Grade 12 Trigonometry Lesson 7 General solution Trig Equation

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  • เผยแพร่เมื่อ 3 ธ.ค. 2024

ความคิดเห็น • 114

  • @ncumisakroti6932
    @ncumisakroti6932 2 ปีที่แล้ว +30

    For the first time I'm doing this with understanding , thanks to you Mr Nkosi .

  • @clareiyer9429
    @clareiyer9429 2 ปีที่แล้ว +71

    Thank you sir, I'm in matric this year and your videos are a life saver 🙏🙌

  • @clairepurdy7238
    @clairepurdy7238 2 ปีที่แล้ว +109

    Third quadrant was 180+41,81 which was 221,81
    Fourth quadrant was 360-41,81 which was 318,19

  • @sbongakonkenkumbuza94
    @sbongakonkenkumbuza94 ปีที่แล้ว +7

    You are the best teacher ever engathi iNkosi ingakubusisa ngakho konke okufisayp

  • @rickymartin5326
    @rickymartin5326 2 ปีที่แล้ว +35

    Jus wanted to thank you for your help sir🔥I'm a first timer matriculant this year and I actually got a Level 6 for both Maths and Physical Sciences for my Trials thanks to you🙏🏾🙏🏾parents were very proud (My big brother recommended your channel)
    With all the help you've given to me, I'll be aiming for 7 now🙏🏾❤Thank You so much Sir

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +2

      It’s my sincerest pleasure… Your big brother really loves you.

  • @DorN511
    @DorN511 ปีที่แล้ว +7

    Thank you so much sir for the lesson😊🔥 I'm actually rewriting my matric so since I'm not attending at school, Your TH-cam videos have been of great help so I thank you🙏 and I've got the solution for the problem you posted at the end of the video!.....
    X=221.81 +k.360 or X=318.19 + k.360 ; KEZ

    • @MlungisiNkosi
      @MlungisiNkosi  ปีที่แล้ว +1

      You're most welcome and your answer is correct 👍🏾

  • @kwanele1253
    @kwanele1253 2 ปีที่แล้ว +19

    I am very sure that your students get distinction. Great lesson as always👏👏

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +16

      You’re one of them and you’ll get one…

  • @vhugalatshishonga2217
    @vhugalatshishonga2217 2 ปีที่แล้ว +14

    AS VARSITY STUDENT WE ARE STRUGGLING WITHOUT YOU NKOSI

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +6

      I will be with you in the near future 😊

  • @keaolebogadenice
    @keaolebogadenice ปีที่แล้ว +5

    I bless the day I discovered your channel , God bless you Malume.❤

  • @tandzilematsenjwa9811
    @tandzilematsenjwa9811 ปีที่แล้ว +2

    I have just started these online classes and I find them really helpful thank you Sir.

  • @thabelomphaka
    @thabelomphaka ปีที่แล้ว +12

    Hello sir ,I wanted to ask why we used arc cos of -0.6 instead of cos of 0.6 and used the negative sign in quadrants where cos is negative like we did with the first question of sin

    • @oratiler2243
      @oratiler2243 8 หลายเดือนก่อน +2

      I have the same question

  • @palesasefakwane-ve6zk
    @palesasefakwane-ve6zk ปีที่แล้ว +4

    so when we have a negative reference angle, the negative is for the quadrants only we don't use it after choosing the correct quadrants

  • @ChizzboyBDDube
    @ChizzboyBDDube ปีที่แล้ว +2

    Ehh i managed to solve general solution for the first time i got my answer as 221.81 and 318.19 thanks for your help🙏

    • @lebogang5424
      @lebogang5424 ปีที่แล้ว +1

      Can I ask how you got 318.19 bcz I got 401.81

  • @estherondongo1744
    @estherondongo1744 หลายเดือนก่อน +3

    I have question if anyone sees this commemt plz respond,when your lookong for the reference angle and lets say you got cosx=-6 and to find the reference angle you must say cos-1(6) do you include the negative sugn by the six.(-6) And say cos-1(-6) my teacher said the value inside those brackets mist always be positive so i am confused my Nkosi did ot differently

    • @nemotheemo
      @nemotheemo หลายเดือนก่อน

      Hi the negative sign is for the Cartesian plane position, cos is negative in the 2nd and 3rd

  • @Unknown-rk8lf
    @Unknown-rk8lf ปีที่แล้ว +1

    Sir you are a star,you helping me everyday continue the great work 🙌

  • @cozyy.asf_rsa
    @cozyy.asf_rsa 2 ปีที่แล้ว +6

    You are a good teacher♥️i salute uuu

  • @CaptainMaleka
    @CaptainMaleka ปีที่แล้ว +1

    I find your videos very helpful. I just want to thank you for your effort and time helping us. Thank you "our favorite uncle"🕺

  • @gradimukwasa1386
    @gradimukwasa1386 2 ปีที่แล้ว +8

    Thank you so much, please do euclidean geometry soon

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +5

      Keep your eyes glued… Let’s make a Euclidean Geometry date next week

    • @gradimukwasa1386
      @gradimukwasa1386 2 ปีที่แล้ว +2

      Thank you ❤️

  • @LifeWithAaliyah_
    @LifeWithAaliyah_ 2 ปีที่แล้ว +3

    God bless you more from what you have already.
    Thank you so much Sir😭❤.

