Prove that 🔥 cos (x + y) = cosx cosy - sinx siny 🔥 Full derivation by

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  • Опубликовано: 13 дек 2024

Комментарии • 122

  • @prathwikvkumar462
    @prathwikvkumar462 Год назад +16

    thank you so much sir✨ you helped me to get 6 marks without any doubt thanks a lot sir 🙏✨❤️🥺

  • @DhruvDilip
    @DhruvDilip 8 месяцев назад +1

    Suberb and concise explaination. Thank you so much sir ❤

    • @DhruvDilip
      @DhruvDilip 8 месяцев назад +1

      Sir please make video for other chapters and for class 12 math🙏

  • @venkteshreddijunnur4422
    @venkteshreddijunnur4422 11 месяцев назад +1

    Supper teaching sir

  • @aguywithwhiskers
    @aguywithwhiskers 10 месяцев назад +2

    Thanks for this wonderful explanation sir ❤. In my book its not explained this easy.

  • @apekshashetty2783
    @apekshashetty2783 Год назад +8

    Thank you sir the only video where we get to understand clearly why cosx and sinx as co-ordinates

    • @Mathemafia
      @Mathemafia  Год назад +4

      I know this is always hard for students to understand. That's why I generally explain this in every relevant tutorial. Glad this tutorial is helpful. Pls share if you don't mind. 🙏

  • @mahinadaf05
    @mahinadaf05 2 месяца назад +1

    Best explanation ever🔥👍

  • @giridharachar7412
    @giridharachar7412 Год назад +6

    Barabar ❌ Brabar ✅
    Apart, Nice Teaching I Understood 👍🏻

    • @Mathemafia
      @Mathemafia  Год назад +3

      Punjabi hoon na ... Is liye naturally aise bolta hoon .. barabar 😎

  • @ChowdappaC-n4n
    @ChowdappaC-n4n 2 месяца назад +1

    Sir U explaining very nice 👍 sir Tq so much sir

  • @pradipbhai2
    @pradipbhai2 Год назад +1

    Aap bahut achchhe se samajha diye hai. Thank you

    • @Mathemafia
      @Mathemafia  Год назад

      Glad you liked it. It took me a lot of time to create this video. It would be great if you share it with your friends. 👍

  • @sanjananeelis5202
    @sanjananeelis5202 Год назад +1

    Thank you so much sir for clear explanation.. ur teaching is very understandable.. helped me alot.

    • @Mathemafia
      @Mathemafia  Год назад

      I am glad it helped. If you don't mind, pls share it with your classmates. I will really appreciate it. 👍

  • @RuqaiyaPatel-i2i
    @RuqaiyaPatel-i2i Год назад +3

    Thank youu sirr i came just 1 day before my exam and u just clear my douts so easily hats off to you sirr

  • @shankuntala2495
    @shankuntala2495 Год назад +2

    Very satisfied by your teaching sir i hope you deserves more subscribers

    • @Mathemafia
      @Mathemafia  Год назад +2

      Thanks for your good wishes. I have spent almost a week to think and prepare to explain this derivation. The derivation given in the book or on internet is quite complex and I did not like that. So I thought of explaining this concept in the simplest possible way. I hope more students would feel it helpful. Cheers!!!

  • @ShivuKumbar-i1g
    @ShivuKumbar-i1g 10 месяцев назад

    Tq sir very intresting and esy method teach you sir and we all request sir more videos you send sir

  • @Muddu_1_4_3
    @Muddu_1_4_3 Год назад +1

    Thank you sir,u made it complex to simple

    • @Mathemafia
      @Mathemafia  Год назад

      My pleasure dear. Please share if you don't mind 👍

  • @RugvedBelgaonkar
    @RugvedBelgaonkar 3 месяца назад

    Thank you so much sir for this explanation ❤❤❤😊

  • @rajivrajhans769
    @rajivrajhans769 6 месяцев назад

    Very simple and excellent explanation.
    Many Thanks sir.

  • @apexcoachinginstitute6381
    @apexcoachinginstitute6381 4 месяца назад

    Very helpful video

  • @mr.adjacent783
    @mr.adjacent783 6 месяцев назад +1

    Thanks 😊

  • @Mathemafia
    @Mathemafia  Год назад +1

    Watch complete chapter 3 (Trigonometric Functions): ruclips.net/p/PLHipvIKLGDdcH1Nb_4Fr78gwG8rr9v1qM

  • @anniandpropanol
    @anniandpropanol 10 месяцев назад +1

    nicely explained video!

