Trig Identities

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  • Опубликовано: 19 сен 2024
  • This trigonometry video tutorial discusses common trig identities and formulas such as the pythagorean identites, reciprocal identites, quotient identities, even odd identities, cofunction identities, double angle formulas, half angle formulas, sum and difference identities, power reducing formlas, product to sum identities, and sum to product identities.
    Access Full-Length Premium Videos: / mathsciencetutor
    Trigonometry Formula Sheet: bit.ly/47diggI
    _____________________________________________________________________________________________
    Trigonometry - Basic Introduction: • Trigonometry
    Introduction to Angles: • Introduction to Angles
    Radians and Degrees: • Radians and Degrees
    What Exactly Is a Radian? • Trigonometry - What Ex...
    Coterminal Angles: • Coterminal Angles In R...
    Decimal Degrees to DMS: • Decimal Degrees to DMS...
    Arc Length of a Circle and Sector Area: • Arc Length of a Circle...
    Linear Speed and Angular Velocity: • Linear Speed and Angul...
    Clock to Angle Problems: • Clock Aptitude Reasoni...
    The Unit Circle: • The Unit Circle, Basic...
    ______________________________________________________________________________________________
    Reference Angles: • How To Find The Refere...
    The Six Trigonometric Functions: • The Six Trigonometric ...
    How To Solve Right Triangles: • Trigonometry - How To ...
    Reciprocal Identities: • Reciprocal Identities ...
    Quotient Identities: • Quotient Identities - ...
    Even and Odd Trigonometric Identities: • Even and Odd Trigonome...
    Pythagorean Identities: • Pythagorean Identities...
    Trig Functions - Periodic Properties: • How To Evaluate Trigon...
    Trigonometry For Beginners: • Trigonometry For Begin...
    The Exact Value of Trig Functions: • How To Find The Exact ...
    Special Right Triangles - 30 60 90: • Special Right Triangle...
    Special Right Triangles - 45 45 90: • Special Right Triangle...
    Cofunction Identities: • Cofunction Identities ...
    ______________________________________________________________________________________________
    Angle of Elevation Problems: • Angle of Elevation and...
    Evaluating Trig Functions Given a Point: • Evaluating Trigonometr...
    Exact Value of 5 Remaining Trig Functions: • How To Find The Exact ...
    Evaluate Trig Functions - 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 ...
    Two Triangle Problems - More Examples: • Trigonometry - How To ...
    _____________________________________________________________________________________________
    Verifying Trig Identities: • Verifying Trigonometri...
    Trigonometry Final Exam Review: • Trigonometry Final Exa...

Комментарии • 368

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  9 месяцев назад +41

    Trigonometry Formula Sheet: bit.ly/47diggI
    Trigonometry For Beginners: ruclips.net/video/PUB0TaZ7bhA/видео.html
    Final Exams and Video Playlists: www.video-tutor.net/
    Full 2 Hour Trig Final Exam Review: ruclips.net/video/yyg1X8M4IKs/видео.html
    Join The Membership Program: bit.ly/46xaQTR

  • @Naturo_ukuzami
    @Naturo_ukuzami Год назад +291

    This man literally has tutorials on every topic I want

  • @sasugamegami5113
    @sasugamegami5113 7 месяцев назад +229

    Bro teaches physics, algebra, chemistry, trig, basics of math, matrices, calculus, etc. What does this man can't do in the field of math?

  • @krisztian1238
    @krisztian1238 4 месяца назад +354

    This the day I realized it wasn't all sunshine and rainbows😭🙏

    • @thvtsydneylyf3th077
      @thvtsydneylyf3th077 3 месяца назад +4

      you realise this aint no joke

    • @inspirationalroseswashere..
      @inspirationalroseswashere.. 3 месяца назад +20

      real?? trig was so easy until I got hit by this truckload

    • @johnyjakey1488
      @johnyjakey1488 Месяц назад

      ​@@thvtsydneylyf3th077no shit sherlock

    • @panthusbg626
      @panthusbg626 Месяц назад +2

      @@inspirationalroseswashere..bro what is hard about this i love simplifying tri equations with idenities 😋

    • @inspirationalroseswashere..
      @inspirationalroseswashere.. Месяц назад

      @@panthusbg626 i’ll assure you that one month later I have returned stronger than ever 🔥‼️

  • @Pugsgunsandstuff
    @Pugsgunsandstuff 4 месяца назад +57

    Fought the whole semester to keep my A, this is what's going to blow it for me. This stuff makes absolutely zero sense without a reference sheet or something.

