Sum and Difference Identities & Formulas - Sine, Cosine, Tangent - Degrees & Radians, Trigonometry

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  • Опубліковано 10 лип 2024
  • This trigonometry video tutorial explains how to use the sum and difference identities / formulas to evaluate sine, cosine, and tangent functions that have angles that are not commonly found in the unit circle. Examples include angles both in degrees and radians.
    Bearing Problems and Navigation:
    • Bearing Problems & Nav...
    Two Triangle Problems - More Examples:
    • Trigonometry - How To ...
    Verifying Trigonometric Identities:
    • Verifying Trigonometri...
    Double Angle Identities:
    • Double Angle Identitie...
    Verifying Trig Identities With Double Angles:
    • Verifying Trigonometri...
    __________________________
    Half Angle Formulas:
    • Half Angle Formulas & ...
    Verifying Trig Identities Using Half Angles:
    • Verifying Trigonometri...
    Inverse Trig Functions With Double Angles:
    • Inverse Trig Functions...
    Right Triangle Trig With Half Angle Identities:
    • Right Triangle Trigono...
    Product To Sum + Sum to Product Formulas:
    • Product To Sum Identit...
    ______________________________
    Solving Trig Equations - Finding All Solutions:
    • Solving Trigonometric ...
    Solving Trig Equations With Multiple Angles:
    • How To Solve Trigonome...
    Solving Trig Equations With Double Angles:
    • Solving Trigonometric ...
    Trigonometry Final Exam Review:
    • Trigonometry Final Exa...
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

КОМЕНТАРІ • 415

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  6 місяців тому +4

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Evaluating Inverse Trig Functions: ua-cam.com/video/so9Tjk6Ga2U/v-deo.html
    Verifying Trigonometric Functions: ua-cam.com/video/NE6zcJSZhX0/v-deo.html

  • @realking4918
    @realking4918 6 років тому +768

    cant wait til the semester is over

  • @inebriationconversation4526
    @inebriationconversation4526 5 років тому +752

    Im cramming for an exam and i just wanna thank you cuz you've consistently helped me learn these ancient evil spells known as trig

    • @firstlast5630
      @firstlast5630 5 років тому +43

      My Trig test is tomorrow I literally want to fucking die... 4 pages of formulas to memorize I am so fucked.

    • @TheCyberSatyr
      @TheCyberSatyr 4 роки тому +12

      @@firstlast5630 I think trig is fun lol. Strangely. It's frustrating sometimes, but it's not as hard as some of the shit in algebra

    • @firstlast5630
      @firstlast5630 4 роки тому +7

      @@TheCyberSatyr I think it's way harder than Algebra. I made a c on the test and a b in the class btw... not that bad.

    • @TheCyberSatyr
      @TheCyberSatyr 4 роки тому +5

      @@firstlast5630 I barely made an A in algebra and am making a B in precal. Mostly because I wasn't prepared for my first exam and my instructor doesnt seem to like me (I never show up because its not mandatory and I feel like hes holding it against me via giving me the review late, wrong answers on the review, etc).
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      Other than my terrible instructor, I'm enjoying the course

    • @lopkobor6916
      @lopkobor6916 4 роки тому +4

      @@TheCyberSatyr im in calc but im here bc i dont remember some of these identities... boy trig identities sure are fun!

  • @corncobb2059
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    who else here because their teacher can't teach

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  • @JJSmalls
    @JJSmalls 7 років тому +281

    You explained this section better than my textbook did.

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    • @danielcohen2138
      @danielcohen2138 5 років тому +15

      The textbooks are fucking shite. They don’t explain anything and if you don’t already have a thorough base knowledge on the subject you can forget about understanding the questions

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      That's hardly surprising.

    • @blandinus_8683
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      completely agree mate its a chore to even try and make sense of what the text book is trying to explain if you dont already know the topic

    • @ngndnd
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      @@danielcohen2138 im mad af because these professors want you to spend hundreds on a textbook that you will never even look at. UA-cam is my textbook.

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    @jasonhess9307 3 місяці тому +3

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    Wow thanks for the lesson , I have been struggling with the radian part

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  • @TheATLTengu
    @TheATLTengu 4 роки тому +22

    Kinda funny to see that even during quarintine, we are all still struggling to learn this the same as when we were in school.

    • @dormi_torio
      @dormi_torio 3 роки тому +3

      It's not like quarantine made me any smarter

    • @RumpelStiltskindarkone
      @RumpelStiltskindarkone 2 роки тому

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  • @joyflanagan7722
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    Finally a helpful tutorial

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  • @noura3431
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    I guess you are just going to teach me every subject, lol I watch your chem videos for gen chem 2

  • @lowopelumi207
    @lowopelumi207 Рік тому

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  • @ThatGuy-ws7gu
    @ThatGuy-ws7gu 6 років тому

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  • @ruhi4985
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    @lhanceandrewtambis9839 6 місяців тому

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  • @amagiyaisaiah692
    @amagiyaisaiah692 7 місяців тому +1

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  • @rafaeledits8419
    @rafaeledits8419 3 роки тому +8

    Hello! Just a question. For 17:07, can I just choose between any two angles in the unit circle that would sum up to 345 degrees? Or is there some basis/criteria that is needed to be followed? Thanks in advance.