    • @Mathemafia
      @Mathemafia  10 месяцев назад

      Pls share it 🙂

  • @MohamedMathani
    @MohamedMathani 6 месяцев назад

    thanks , very useful programme

  • @MDTaufiqueTaj-rp9rq
    @MDTaufiqueTaj-rp9rq Год назад +1

    Thankyou sir ❤

    • @Mathemafia
      @Mathemafia  Год назад

      You are most welcome. I feel that I have put a lot of efforts in this tutorial. It will be really great if I share this video with your friends. Cheers!!!

  • @PapungVeo
    @PapungVeo 8 месяцев назад +1

    Thankyou sir

  • @BrahmdevSharma-n6v
    @BrahmdevSharma-n6v 4 месяца назад

    Xcordinate of B cos(x+y) or -cos(x+y) B is in 2nd quadrent

  • @ApatiZ-f4u
    @ApatiZ-f4u 5 месяцев назад

    8:10 Sir, sign se fark nhi padega kya? Magnitude/Quantity same hai sign(direction) alag hai... So x+(-y)?

    • @Mathemafia
      @Mathemafia  5 месяцев назад

      I hope you are asking about the congruence. If so, we only take the measure of the sides and angles and not the signs for congruency. Imagine 2 different sticks, each of length 3 meters, lying on a plane. We can pick any of these two and place it over the other stick completely overlapping it. Hope it's clear now.

  • @nishanisha2806
    @nishanisha2806 Год назад +1

    Thank u sir

    • @Mathemafia
      @Mathemafia  Год назад

      My pleasure. Pls share with your friends if you don't mind. :)

  • @sumakrishna6265
    @sumakrishna6265 3 месяца назад +1

    Thankyou so much sirr this really helps me a lot to clear my exams🫶🏻

  • @Lxrx_bAs_f
    @Lxrx_bAs_f 4 месяца назад

    Thnkss sir for one of the best explanation but i have 1 doubts..
    During 11:10 why did u take -2 cos x cos y..?and 2 sin x sin y?...what formula to follow there?

    • @Sammit18
      @Sammit18 4 месяца назад

      it is the formula .. (a - b)2 = a2 + b2- 2ab

    • @Lxrx_bAs_f
      @Lxrx_bAs_f 4 месяца назад

      @@Sammit18 haan ok thanks.😅

  • @RamaaK-m8u
    @RamaaK-m8u 4 месяца назад

    Sir do you take math class for Karnataka state board 11 and 12 ncert.

  • @sohan8479
    @sohan8479 Год назад +8

    But sir the distance formula is √(x2-x1)²+(y2-y1)²

    • @Mathemafia
      @Mathemafia  Год назад +1

      Is there any issue in the video?

    • @syednisarjagirdar4048
      @syednisarjagirdar4048 4 месяца назад +1

      🤬🤬🤬​@@Mathemafia

    • @gravity-0
      @gravity-0 3 месяца назад +1

      Bro same meaning as it is getting squared so - avoided

    • @FAHEEM_GAMING37
      @FAHEEM_GAMING37 Месяц назад

      Distance formula can also be written as x1-x2

  • @IM_RAXX
    @IM_RAXX 4 месяца назад +1

    Thxs sir 6 marks bade aram se aagi

  • @hardikjain8378
    @hardikjain8378 Год назад

    Hello sir how are you doing
    Sir if you remember me i have seen your videos from starting of the channel
    Glad to see your channel growing sir
    I just wanna give you an advice sir that you can start class 11,12th applied math classes and this can help you a lot in growing

    • @Mathemafia
      @Mathemafia  Год назад

      I do remember you Hardik :) Thanks for supporting me for so long. I really appreciate it. Also, I feel really happy that you have shown concerns about my channel and want it to grow more and to really great heights. I have started focusing on class 11 as of now and would like to stay focused on it for a while. I may create different videos in between but primarily class 11 be the focus. Anyway, what about you? What are you doing now? What subjects are you studying?

  • @NehaSp-ts5lo
    @NehaSp-ts5lo 11 месяцев назад +1

    Tq ssooooooo much

    • @Mathemafia
      @Mathemafia  11 месяцев назад +1

      Most welcome. Please share it 🙃

  • @hardikjain8378
    @hardikjain8378 Год назад

    Hoping sir next time you had 1mil subscribe
    Thank you sir for helping me in 10th class

  • @lordvampire227
    @lordvampire227 7 месяцев назад

    A point ke coordinates to barabar samajh aa gye ... Pr , B ke kaise aaye.... x+y>90° hoga to vo to right triangle bnega hi nhi to usme trigo lgegi hi ni to B point ke coordinates {cos(x+y),sin(x+y)} kaise aaega

    • @Mathemafia
      @Mathemafia  7 месяцев назад +1

      Watch this part. You will get it.
      ruclips.net/video/MhOqR2l5h6w/видео.htmlsi=E2nmTM9RD3GVRDli&t=233

  • @megamedia9696
    @megamedia9696 10 месяцев назад

    Sir is the distance formula correct ?

