Verifying a trigonometric Identities

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  • เผยแพร่เมื่อ 22 ธ.ค. 2024

ความคิดเห็น • 116

  • @brianmclogan
    @brianmclogan  ปีที่แล้ว +2

    which side should you pick to verify the identity? - th-cam.com/video/efYHuDfSkBY/w-d-xo.html

  • @danielbansil6031
    @danielbansil6031 4 ปีที่แล้ว +191

    7 years from now and he still saving everybody's grades. You a legend. Keep it up

  • @Ashley_Mariee
    @Ashley_Mariee 2 ปีที่แล้ว +15

    had this exact problem, only difference was that sin was being subtracted from 1 rather than being added. Thank you so much!! Your videos always come in clutch.

  • @ethanplush7153
    @ethanplush7153 ปีที่แล้ว +22

    my trig teacher sucks, half of the class has dropped and the other half is failing. i think i’m the only one that will pass the exam tmr thanks to you

  • @faithlee1279
    @faithlee1279 4 ปีที่แล้ว +7

    THANK YOU!!! I am taking an online class right now. (Duh, all classes right now are online.) But in all seriousness, I had this exact same problem, and I'd gone through trying to solve it on my own for like an hour, had left and come back to it, and was on the penultimate step. When I watched this video, I realized about halfway through the video, before it even got to that step where I'd been stuck, what I hadn't thought of before (which was factoring the two out and being able to eliminate the (1+sinx). This video was an answer to my prayers, quite literally.

  • @raedhaq166
    @raedhaq166 6 ปีที่แล้ว +95

    Lol why did i get so excited when he got the answer

  • @nf3288
    @nf3288 6 ปีที่แล้ว +24

    I would like to learn about this topic from the beginning, do you have a playlist on solving for identities.

  • @iliveinacrowdedhouse368
    @iliveinacrowdedhouse368 4 ปีที่แล้ว +9

    I like how you get straight into the solving

  • @darleneflores1812
    @darleneflores1812 3 ปีที่แล้ว +4

    but why at 4:58 you say 'and yes it is' so sassy hahah i love it thank you so much

  • @brianalal8996
    @brianalal8996 6 ปีที่แล้ว +10

    Hi Prof.Your videos are really helping me a great deal.Thank you.
    How do you go about this problem;
    "Find the rectangular equation of the curve whose parametric equations are X=a cos t and Y=b cos t for from -ve infinity to +ve infinity given that a is not equal to b .Name two possible curves that can be represented by the given equation."
    Brian.

  • @67hutch
    @67hutch 2 ปีที่แล้ว +1

    Yay! I’m very new to trig identities but I decided to pause the video at the start and try this one for myself. I feel so happy that I was able to do it all on my own!! :)

  • @iarawy.
    @iarawy. ปีที่แล้ว

    what he explained in 5 minutes and 11 seconds is moreeeee than what my professor did in 3 lectures 😅
    All respect and thanks

  • @ecuajerry277
    @ecuajerry277 7 ปีที่แล้ว +24

    ohhhhh my god you helped me so much, keep up these videos. You are the best !!!!!!

  • @Tuliella
    @Tuliella 4 ปีที่แล้ว +2

    Oh my goodness this exact question was a question on my take home test. I was starting at it for hours struggling, this helped so much!! Thank you!!

  • @imextorted3783
    @imextorted3783 หลายเดือนก่อน

    I have the most trouble with factoring returning to college after taking around 2 Off years benefited me 1 bit. I forgot a lot of core algebra thank you

  • @teresagomez-ob3dn
    @teresagomez-ob3dn ปีที่แล้ว +1

    Love steps 7 and 8. Need to make that into a poster for my classroom!

  • @gregorysmith9441
    @gregorysmith9441 3 ปีที่แล้ว +1

    bro was saving my life while i was in like 4th grade and i didn’t even know it yet

  • @zovuyopendu
    @zovuyopendu 4 ปีที่แล้ว +7

    With the second step, why is it that your binomial is not 1 + sin^2 (theta) but is 1^2 + 2 sin(theta) + sin^2 (theta)?

    • @theworlddiscoverer7316
      @theworlddiscoverer7316 ปีที่แล้ว

      you foil it because its 2 binomials multiplying

    • @zovuyopendu
      @zovuyopendu ปีที่แล้ว +1

      @@theworlddiscoverer7316 Damn that took years. Thank you

  • @mcp22baseball
    @mcp22baseball ปีที่แล้ว

    Thanks a bunch for helping me for years.

  • @obuyacharles8839
    @obuyacharles8839 ปีที่แล้ว

    Viva sir ...your ideas are master class ....am an engineering student and am in great love with your mathematics

    • @brianmclogan
      @brianmclogan  ปีที่แล้ว

      So happy to be able to help!!

