @_KLAZ_
    @_KLAZ_ 2 года назад +2

    You helped me grasp the concept. Thank you:)

  • @multi-talentwithgrace1761
    @multi-talentwithgrace1761 2 года назад +1

    I'm here to know more b4 my teacher teaches...this video is good

  • @renukanandini9401
    @renukanandini9401 2 года назад +2

    I am in grade 7 but I understand everything he said. Great explanation

  • @amy_cxz2366
    @amy_cxz2366 Год назад +1

    Best explanation ever🥹🥹🥹

  • @Learning_Hub-o1b
    @Learning_Hub-o1b 3 года назад +1

    Excellent explanation sir

  • @PsycheLover
    @PsycheLover 4 года назад +5

    Thank you for this! It really helps.

  • @StarMemesing
    @StarMemesing 5 лет назад +10

    Thanks alot man good recap for me

  • @skrskr9181
    @skrskr9181 5 лет назад +7

    Thank you I love a bit of trig :)

  • @Cal-Neh-Brave
    @Cal-Neh-Brave Год назад +1

    Thanks, Sir

  • @nicotandotrunz6957
    @nicotandotrunz6957 4 года назад +5

    Thank you for this tutorial

  • @christellemuzondo9145
    @christellemuzondo9145 3 года назад +1

    Thank you so much this was helpful

  • @wah704
    @wah704 2 года назад +1

    Thank you! Very helpful!

  • @TaHaNi_aesthetic12
    @TaHaNi_aesthetic12 Год назад +1

    im yr8 and i am watching dis..
    we r learning this..

  • @madihamadhu9532
    @madihamadhu9532 3 года назад +2

    Masha Allah very nice video

  • @julianbruns7459
    @julianbruns7459 Год назад

    I find the usage of ≡ rather confusing because of its usage in modular arithmetic as congruency. For me atleast it implies similarity while not necessarily being exactly equal, like having the same remainder.
    Apart from that, great video.

  • @kob6912
    @kob6912 3 года назад +1

    Thanks for this vid, massive help

  • @mertturna147
    @mertturna147 4 года назад +2

    Very helpful video + love the outro from Spanish caravan

  • @koketsolizzy2856
    @koketsolizzy2856 2 года назад

    Thank you very much this is very helpful

  • @GetrudeMChalwe
    @GetrudeMChalwe Год назад +1

    Amazing 🔥🙏

  • @mamosatshalisi6113
    @mamosatshalisi6113 3 года назад +1

    Thanks it help me a lot

  • @que4580
    @que4580 3 года назад +6

    In every video , pls leave some problems for us to solve ourselves 😁

  • @thandom7794
    @thandom7794 4 года назад +2

    Thank you

  • @jannatiakther1862
    @jannatiakther1862 3 года назад +1

    Thank you very much

  • @shahidaghazal4470
    @shahidaghazal4470 3 года назад +1

    Very informative video

  • @wolkersintelligence7626
    @wolkersintelligence7626 4 года назад +1

    Examples of questions to prove that a value equal to a certain value using tan through demovres theory

  • @israeltor
    @israeltor 3 года назад +1

    Great video, thank you!

  • @SIRMAPANDAONLINE
    @SIRMAPANDAONLINE 3 года назад +1

    Good work sir🤝

  • @Yoooooohjh
    @Yoooooohjh 2 года назад

    No way this is as easy as the video makes it😱

  • @lffen
    @lffen 2 года назад +1

  • @ChiagoziemNwabufoh
    @ChiagoziemNwabufoh Месяц назад

    Please,how did you come about expanding Sin^2tita and so on,how did we land on 2sin^2tita

  • @aaaaaa-rr8xm
    @aaaaaa-rr8xm 2 года назад +1

    are you sure that its congruent and not equal?

  • @flair8099
    @flair8099 4 года назад +20

    Yep I'm dead

    • @shiroganekai
      @shiroganekai 4 года назад +2

      same tmrs my math exam

    • @gugumasuku143
      @gugumasuku143 4 года назад +2

      Due to specific reasons I shall be ✨passing away✨☺️

    • @fayth3188
      @fayth3188 4 года назад +1

      Yall can do this 🕊🌞~ from a student who cant do this

    • @masha0242
      @masha0242 4 года назад

      @@fayth3188 kkkkkkkkkkkkkkkkk

  • @kylenapiza3869
    @kylenapiza3869 4 года назад +1

    thank you so much

  • @sultanah-b5o
    @sultanah-b5o 8 месяцев назад

    Thank you 😔❤️

  • @leogaussbell1622
    @leogaussbell1622 4 года назад +18

    Thanks man, I love trig functions but sadly they barely appear in my career lol

  • @sabianwilliams988
    @sabianwilliams988 4 года назад +1

    Thank you!

  • @AzureViking
    @AzureViking 9 месяцев назад +1

    Does this even count as math at this point? I’m struggling to hard with Trig. This topic is especially difficult.

  • @FekaduKibret
    @FekaduKibret 2 месяца назад

    Why we assigned the hypotenuse as 1?

  • @fizaakhter1493
    @fizaakhter1493 3 года назад +5

    is it just me who thinks this man sounds EXACTLY like korg from MCU movie. (the rock guy)

  • @duafatma6511
    @duafatma6511 3 года назад +1

    Good video keep shining

  • @crystalrose5693
    @crystalrose5693 3 года назад

    TYSMMM I LOVE YOU!!!!

  • @Bold_new_city_of_the_south
    @Bold_new_city_of_the_south 10 месяцев назад

    Yah these identities are easy,, try deriving the Identity
    tan (A+B+C); it's all complex fractions

  • @AllmightyZen
    @AllmightyZen 4 года назад +3

    How is cos^2/cos^2 = 1 ? 🥲

    • @mathonify
      @mathonify  4 года назад +4

      Anything divided by itself is one.