  • @twa9342
    @twa9342 Год назад +542

    The Organic Chemistry Tutor reigns supreme

  • @caviwhy
    @caviwhy Год назад +141

    couldnt be even more perfect, literally learned about trig identities in class today and didnt understand it. immaculate timing

    • @tufasteel2329
      @tufasteel2329 Год назад +19

      bro this trig stuff is so fukin hard

    • @Askechad
      @Askechad Год назад +37

      @@tufasteel2329 I swear it’s making me lose hope I can only do math if I get the logic but what’s the logic here…

    • @libertybee1307
      @libertybee1307 Год назад +9

      @@Askechad same my other classmates do it so fast and I’m here trying

    • @whyhayden
      @whyhayden Год назад +14

      Memorize this bc I’m in college and having to come back to review this because I forgot most of them

    • @MrDiceZack
      @MrDiceZack 5 месяцев назад +2

      @@whyhaydenDo not ever memorize, it's better to understand

  • @WaffelenSyrup
    @WaffelenSyrup 6 месяцев назад +1646

    I'm actually cooked bro

  • @friedhegg8874
    @friedhegg8874 10 месяцев назад +25

    bruh literally two minutes in and you already gave me the best way to remember sin, cos, and tan. wow ur a legend

  • @Eeppydeepy
    @Eeppydeepy Год назад +125

    Thanks, man. Been cramming right before finals trying to relearn everything, and this channel has been a life saver. Everything is explained so clearly and simply it makes trig seem easy.

  • @ChukwumaNdive
    @ChukwumaNdive 10 месяцев назад +23

    This channel is by far my favorite RUclips channel to learn Math. Thanks for making these videos. I can only imagine the hours and effort you put in.

  • @Billsomebody89
    @Billsomebody89 Год назад +27

    30,60,90 and 45,45,90. The good ol' Right triangle basics. Your channel helped me out quite a bit in my trig class.

  • @ashistoxic8447
    @ashistoxic8447 Год назад +53

    the timing of this video is actually perfect. I have a test tomorrow and I need to know my trig identities,

  • @abigaleammons8574
    @abigaleammons8574 5 месяцев назад +66

    Bro literally my teacher only talks about donkeys in class. I mean literal donkeys. And yet I’m supposed to know this? This man has SAVED me

    • @lilybreaths
      @lilybreaths Месяц назад +1

      @nomant7 yeah they should enlighten us

    • @wege8409
      @wege8409 14 дней назад +1

      Donkey A and Donkey B are walking toward each other on a dirt road. Donkey A starts from the barn, 15 miles away from the meeting point, at 1:00 PM. Donkey B starts from the orchard, 10 miles away from the meeting point, at the same time, 1:00 PM. Donkey A walks at a speed of 3 miles per hour, while Donkey B walks at a speed of 2 miles per hour. At what time will Donkey A and Donkey B collide?

    • @lilybreaths
      @lilybreaths 13 дней назад

      @@wege8409 To determine the time when Donkey A and Donkey B collide, we can use the formula:
      \[
      \text{Time} = \frac{\text{Distance}}{\text{Combined Speed}}
      \]
      ### Step 1: Calculate the combined speed
      - Donkey A's speed: 3 miles per hour
      - Donkey B's speed: 2 miles per hour
      - Combined speed: \( 3 \text{ miles per hour} + 2 \text{ miles per hour} = 5 \text{ miles per hour} \)
      ### Step 2: Calculate the total distance between them
      - Donkey A starts 15 miles away from the meeting point.
      - Donkey B starts 10 miles away from the meeting point.
      - Total distance: \( 15 \text{ miles} + 10 \text{ miles} = 25 \text{ miles} \)
      ### Step 3: Calculate the time it takes for them to collide
      \[
      \text{Time} = \frac{25 \text{ miles}}{5 \text{ miles per hour}} = 5 \text{ hours}
      \]
      ### Step 4: Determine the collision time
      Since they both start at 1:00 PM, they will collide 5 hours later:
      \[
      1:00 \text{ PM} + 5 \text{ hours} = 6:00 \text{ PM}
      \]
      So, Donkey A and Donkey B will collide at **6:00 PM**.

    • @lilybreaths
      @lilybreaths 12 дней назад +1

      @@wege8409 Let's break this down step by step:
      1. Donkey A starts 15 miles away from the meeting point and walks at 3 miles per hour. To find the time it takes for Donkey A to reach the meeting point, divide the distance by the speed:
      15 miles / 3 miles per hour = 5 hours
      1. Donkey B starts 10 miles away from the meeting point and walks at 2 miles per hour. To find the time it takes for Donkey B to reach the meeting point, divide the distance by the speed:
      10 miles / 2 miles per hour = 5 hours
      1. Since both donkeys start at the same time (1:00 PM) and take the same amount of time to reach the meeting point (5 hours), they will collide at:
      1:00 PM + 5 hours = 6:00 PM
      So, Donkey A and Donkey B will collide at 6:00 PM.