  • @katelynvalenzuela7787
    @katelynvalenzuela7787 5 ปีที่แล้ว +1

    Why did you factor out the 2?

  • @zhenn3000
    @zhenn3000 2 ปีที่แล้ว

    I just wanna ask if,, is there no rule or anything when applying operation? Like i can multiply or add 1+sin0 in every way i want to get the answer im looking for?

  • @Stratos-vh6wi
    @Stratos-vh6wi 2 ปีที่แล้ว +1

    Thx for helping me understand proofs!

  • @juanelias1309
    @juanelias1309 3 ปีที่แล้ว

    Slowly making more sense! Thanks!

  • @julieg4702
    @julieg4702 ปีที่แล้ว

    you deserve a raise!

  • @woundplayzwveverything
    @woundplayzwveverything 2 ปีที่แล้ว +1

    Really helped thanks 👍(I can ace these problems

  • @wishizuk
    @wishizuk ปีที่แล้ว

    You did a good job on this video! It might be helpful to explicitly write a chain of equalities from the left-hand side to the right-hand side instead of writing only expressions one after another.

  • @lukebuck7037
    @lukebuck7037 ปีที่แล้ว

    thank you brian, you a real one

  • @iZAPMath
    @iZAPMath 4 ปีที่แล้ว

    Great explanation, Brian! Nice work! Keep it up!

  • @akirajaegar5754
    @akirajaegar5754 7 หลายเดือนก่อน

    THANKK YOU OMG i was stuck on a very similar problem this helped so much

  • @GentlemenOfSport
    @GentlemenOfSport 6 ปีที่แล้ว +1

    How does the very first part (1+sin theta ) multiplied by 1 become 1 +2sin theta

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      I should had inserted parenthesis I multiplied (1+sin(theta)) times(1+sin(theta))

  • @ayatomain26
    @ayatomain26 5 หลายเดือนก่อน

    THANK YOU SO MUCH FOR THIS😭❤️

  • @shouganwar5558
    @shouganwar5558 5 ปีที่แล้ว

    if we have fraction to subtract do we still make the denominators the same?

  • @moeultimateteamtv8184
    @moeultimateteamtv8184 6 ปีที่แล้ว +1

    shouldn't ( 1+ sin THeta) * ( 1+ sin theta) = 1+sin^2 theta ?

  • @SeanFlygon
    @SeanFlygon 5 ปีที่แล้ว +2

    Thank you so much, I was having trouble with this and now I get it

    • @assassin5018
      @assassin5018 5 ปีที่แล้ว +2

      I got lost after 0:01

  • @fatihhh1992
    @fatihhh1992 2 ปีที่แล้ว

    He’s just so good at what he does

  • @zedraxll1067
    @zedraxll1067 4 ปีที่แล้ว +1

    wait what happened to the one I thought it would be 2+sin x +1???

    • @alexanderluna9
      @alexanderluna9 8 หลายเดือนก่อน

      I was wondering the same thing

  • @alster724
    @alster724 3 ปีที่แล้ว

    Very easy. My high school memory came back!

  • @masongiano
    @masongiano 4 หลายเดือนก่อน

    This is probably the quickest way to prove 2/cos and 2sec at the same time

  • @YUMANOAH
    @YUMANOAH 7 หลายเดือนก่อน

    that was gr8 sir thank u very much may good guide u and bless u ameen'

  • @arunidiculla5622
    @arunidiculla5622 5 ปีที่แล้ว

    I was searching for some strategy to solve,Great found one.

  • @rebeccathomas9316
    @rebeccathomas9316 5 ปีที่แล้ว

    This helped so much! Thank you!

  • @FirasASalih
    @FirasASalih 5 ปีที่แล้ว

    Hello
    Please what is the integration of
    1/1-x^2

  • @fitfacade
    @fitfacade 6 ปีที่แล้ว

    best way to practice and understand this concept

  • @arieFrenzyKill
    @arieFrenzyKill 4 ปีที่แล้ว

    I've been up all night, watching all your trig identities video for fun... I need help

  • @bow2my
    @bow2my 6 ปีที่แล้ว

    Thank you! You have the clearest explanations

  • @memusicby
    @memusicby 2 หลายเดือนก่อน

    Bro you are a star

  • @ivysomanje9842
    @ivysomanje9842 2 ปีที่แล้ว

    Truly a legend

  • @rensernerijunyltrinidadriv4762
    @rensernerijunyltrinidadriv4762 6 ปีที่แล้ว

    What happensed in the last part? Huhu help me here I'm new for that thing. It's hard to left behind

  • @YLprime
    @YLprime 6 ปีที่แล้ว

    This is really helpful.

  • @ThaiIsland
    @ThaiIsland 5 ปีที่แล้ว

    Awesome thank you Prof!

