Differentiation - Trig. functions sin(x), cos(x) and tan(x) : ExamSolutions Maths Revision

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  • Опубліковано 18 жов 2024

КОМЕНТАРІ • 22

  • @leejohnson197733
    @leejohnson197733 Рік тому

    this really helps and makes things a little clearer how would i go about i = sin (5t^3 + 6t -3 ) would this be i = cos(5t^3 + 6t -3) then (15t^2 + 6 ) ?? not sure i did that correctly

  • @TSMK900
    @TSMK900 10 років тому +4

    For these series of videos,do i need to understand Basic Trigonometry to be able to integrate/differentiate Sin,Cos and Tan?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  10 років тому +3

      Not to get started but in further questions such as simplifying answers or finding stationary points that involve trig. functions you may have to know some of the basic identities and solving equations.

    • @TSMK900
      @TSMK900 10 років тому +2

      ExamSolutions Do you have any videos that you can recommend to me to help me to learn some of the basic identities and solving equations?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  10 років тому +2

      Bayezid Yes, have you been on my site and looked under trigonometry?

    • @TSMK900
      @TSMK900 10 років тому +1

      ExamSolutions There are quite a number of videos on your site regarding trigonometry,i actually don't know which video would be specific to help me to learn some of the basic identities and solving equations.
      Can you send me a link please?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  10 років тому +1

      Bayezid heck out the trigonometry section on here www.examsolutions.net/maths-revision/syllabuses/Edexcel/period-1/C3/module.php

  • @helenday5031
    @helenday5031 4 роки тому

    A great lesson, explaining so clearly and helpfully.

  • @azadkaya
    @azadkaya 8 років тому +2

    What is sec^2?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  8 років тому +4

      +Azad Kaya sec(x) is 1 / cos(x) so sec^2(x) is just this all squared.

  • @jackfoy9231
    @jackfoy9231 5 років тому

    What do you do if you have y=5sin(3x^2)

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  5 років тому

      Use the chain rule. where t= 3x^2 so y=sin(t).
      Then dy/dt = cos(t) = cos(6x) and dt/dx = 6x .
      Since dy/dx = (dy/dt ) (dt/dx) = 6x sin(3x^2)

    • @darshchaudhari5098
      @darshchaudhari5098 5 років тому +1

      30x cos(3x^2)

  • @ElemenTzEdits
    @ElemenTzEdits 9 років тому +1

    confused to why it becomes 3/7cosx instead of 21cosx
    you multiplied cosx with the 3 but the 7 stayed as a denominator, help!

    • @elessar5247
      @elessar5247 8 років тому

      +eyeman I was thinking the exact same thing, he might've made a silly mistake or then again we could be wrong too, although since 3/7cosx is the same as (3/1)/(1/7cosx) I'd say that we're probably right.

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  8 років тому +1

      +Ahoora Saadat I am correct, there is no mistake. It is -3(1/7)[1/sec(x)] which is -3(1/7)cos(x) which when differentiated is (3/7)sin(x)

    • @mahmoudm451
      @mahmoudm451 8 років тому +1

      +eyeman just think of it as 3÷ (7*secx) and secx is 1/cosx so 3÷(7*1/cosx) which is the same as 3÷(7/cosx) and if we change the division sign to multiplication sign we should take the reciprocal of 7/cosx which becomes 3*(cosx/7) which becomes 3cosx/7.

  • @mihhailigumenov7088
    @mihhailigumenov7088 4 роки тому

    Sorry, are you sure that in second equation the answer will be 5sec^2x ? I managed to get 5cosec^2x

  • @gavynlim7088
    @gavynlim7088 6 років тому

    does this follow the quotient rule?