  • @gamereplixer8521
    @gamereplixer8521 Год назад +37

    I have a trig exam on this exact content tomorrow, big praise.

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  Год назад +27

      This video can help you with your Trig final exam:
      ruclips.net/video/OAsbx4TEnL0/видео.html

    • @ramusubedi7514
      @ramusubedi7514 4 месяца назад

      thnks i love this chanel​@@TheOrganicChemistryTutor

  • @zdrafts_
    @zdrafts_ 5 месяцев назад +5

    Man may God bless you though I paid a huge sum of tuition fee the whole year you're gonna save my exam a month ago
    I'll return with an A* in Gcse Add Maths (In Sha Allah)
    Y'all pray I get an A*

  • @ansmith460
    @ansmith460 Год назад +47

    Thanks!

  • @SruthiLijil
    @SruthiLijil 8 месяцев назад +2

    I studied all this with great interest while studying in college. But now after 13 years it was very difficult to recollect. So when I go for an interview for the position of a mathematic teacher to answer the trigonometric functions was a difficult task. But this video helped me to remember all the trigonometric functions. It is really helpful for me. Thank you so much.

  • @fwoopp9777
    @fwoopp9777 Год назад +11

    Babe wake up, The Organic Chemistry Tutor dropped a new banger

  • @megufan6955
    @megufan6955 4 месяца назад +9

    We are absolutely done for 🗣🗣💯💯🔥🔥🔥

  • @dakamary9506
    @dakamary9506 Год назад +6

    Though my test was on Monday, your previous video for trig identities helped, I'll make sure to watch this one too

  • @JonathanFuentes-n9s
    @JonathanFuentes-n9s 7 месяцев назад +1

    more helpful than what any teacher has done so far

  • @Turboner
    @Turboner Год назад +6

    Bro right after my trig unit just ended. But I got the pre-calc final. Thanks for uploading! You da man. Wish me luck!

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  Год назад +10

      This video can help you with your Pre-calculus final exam:
      ruclips.net/video/Tj-V6KnwM5w/видео.html

  • @fidelisikhifa4510
    @fidelisikhifa4510 11 месяцев назад +3

    Thank you so much. You made me to conquered my fears. Thank you so much. You broken a complex maths into parts for my understanding. I appreciate you.

  • @mrblue2052
    @mrblue2052 Год назад +7

    your voice never changed.

  • @tejetski
    @tejetski 4 месяца назад +1

    This man finna boost my sat score by about 100

  • @dman2204
    @dman2204 Год назад +52

    Thank you for uploading educational content every time!❤

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  Год назад +41

      No problem

    • @williamhu9567
      @williamhu9567 Год назад +20

      @@TheOrganicChemistryTutor THE LEGEND HIMSELF HAS SPOKEN

    • @ilo9339
      @ilo9339 Год назад +4

      ​@@TheOrganicChemistryTutor does JG stand for julio gonzalez?

  • @GenghisKhanResurrected
    @GenghisKhanResurrected Год назад +42

    I wanna meet bro one day

  • @PaytonShaw-d5k
    @PaytonShaw-d5k 4 месяца назад +1

    You covered just about everything here, nice. Got my final for pre-calc tomorrow

  • @erdog8394
    @erdog8394 4 месяца назад +3

    why do you not explain where are these coming from 11:40

  • @T-T_Angel
    @T-T_Angel 3 месяца назад +1

    Next year ill be taking calc for my senior year in high school so i decided to put in the hours this summer. i am 8 mins into this video i can feal an increasing pressure in my skull and that's a good thing cause am absorbing the information. But its unreal its all of this is packed into a

  • @mervlovesteddys
    @mervlovesteddys 9 месяцев назад +6

    this is actually make me cry

  • @GitaPrihatini-h8v
    @GitaPrihatini-h8v 10 месяцев назад +3

    thank you for explaining this chapter in a very systematic way, it really helps!