    • @machmacker
      @machmacker 2 роки тому +1

      they have to be angles that you know of from the unit circle, you can do 300 and 45, 210 and 135, etc. but it wouldn't be helpful to use 200 and 145 since we don't know those from the unit circle

  • @LukePaciocco
    @LukePaciocco 4 роки тому +23

    14:43 .... I've coined this phenomena as "Einstein fog"... when you're so used to solving exponentially more intricate and tedious mathematic equations, only to return to something like basic division - it takes a moment for your brain to recalibrate to such a basic way of thinking. I noticed from the brief pause and "uhh". Einstein himself was incredibly guilty of this to a point where he'd even forget elementary equating.

    • @azimuth011
      @azimuth011 4 роки тому +3

      I can relate to this, a lot. I can solve a lot of complicated equations without calculator, only to use calculator for simple and basic operations like addition

    • @LukePaciocco
      @LukePaciocco 4 роки тому +1

      @@azimuth011 I was INSANELY in the zone studying, super caffeinated up, and being my typical over-analytical self when I wrote that comment, hahaha. So funny coming back to read it. I'm glad you could relate, Kira. Because regardless, this experience is absolutely a real thing! 😁

    • @quantumwave1036
      @quantumwave1036 4 роки тому +1

      I won't lie there have been times where I have run simple addition into my calculator because I wasn't so sure of such a simple answer.

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    @elhadmuharemovic5870 6 років тому +37

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    Test two is coming up for me and the quarter is almost over. I need some motivation

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    @levioffner 3 роки тому

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    @dhirajthapa5797 3 роки тому

    LIFE SAVER

  • @labanmupendah4222
    @labanmupendah4222 2 роки тому +2

    Excellent explanation. This is the topic in which I have been facing challenges for the past 3years. Thanks very much for your help 🙏

  • @namemanguy
    @namemanguy 2 роки тому

    Good vid dude

  • @monkeygirl4160
    @monkeygirl4160 5 років тому +1

    more helpful than my prof lol!!!

  • @TheCyberSatyr
    @TheCyberSatyr 4 роки тому +10

    If you memorize the unit circle, you always have access to it lmao. Cant wait for calc 1

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    i owe you my life

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    @okiemuteabe3331 2 роки тому

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    @legistergregory8108 7 років тому +1

    awesome!

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    I appreciate you so much.

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    @manojkataria5055 6 років тому

    Great helper

  • @mohammedalmikail420
    @mohammedalmikail420 4 роки тому +1

    Thank you so much!! helped me a lot

    • @gracediama6302
      @gracediama6302 4 роки тому

      Mohammed AlMikail so you going through quarantine to huh 😭

    • @mohammedalmikail420
      @mohammedalmikail420 4 роки тому

      @@gracediama6302 yep :( and daily math quizzes aren't helping lol

  • @sethnary3974
    @sethnary3974 Рік тому +2

    At 10:44 is there anything wrong with doing tan(60-45) or should I learn to use the lowest possible combination for good practice?? Just wondering if there is any difference?

  • @brayton6683
    @brayton6683 4 роки тому

    I'm so glad school are opening soon this staying at home not really having classes is killing me . I'm really losing focus at the task at hand which is school and studying like staying at home just makes me more lazier 😥

  • @saki7952
    @saki7952 2 роки тому

    Thanks a lot

  • @laolangewilhelmina8851
    @laolangewilhelmina8851 Місяць тому

    Why my teacher can't teach like this.😏.. you deserve a reward Sir 🙏

  • @deranged8312
    @deranged8312 Рік тому

    Damn this vid rly came up in my feed after my test 😭

  • @daviddelaney363
    @daviddelaney363 2 роки тому

    Yes am learning this during the pandemic. Eventually will conquer Maxwell’s equations. .

  • @vladimirmoravek2646
    @vladimirmoravek2646 5 років тому +1

    [15:35/21:44] Mark, tan(23pi/12) = tan(2pi-pi/12) = tan(-pi/12) = -tan(pi/12) = (3)^(1/2) - 2. (per previous example)

  • @zealopez7958
    @zealopez7958 Рік тому +1

    I just moved to a new country and I’m wayyyy behind u just taught me in twenty minutes more then my professors have in weeks from the bottom of my heart I thank u

  • @anaaniyarashiid8510
    @anaaniyarashiid8510 4 роки тому

    Thank you