  • @spheleledlamini4012
    @spheleledlamini4012 2 ปีที่แล้ว +2

    Made my life easier, thank you

  • @lareinejen8815
    @lareinejen8815 2 ปีที่แล้ว +6

    X= 221,81+k180 OR X=318,19+k360 sir this is what I got

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว

      I’m glad you tried it out. Well done 👏🏾

  • @sunnyboynhleks1926
    @sunnyboynhleks1926 2 ปีที่แล้ว +8

    Good day sir, you said you'd post another video on general solutions but I checked and you have not yet done so.
    Your videos are such great help thank you.

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +1

      I am trying to finish content on other topics

  • @achievermaseko1953
    @achievermaseko1953 2 ปีที่แล้ว +1

    YOU ARE SUCH A GOOD TEACHER !!!

  • @wendypromise218
    @wendypromise218 ปีที่แล้ว +1

    The lessons are very helpful thank you sir 🙏

  • @supiiiey9064
    @supiiiey9064 2 ปีที่แล้ว +5

    Evening sir I'm actually lost and not sure to substitute the negative into the calculator when calculating the reference angle, because we were told not to substitute the negative and if don't it gives us different answers.

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +2

      Well it depends… i think my method makes things easier

    • @Mbbarliie_16
      @Mbbarliie_16 2 ปีที่แล้ว

      also with us we told not to substitute a negative reference angle

    • @mbalivalentia5570
      @mbalivalentia5570 ปีที่แล้ว

      Same here, we are also not allowed to include negative

  • @its.shammah
    @its.shammah 2 ปีที่แล้ว +2

    During coz why dd you add 360 instead of using reduction formulae

  • @carlavanrooyen340
    @carlavanrooyen340 2 ปีที่แล้ว +14

    i have: x=41.81 +k.360 kEZ
    x=180 + 41.81
    x=221.81
    x=360-41.81
    = 318.19
    is that okay?

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +3

      Well done 👏🏾

    • @thejoker9558
      @thejoker9558 2 ปีที่แล้ว +1

      Hi y was the negative excluded on the first solution but included on next

    • @thejoker9558
      @thejoker9558 2 ปีที่แล้ว +1

      Ohhh sorry I see 4th quadrant 360 minus theta...🙈🙊silly me

  • @CULUMANCO
    @CULUMANCO 2 ปีที่แล้ว +1

    Congratulations on 100k

  • @lebogangsgalaxy1322
    @lebogangsgalaxy1322 3 หลายเดือนก่อน +2

    I'm I still correct if I first find the value of x

  • @nalediramogayane4840
    @nalediramogayane4840 2 ปีที่แล้ว +2

    Hi sir, I just wanted to know if we only add the KEZ on cos and sin graphs only?

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +3

      No, even for the tan graph

  • @tanatswakahari7459
    @tanatswakahari7459 2 ปีที่แล้ว +3

    Do we have to write KEZ at every step?

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +2

      Not at every step… When you’ve done it once, that’s enough

  • @tshepisomogoshadi5335
    @tshepisomogoshadi5335 2 ปีที่แล้ว +2

    Thank you sir may god bless u❤

  • @yes_smyl
    @yes_smyl 2 ปีที่แล้ว +1

    When we getting our reference angle of 4 question 2 do we put the negative taking the angle cos-1 (-0.6)? Or cos-1 (0.6)

    • @yes_smyl
      @yes_smyl 2 ปีที่แล้ว +1

      Nevertheless, Thank you, you have already answered my question

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว

      I love it when that happens

    • @estherondongo1744
      @estherondongo1744 หลายเดือนก่อน

      So whats the answer? I also have the same question

    • @osylinej
      @osylinej หลายเดือนก่อน

      ​@estherondongo1744 did u get the answer?😭

  • @OB1_12
    @OB1_12 2 ปีที่แล้ว +2

    For tan will it be K.180 as standard even if we haven't been told to divide within the equation or is it like sin and cos being k.360?

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +1

      When you divide remember you also divide that too.

  • @thabangdesmond4466
    @thabangdesmond4466 ปีที่แล้ว

    Sir, does the reference angle determine the quadrants we work under ?
    Im asking because for Sin its angle was Positive and we took the quadrants where sin is Positive at....... therefore for cos and tan we got negative reference angle and we used quadrants where Cos and tan are negative. I hope u understand my question💔🙏

  • @gracemaria1696
    @gracemaria1696 2 ปีที่แล้ว +5

    X=41,81+k360kez or X=138,19+k360kez

  • @lucianmsimango5920
    @lucianmsimango5920 2 ปีที่แล้ว +6

    my first answer was 221.81 and my second answer was 318.19

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +1

      Great attempt

    • @Angel-ss2bh
      @Angel-ss2bh 2 ปีที่แล้ว

      First answer is 138,19
      And second is 221,81

  • @Rinaee_dx
    @Rinaee_dx 3 หลายเดือนก่อน +1

    Sir, why do you say the "power of -1" is arc and not inverse?? Or does it mean the same thing??