  • @nimakojnr6178
    @nimakojnr6178 Год назад +3

    The Organic Chemistry Tutor is too good, man! Clear videos check, eloquence check, and super intelligent double triple check

  • @Sydneystar1
    @Sydneystar1 25 дней назад

    thank you very much sir
    I’m in Uganda but before I saw your tutorials I was lost coz math was cooking me up
    So thanks so much sir. 🙇‍♂️🙇‍♂️🙇‍♂️

  • @christianajoseph3189
    @christianajoseph3189 Месяц назад +1

    Y'all have to agree with me,this guy is a god❤

  • @badoibaboi5457
    @badoibaboi5457 Год назад +8

    how do u know when to apply a trig identity? is it necessary to apply an identity everytime u see one, or are there times where leaving the trig expression just as it is is better than applying an identity?

  • @dalisabe62
    @dalisabe62 9 месяцев назад +1

    Very thorough and organized!

  • @qtastrophysics2581
    @qtastrophysics2581 9 месяцев назад

    15:44 I love how you say let me say that again

  • @onfire1341
    @onfire1341 8 месяцев назад +2

    Very helpful content! Appreciate the hard work! Keep it up🌟🌟🌟

  • @Tomas-zv2js
    @Tomas-zv2js 10 месяцев назад

    The red laser pointer does help with the ADHD. I think my attention span is able to keep up much longer now. Thank you!

  • @plasmazammy3894
    @plasmazammy3894 5 месяцев назад +29

    I’ll be dead by Tuesday

  • @Syntaxxed
    @Syntaxxed 5 месяцев назад

    this is already great but would be even better with a visual representation on the unit circle. But thanks for saving my grades tomorrow!

  • @lavabhai
    @lavabhai 2 дня назад

    14:07 u can use formula of (a+b)(a-b) =a² - b²

  • @chisomeze4626
    @chisomeze4626 9 месяцев назад

    Thank youuuuuu 🥹
    I have exams tomorrow by 9am, I'm so happy 😁

  • @iliyasesoof17
    @iliyasesoof17 4 месяца назад +9

    bro i'm so screwed

  • @lisai.9812
    @lisai.9812 12 дней назад

    Your videos are an absolute godsend, but that red dot was soooooooo distracting. 😞

  • @NaftaliSpodek
    @NaftaliSpodek 10 месяцев назад

    I actually needed to watch this video For trigonometric Integrals It's a good review for that and also In polar coordinates

  • @yahdz8188
    @yahdz8188 7 месяцев назад

    Got me through college bro shout out to you

  • @krylaarualla7313
    @krylaarualla7313 Год назад

    This is really amazing, I have my midterm exam today

  • @mazubahambizi5801
    @mazubahambizi5801 4 месяца назад +2

    Broo. This is so complicated, I am basically lost at this point.

  • @altheapalis
    @altheapalis Год назад

    the OCT never gatekeeps, what a king 👑

  • @gamerjames8432
    @gamerjames8432 Год назад +3

    I suggest changing the background to more like gray so it is easy on the eyes . Btw appreciate your dedication Man :)

  • @wediadi6788
    @wediadi6788 Год назад +1

    Fantastic, full packed course from the very basic to the advanced in less than half hour.

  • @StanziiThompson
    @StanziiThompson 11 дней назад

    Thanks bruhh you help me a lot....❤

  • @VanessaJimen3z
    @VanessaJimen3z 4 месяца назад

    I was getting frusterated when he was bout to skip explaining cos20=cos^20-sin^20, then he did, and I was relievedddddd

  • @thomasogbonna
    @thomasogbonna Год назад +1

    I really needed this. Thank you!!

  • @user-rh4hf3yo9t
    @user-rh4hf3yo9t Месяц назад

    Thank you teacher
    God bless you

  • @siro5728
    @siro5728 Год назад +2

    i have an ib math external in 1 month and I find the subject hard i need help

  • @EOMMunaware
    @EOMMunaware Год назад +1

    Thanks bro I could use this for my calculus 1

  • @jamesragnarim8148
    @jamesragnarim8148 Год назад +2

    Pls can u show how to calculate antilog in fx calculator

  • @es8co8rt2004
    @es8co8rt2004 26 дней назад

    You have to live this to have this locked in your memory…😢

  • @brenytakz
    @brenytakz 3 месяца назад +28

    Stop reading comments and concentrate 😅

  • @gonzaldinhoisgod934
    @gonzaldinhoisgod934 15 дней назад +1

    If I don’t pass trig this semester…my dad’s gonna shit in my mouth

  • @user-kf2ek5ig9p
    @user-kf2ek5ig9p 9 месяцев назад

    Thanks really a good teacher❤

  • @josephyaw4112
    @josephyaw4112 11 месяцев назад

    I think you interchanged the tan and the cot in the beginning on the video, please kindly check.