  • @blessingsvambe8705
    @blessingsvambe8705 2 ปีที่แล้ว

    Well done boss

  • @syskabarbello167
    @syskabarbello167 6 ปีที่แล้ว +1

    thanks . really helped.

  • @rajinikiranjain8816
    @rajinikiranjain8816 7 ปีที่แล้ว

    superb explanation,thanks man

  • @dman9533
    @dman9533 2 ปีที่แล้ว

    THANK U SO MUCH

  • @realsplash2417
    @realsplash2417 5 ปีที่แล้ว

    Really just such a beast

  • @ruturajgantayat5524
    @ruturajgantayat5524 6 ปีที่แล้ว +1

    Thank u

  • @mralbobo8609
    @mralbobo8609 6 ปีที่แล้ว

    Sir help me! ... Prove that sin(x-150)+sin(x+30)=0...

    • @vijay0954
      @vijay0954 5 ปีที่แล้ว

      Sin(x-150) + sin(x+30)
      =Sin(x-180+30) + sin(x+30)
      =Sin(-(180-x-30) + sin(x+30)
      =-sin(180-(x+30)) + sin(x+30)
      =-sin(x+30) + sin(x+30)
      =0

  • @lifethroughart7005
    @lifethroughart7005 6 ปีที่แล้ว

    thank u so much

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      you are very welcome Candy!!

  • @thistiem5745
    @thistiem5745 6 ปีที่แล้ว

    u should have taken LCM of cos theta and 1+sin theta in the beginning

    • @thistiem5745
      @thistiem5745 6 ปีที่แล้ว

      ur trick is nice of multiplying numerator and denominator with suitable terms to get the clearest identity

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      thank you

  • @SanjeevKumar-js4mu
    @SanjeevKumar-js4mu 5 ปีที่แล้ว +1

    You take a really lengthy approach just multiply bot sides with the conjugate on 2nd term and then it's done.

    • @booga9584
      @booga9584 5 ปีที่แล้ว +5

      Yeah its called "teaching".
      -_-

  • @jaredgomez7793
    @jaredgomez7793 2 ปีที่แล้ว

    Bro every time I see a math problem and see it equal to the left side I'm like this some type of witch craft

    • @jaredgomez7793
      @jaredgomez7793 2 ปีที่แล้ว

      Wish I had his email to ask him for help on one of my questions I have

  • @mariellas1780
    @mariellas1780 11 วันที่ผ่านมา

    I love you king

  • @maheshmanvi6596
    @maheshmanvi6596 6 ปีที่แล้ว

    Tq

  • @jeliantaguba
    @jeliantaguba ปีที่แล้ว

    pre calculus is so hard😭and our teacher in their makes our life in studies more complicated.for she don’t know how to discuss well😭😭she’s an engineer though not a teacher😭😭😭skl

    • @brianmclogan
      @brianmclogan  ปีที่แล้ว

      So sorry to hear, keep working hard

  • @thatomofolo452
    @thatomofolo452 ปีที่แล้ว

    ✅✅✅👍

  • @vidyakulkarni4086
    @vidyakulkarni4086 5 ปีที่แล้ว

    Sir you look like Randy Orton

  • @calista8706
    @calista8706 3 ปีที่แล้ว

    No. THANK YOU!

  • @kingajimba7001
    @kingajimba7001 14 วันที่ผ่านมา

    Got exam few hours later😢

  • @tyj626
    @tyj626 5 ปีที่แล้ว

    Who actually uses this in a real job aside from a math teacher?

    • @gr3162
      @gr3162 5 ปีที่แล้ว +1

      Engineers use it for constructing buildings, bridges, houses. Haven't u herd about prblms based on finding the height of a tower or a building?

    • @abdulahad200
      @abdulahad200 5 ปีที่แล้ว +1

      it's not about using it on a daily basis. It's about knowing such thing exist when u do need it.

  • @Vedanth-k8q
    @Vedanth-k8q 4 หลายเดือนก่อน

    soo fucking helpful

  • @Aditya-dv9ln
    @Aditya-dv9ln 6 ปีที่แล้ว

    😅😄😇

  • @robertturni2845
    @robertturni2845 6 ปีที่แล้ว +1

    Theres literally 0 logic behind this shit 😂

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      it takes time and practice

  • @H33a
    @H33a 2 ปีที่แล้ว

    2022

  • @terminatorrebel3759
    @terminatorrebel3759 7 ปีที่แล้ว

    nice vedio thx for your explanation sir thxxxxxxxxxxxxxxxxx a lllllllllllllllllllllllllllllooooooooooooooooooooottttttttttttttttttttttttttttt

  • @MexicanRoboticsEngineer
    @MexicanRoboticsEngineer 4 ปีที่แล้ว

    damn