    • @MlungisiNkosi
      @MlungisiNkosi  3 หลายเดือนก่อน

      The correct way is to say arc or inverse I agree…

  • @nonkululekongobe7470
    @nonkululekongobe7470 ปีที่แล้ว +1

    Good evening sir for 3x=11.54 +k.360
    Why can't we divide by 3 as well?

  • @sunnyboynhleks1926
    @sunnyboynhleks1926 2 ปีที่แล้ว +1

    Good day again sir, may I enquire about tan of it will have one or two solutions since it's period is 180 degrees.

  • @Sne3333
    @Sne3333 3 หลายเดือนก่อน +1

    give umalume his flowers!!!!!🤭

    • @MlungisiNkosi
      @MlungisiNkosi  3 หลายเดือนก่อน

      As’bonge 🙏🏾

  • @eljay3159
    @eljay3159 ปีที่แล้ว +1

    Sir please can you actually give the correct answer cause I see different answers in this comment section but you seem to approve all and that is confusing me as to which is really the right answer....I understand you're motivating us all but actually stating the right one will be of much help🥺🙏🙏

  • @shudumutepe4768
    @shudumutepe4768 2 ปีที่แล้ว +1

    Why cant I write the reference angle as a negative like tan^-1(-3 over 2)?

  • @nthabisengleuta3288
    @nthabisengleuta3288 2 ปีที่แล้ว +1

    Good Day Sir, How Do You Go About Solving An Equation With tan, Like -tan(2x + 45) -1,5 = -2,1

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว

      Follow the steps I outlined in this video

    • @nthabisengleuta3288
      @nthabisengleuta3288 2 ปีที่แล้ว

      I'm A Bit Confused Since It Is Tan

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว +2

      @@nthabisengleuta3288
      tan (2x + 45) = 0.6
      (2x+45) = tan^-1 (0.6)
      2x+45 = 30.96 + k180

    • @nthabisengleuta3288
      @nthabisengleuta3288 2 ปีที่แล้ว +1

      Thank You Sir, Makes Sense.

  • @chriskatlegomokgope9555
    @chriskatlegomokgope9555 2 ปีที่แล้ว +1

    Next year I'll be in matric.. i am greatful for your teaching uncle.. i am already confident to ace it .🏅

  • @Kharabian_karabo
    @Kharabian_karabo ปีที่แล้ว +1

    When I need assistance with maths and physics ...is there any amount to be paid?

    • @MlungisiNkosi
      @MlungisiNkosi  ปีที่แล้ว

      On TH-cam, no… But private lessons, yes

  • @ian_sambo04
    @ian_sambo04 2 ปีที่แล้ว +1

    x is equal to -41 + k360 KEZ. Is that Okay?

    • @MlungisiNkosi
      @MlungisiNkosi  2 ปีที่แล้ว

      That’s a rounded off value, right? Please remember the other solution as well…

  • @nomfundisoluvuno6202
    @nomfundisoluvuno6202 ปีที่แล้ว +2

    Sir tell me if I'm wrong mina I got 180+41,81+I.360
    x=221.81+k.360
    x=360-180-41,81+k.360
    × =138,19+k.360
    Because when you get second solution for sin its 180-reference angle so since it's in the 4rh quadrant it's that 360 minus that 180 you supposed to use in the second solution minus reference
    You can check sir
    Even if you don't omit the the reference if you add 180 on the non-omited reference you get 138.19

    • @MlungisiNkosi
      @MlungisiNkosi  ปีที่แล้ว

      I’ll pin my answer on the comments

  • @leekay.angelsinoxolo572
    @leekay.angelsinoxolo572 2 ปีที่แล้ว +1

    Got x=221,81 kEZ and x=138,19 kEZ

  • @CTCheese
    @CTCheese หลายเดือนก่อน

    General solution
    X=221,81 + k360;k€z or
    X=318,19 + k360,k€z

  • @dianagalx
    @dianagalx 2 ปีที่แล้ว +2

    Hi sir I got
    X = 41,81 + k360 KEZ
    And
    X = 136,19 + k360 KEZ
    Is that correct?

  • @makhaokanimariashibamba
    @makhaokanimariashibamba 8 หลายเดือนก่อน +1

    can i get 2024 video

  • @saraasare699
    @saraasare699 2 ปีที่แล้ว +1

    Please what about +90

  • @glendahshalang388
    @glendahshalang388 ปีที่แล้ว

    Sire you are doing it differently to me😭

  • @DanielAddai-gy2kt
    @DanielAddai-gy2kt 7 หลายเดือนก่อน +2

    Hello my honorable colleague, please can you revisit this video and make serious corrections over here because there are lots of mistakes that need to be rectified