  • @guliyevshahriyar
    @guliyevshahriyar 9 месяцев назад

    Thank you very much teacher!

  • @philemonngetich9044
    @philemonngetich9044 Год назад +1

    Thanks for your lec❤love it

  • @aimusoorii4484
    @aimusoorii4484 11 месяцев назад

    Lol Im binge watching every trig derivation vids for my upcoming midterm exam

  • @EstherAdomah-zv2gt
    @EstherAdomah-zv2gt Год назад +1

    Thanks a lot for this lesson 😊

  • @TheMathematiciankfm2735
    @TheMathematiciankfm2735 8 месяцев назад

    nice video,well explained

  • @mccauleybacalla2228
    @mccauleybacalla2228 Год назад +1

    coscosb = 1/2 [ cos (a+b) + cos (a-b) ]
    21:40

  • @EnigmaScrolls
    @EnigmaScrolls 9 месяцев назад +1

    It's the first tutorial of your's that I didn't get anything🤒🤒🤒

  • @SamsHamlet
    @SamsHamlet Год назад +1

    Please go over picards methods

  • @brianmathx201
    @brianmathx201 Год назад

    lovely explainations. Thank you so much.

  • @keefeang2036
    @keefeang2036 10 месяцев назад

    thanks for posting this video i love u sir

  • @GeraldBosley-cf8ng
    @GeraldBosley-cf8ng 8 месяцев назад +1

    I can handle any mathematics up to calc 3, but I still get these trig identities wrong. I have got to figure out a system to really commit these to memory because I should not be having this problem.

  • @retrooo
    @retrooo 3 месяца назад

    nah this final got me cooked 😭

  • @Krankaroon
    @Krankaroon 9 месяцев назад

    I love this man

  • @debbiedominguez5373
    @debbiedominguez5373 6 месяцев назад +1

    Please avoid using the purple marker. It's extremely difficult to see. Maybe use yellow??❤

  • @manavrrai
    @manavrrai 10 месяцев назад

    absolute king

  • @asantedan-zk4zx
    @asantedan-zk4zx 11 месяцев назад

    Continue good word our tutor

  • @Shinarambo001
    @Shinarambo001 Год назад +1

    wow he is still replying and liking comments!!! Can I get a like from Mr. Organic chemistry

  • @joeyoshs
    @joeyoshs 24 дня назад

    What's the best way to get a tan? Having the Sun (Sine) over the coast (Cos)!

  • @shototodoroki6822
    @shototodoroki6822 Год назад +2

    Hello20** i was here rayan slm : wonder egg priority nd nana hachi707 r my fav animes

  • @thabangduma3596
    @thabangduma3596 6 месяцев назад

    Mind blowing!!!

  • @BuchiClon
    @BuchiClon 4 месяца назад

    Thanks!

  • @dbztimes5808
    @dbztimes5808 2 месяца назад

    Last minute studying for a placement test and I haven’t had math in over a year 👍

  • @kamikira5454
    @kamikira5454 9 месяцев назад +1

    Whoever thought it was a bright idea to make this stuff a requirement for biology majors needs to arrested.

  • @iili9486
    @iili9486 5 месяцев назад

    You are a legend

  • @akshajande0519
    @akshajande0519 Год назад +1

    The link to the practice problems doesn't seem to work 😢

  • @TheImaginativeSachin
    @TheImaginativeSachin 6 дней назад

    Whats the difference between identity and formula 🤔

  • @olayemiolaniran9130
    @olayemiolaniran9130 4 месяца назад

    how did you get so knowledgeable??

  • @duonganh4941
    @duonganh4941 3 месяца назад

    this video is very helpful but the sound of this video is not clearly and have a low sound

  • @mc2smith370
    @mc2smith370 7 месяцев назад

    At 10:04 isn’t the sin of 45 degrees equal to 1/root(2) ? Please feel free to correct me or to explain how he got root(2\2). Thanks :)

    • @mc2smith370
      @mc2smith370 7 месяцев назад

      I watched one of his videos, you rationalise by multiplying 1/rt(2) by rt(2/2), hope this helps anyone who made the same mistake I did.

  • @noobynoob6856
    @noobynoob6856 9 месяцев назад +1

    Tangent

  • @Labeloved
    @Labeloved Месяц назад

    Pls sir what's CSC?

  • @mena7600
    @mena7600 Год назад +2

    I love this man

  • @mhecca6856
    @mhecca6856 10 месяцев назад

    Where can I find the exercises or example of this topic?

  • @mrblue2052
    @mrblue2052 Год назад +1

    thank you