General solution grade 12 Trigonometry

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  • Опубликовано: 8 ноя 2024

Комментарии • 56

  • @unicornlesa6112
    @unicornlesa6112 3 года назад +52

    Made trig easy😮Thank you!!

    • @kevinmathscience
      @kevinmathscience  3 года назад +40

      Atleast it is not as "triggy" anymore :) But seriously, glad it helped you!

    • @infiniteso3430
      @infiniteso3430 3 года назад +3

      @@kevinmathscience good one 😂😂
      I agree. You made it very easy

    • @jordanyoung1545
      @jordanyoung1545 Год назад +1

      Don't be delulu

    • @inaminkosi1958
      @inaminkosi1958 6 месяцев назад +1

      ​you couldn't have made it any triggier😂​@@kevinmathscience

    • @ilovecheeseandsprinkles
      @ilovecheeseandsprinkles 5 дней назад

      😂😂😂😂😂😂​@@kevinmathscience

  • @thando_tlng
    @thando_tlng Год назад +5

    5:31 nope sir my teacher did not teach me thank you for highlighting that ❤

  • @spheleledlamini4012
    @spheleledlamini4012 2 года назад +15

    Ngiswele amagama okukubonga♡

  • @surprisendlovu8251
    @surprisendlovu8251 2 года назад +7

    For question 2, if you use 90+n.360 , would it be wrong?

  • @nakhanezulu
    @nakhanezulu 3 года назад +8

    why dont you add the minus when working out shift sine of -1/2 on the calculator?

    • @kevinmathscience
      @kevinmathscience  3 года назад +10

      Hello Nakhi, there are some schools (maybe 5 schools out of every 100 that include the negative). Does your teacher use a negative on the calculator? Then your approach at the end will have to be a little different.

  • @TheMrIndividualist
    @TheMrIndividualist 2 года назад +5

    3:40 Question 2, could we divide both sides by cosx?

    • @kevinmathscience
      @kevinmathscience  2 года назад +5

      Hello, I do mention this part at 3:40 :) Go check that part again. In summary, no we must not divide by cosx. Rather take everything to one side and then factorise.

  • @inaminkosi1958
    @inaminkosi1958 6 месяцев назад

    Life saver,thank you sm,God bless you!!!

  • @thando_tlng
    @thando_tlng Год назад +1

    MR KEVIN
    THE compound formula says for sin
    Sin ( A - B ) = Sin A . Cos B - Cos A . Sin B
    1:24 but here I am seeing Sin , Cos , Sin , Cos not Sin , Cos , Cos , Sin
    So does the order matter?

  • @thando_tlng
    @thando_tlng Год назад +1

    5:25 Sir so if it was sin I was going to use 180
    And say
    X=90 + n . 180

  • @NontandoMbeje
    @NontandoMbeje Год назад +2

    Sir for question 2 is it fine if we use the quadrants 1 and get x=90+k.360;... & Quadrant 4 x=270+k.360;...?

  • @Ndiwa.
    @Ndiwa. Год назад +2

    Hi sir. For the second one, by dividing by cos on both sides i still mamaged to get 30° in the correct quadrants too. I believe this may be a coincidence however would you mind explaining exactly why we cant divide by cos. Pleaseee.

    • @thandolwethundaba980
      @thandolwethundaba980 8 месяцев назад

      I think it's because when you divide you won't find the general solution for cos

  • @kingcado4903
    @kingcado4903 2 года назад +1

    Thanks, please do calculus of motion and rates

    • @kevinmathscience
      @kevinmathscience  2 года назад +3

      Noted!

    • @LufunoMusetha
      @LufunoMusetha 7 месяцев назад

      ​@kevinmathscience sir if I want to use co -function sin2x=-cox
      Sin2x=- sin(90-×)
      2x= 90-× or 2x=×-90
      Which one is correct between two aproch

  • @itsyokirlvee5005
    @itsyokirlvee5005 2 года назад +3

    So if we have this kind of scenario (where cosx=0)we will Only have 90+n.180;nez?? And no other solution?

    • @kevinmathscience
      @kevinmathscience  2 года назад +2

      Yes correct :) Draw the graph. You will see that cosx = 0 at 90 degrees and then every 180 degrees after that :) 90, 270, 450... so on :)

    • @6lue6ell78
      @6lue6ell78 2 года назад +1

      @@kevinmathscience how come we don’t also write the 360-90 +k360 as a solution because cos is also positive in quadrant four?