  • @templar1372
    @templar1372 2 года назад +1

    I’ve just finished school, and now I get suggested this? Too late RUclips. Too late…..

  • @elisamodlane6784
    @elisamodlane6784 4 года назад +1

    thank u very very much

  • @zoyaasad4979
    @zoyaasad4979 3 года назад +1

    Very nice video stay blessed

  • @fayth3188
    @fayth3188 4 года назад +5

    I study in arabic i changed the language started studying in English as if that will make me less dumb

  • @dgrk5209
    @dgrk5209 3 года назад +2

    I’m here cos my A math( in Singapore we split math into additional math-a math-and elementary math-e math-) teacher doesn’t have time to teach me

  • @GodbornNoven
    @GodbornNoven 11 месяцев назад

    Sin²x+2sinx cos x + cos²x
    1+2sin x cos x

  • @euphoriajo7913
    @euphoriajo7913 2 года назад

    Can we exchange the arrangement like
    Cos²+sin² not sin²+cos²?? 🤔 Or it's false??
    I want to know the answer

    • @mathonify
      @mathonify  2 года назад

      yes due to the commutative law. a + b = b + a

  • @dominiquejimenez2751
    @dominiquejimenez2751 2 года назад

    I was understanding at the beginning and then all of a sudden I lost it. It was like magic. It was like witchcraft. All of a sudden everything became so blurred. Absolutely witchcraft.

  • @avenery
    @avenery 3 года назад +1

    Thank you for this. You helped me better than my teacher lol

  • @takudzwamuwawa9963
    @takudzwamuwawa9963 2 года назад +2

    Stop reading comments and pay attention

  • @Bold_new_city_of_the_south
    @Bold_new_city_of_the_south 10 месяцев назад

    One I couldn't solve in class but later when I finished the course..here
    (cos x+ sin x -1)/( cos x-sin x+ 1) = sin x/( 1+ cos x)
    You'd be tempted to clear fractions but I'm told that is not the correct procedure
    only the Pythagorean theorem works..
    sin ^2 x + cos ^2 x = 1 is all ya need to know

  • @ohhesnumb4409
    @ohhesnumb4409 2 года назад +1

    Thanks- Sophomore in College

  • @Elitea20
    @Elitea20 4 года назад +11

    Good video but i hate trig so much 😭

    • @JeremiKress
      @JeremiKress 4 года назад +3

      Same and I want to major in Engineering lol

    • @SteaJdj
      @SteaJdj 4 года назад

      Relatable

  • @Thepinkhoodiegirl
    @Thepinkhoodiegirl Год назад

    hello sir , is this all required for cie pure maths 1

  • @frogzzz-6243
    @frogzzz-6243 Год назад

    therfor left side will never be equal to right side

  • @lvlhead3d
    @lvlhead3d 2 года назад

    In ex 2 i didn't get how you did the multiplication for (sin cos)(sin cos)
    Pls explain and thank you.

    • @mathonify
      @mathonify  2 года назад

      Which part didn't make sense? If you are not sure about expanding brackets check out my video on that: ruclips.net/video/63oU-AIzTcE/видео.html

  • @ChiagoziemNwabufoh
    @ChiagoziemNwabufoh Месяц назад

    Please, how did we land at 2sin tita cos tita

  • @hadar8057
    @hadar8057 4 года назад +3

    i like your voice

  • @stevenmackellar9221
    @stevenmackellar9221 3 года назад +1

    Your videos are beautiful

  • @273
    @273 4 года назад +2

    U got enough ads?

    • @mathonify
      @mathonify  4 года назад +2

      Just trying to pay off my massive student debt 🤦‍♂️

    • @273
      @273 4 года назад +2

      @@mathonify ye don't worry, I will have some of my own soon.

  • @mahawashaijaz4846
    @mahawashaijaz4846 3 года назад +1

    Masha Allah

  • @keziahomari1324
    @keziahomari1324 2 года назад

    Still don't get it

  • @surendrabadal2725
    @surendrabadal2725 8 месяцев назад

    🎉🎉

  • @aratictv6148
    @aratictv6148 3 года назад

    Great

  • @terrancendzimandze5103
    @terrancendzimandze5103 3 года назад

    Why sin^2+2

    • @jamesoyugi2234
      @jamesoyugi2234 3 года назад

      Hello,you can contact us at oyugiochieng1@gmail.com for more explanation.

  • @natajjj8882
    @natajjj8882 3 года назад +1

    Странно, что они используют тету для обозначения угла. Мы всегда альфу и бету юзали

    • @mathonify
      @mathonify  3 года назад +1

      это именно то, что делал мой учитель математики, ха-ха

  • @elliotappiah903
    @elliotappiah903 4 года назад

    this guy is really good but your writtings must be a little bold

  • @aherezaambrose6435
    @aherezaambrose6435 2 месяца назад

    2024 were still watching this

  • @popcornsanchez
    @popcornsanchez 2 года назад

    Why tf is this in a lucky block race in minecraft playlist??😅😅

  • @Lovelyme5423
    @Lovelyme5423 3 года назад

    I’m trying to understand English ,because i have to study for my quiz .

  • @orensgorospe8097
    @orensgorospe8097 2 года назад +1

    Em why am i watching this probly bcs im bored

  • @Mkurugenzi-xo6jtmwita
    @Mkurugenzi-xo6jtmwita 3 месяца назад

    New friend here

  • @mattypatty1
    @mattypatty1 3 года назад +1

    Iden-tities

  • @monoman4083
    @monoman4083 3 месяца назад

    intro??????????????????????????????????

  • @JadKarma
    @JadKarma 3 года назад +1

    i dont fkn get it