    • @MikiMaeKnox-Davies
      @MikiMaeKnox-Davies 2 года назад +3

      @@6lue6ell78 He is using a different method to that one where I think he's combining both solutions in 1 step. If you did the method that includes both quadrants as separate solutions then yes you would include 270+k.360 as one solution and the other would be 90+k.360

    • @6lue6ell78
      @6lue6ell78 2 года назад

      @@MikiMaeKnox-Davies thank you

  • @oritondanemalale4674
    @oritondanemalale4674 Год назад +1

    don't we normally use 360k ?

  • @danyaalpatel3517
    @danyaalpatel3517 Год назад +1

    We need a face reveal from this man 🙏🙏

    • @b.s8855
      @b.s8855 6 месяцев назад

      Hes already shown his face many times,hes a sexy man

  • @Abdul_Basit_Mohammad
    @Abdul_Basit_Mohammad 5 месяцев назад

    do you use a mouse or a pen when you solve all these questions? i can't imagine how hard it is to use a mouse or a touchpad.

  • @mandisamabika
    @mandisamabika Год назад

    Mr Kevin what happens when you are given this sin2©=cos© and you are required to give general solution?

  • @itumelengmapitse5835
    @itumelengmapitse5835 7 дней назад

    Sorry sir,couldn't we have just divided -cosx by the cosx from 2sinx.cosx so that we have 2sinx =-½?

  • @Vandell-ez4du
    @Vandell-ez4du 17 дней назад

    For question 2 shouldn't the general solution for cos be +n.360, bcoz we only use 180 if it's tan

  • @ffunits5k59
    @ffunits5k59 Год назад +1

    Sir , how do you know which questions require a certain kind of approach ?

    • @thando_tlng
      @thando_tlng Год назад

      They will ask determine the general solution

  • @NontandoMbeje
    @NontandoMbeje Год назад +1

    Sir which one do we use? n.360 or k.360😭 I'm confused?

    • @thando_tlng
      @thando_tlng Год назад +1

      It does not matter just remember KEZ / NEZ
      At the end

  • @lelo_m9837
    @lelo_m9837 7 месяцев назад

    Sir why don't we include 360-30 in the first one

  • @inamnontangana742
    @inamnontangana742 2 года назад

    for question 2 ,is it wrong write +/- 90 + 180k ?

  • @aidenbillings8161
    @aidenbillings8161 2 месяца назад +3

    I'm writing in 2.5 hrs😢😂

  • @ek5116
    @ek5116 4 месяца назад +1

    Idk why we add n.360 thats what confuses me 😢

  • @rishongileshikwambani8215
    @rishongileshikwambani8215 2 года назад +2

    Sir, is it also the same for other trig ratios? 5:19

    • @kevinmathscience
      @kevinmathscience  2 года назад +4

      It works with 0,1,-1 and with cos and sin.
      So if sin = 1 for example. Draw a sin graph. See where it is equal to 1. This would be at 90. Then see how often it repeats that point. This time it would be every 360.
      So x = 90 + k.360 :)

  • @anastaciareed1741
    @anastaciareed1741 Год назад +1

    Sir, in an exam, how would you know to use this instead of stopping at a certain point?

  • @brunofernandes9347
    @brunofernandes9347 2 года назад +1

    Isn't cos 360 not 180?

    • @kevinmathscience
      @kevinmathscience  2 года назад +2

      Yes but when using the special graph method, then it can change. You just need to look at the graph.
      If you were not using the graph then yes it would be 360 :)

  • @Smanga_77Ntimane
    @Smanga_77Ntimane 8 месяцев назад

    So if l let 6x=x and 12x=2x is it correct

    • @poopy-sq4wp
      @poopy-sq4wp 8 месяцев назад

      To my understanding yes (I'm also learning)

  • @happyngobeni7776
    @happyngobeni7776 2 года назад +3

    Wow 😅😁

  • @ljoe-BaBa
    @ljoe-BaBa 2 года назад +1

    So easy

  • @mduluke6376
    @mduluke6376 Год назад +1

    Momo trig,🤤