    • @Mathemafia
      @Mathemafia  10 месяцев назад

      what is your doubt?

  • @user-gw1fp6ul1s
    @user-gw1fp6ul1s 10 месяцев назад +37

    All the best for your tomorrow's exam 😂😂😂😂

  • @Rajasthan3481
    @Rajasthan3481 4 месяца назад

    Sir jii love u thanks😂

  • @RamaaK-m8u
    @RamaaK-m8u 4 месяца назад

    Sir do you take math class for Karnataka state board 11 and 12 ncert. Our son is in 11 th puc

    • @Mathemafia
      @Mathemafia  4 месяца назад

      I teach only on RUclips 🙂

    • @RamaaK-m8u
      @RamaaK-m8u 4 месяца назад

      @@Mathemafia thank you sir

  • @shanthikoteshwara8698
    @shanthikoteshwara8698 5 месяцев назад

    I have a dout
    How -cos(-y) becomes -cosy, it should be +cos y ?????

    • @Mathemafia
      @Mathemafia  5 месяцев назад +1

      Watch this video: ruclips.net/video/Xkyvz4knDew/видео.html
      You will get it.

    • @ApatiZ-f4u
      @ApatiZ-f4u 5 месяцев назад +1

      cos(-y) = cos y (it is given in NCERT)
      then multiply both sides by -1
      We've -cos(-y) = -cosy

  • @KindInformtion
    @KindInformtion 3 месяца назад

    thanks a ot sir, other videos are waste of time

  • @shivangijha8841
    @shivangijha8841 5 месяцев назад

    Sir distance formula toh (x2-x1)²+ (y2-y1)² hota hai aapne (x1-x2)²+(y1-y2)² karwaya hai

    • @Mathemafia
      @Mathemafia  5 месяцев назад +2

      (2-5)² aur (5-2)² kitna hota hai ... 🙂

    • @thaseenmansoor7936
      @thaseenmansoor7936 3 месяца назад

      Sir one is positive 3 and another is -3

  • @Mohith41
    @Mohith41 4 месяца назад

    ❤️❤️❤️❤️❤️

  • @Mrdoubt-xu1ee
    @Mrdoubt-xu1ee Год назад

    Cosx+y and sinx+y coordinate kis logic se bana

    • @Mathemafia
      @Mathemafia  Год назад

      Can you explain your query? Also mention the time as well?

    • @Mrdoubt-xu1ee
      @Mrdoubt-xu1ee Год назад

      ​@@Mathemafia4:11 me coordinates cos(x+y),sin(x+y) kaise hua kyuki waha par koi right angle nhi ban Raha hai

    • @Mrdoubt-xu1ee
      @Mrdoubt-xu1ee Год назад

      Aap kiska ka reference leke coordinates nhi bata skte hai

    • @Mathemafia
      @Mathemafia  Год назад

      Watch this tutorial from 3 : 30 onwards. You will get the answer you are looking for.
      ruclips.net/video/MhOqR2l5h6w/видео.html

    • @Mathemafia
      @Mathemafia  Год назад

      @@Mrdoubt-xu1ee If you still have any doubt, let me know. I will try to explain.

  • @ramashama-tw3ly
    @ramashama-tw3ly 4 месяца назад

    👍👍🙏🙏

  • @aseeker2559
    @aseeker2559 3 месяца назад

    Sir ye proof kahan Se mila?

    • @Mathemafia
      @Mathemafia  3 месяца назад

      Mere dimaag se :)

    • @aseeker2559
      @aseeker2559 3 месяца назад

      @@Mathemafia kahin se toh padha hoga sir

    • @Mathemafia
      @Mathemafia  3 месяца назад +1

      @@aseeker2559 I felt that the solution provided in the books was over complicated. Hence I thought about simplifying it and that's it. I am sure this is not a new solution and must be available at many places because this is centuries old concept.

  • @SrinathKR-j9m
    @SrinathKR-j9m 2 месяца назад

    Thanku sir where is way to understand but the formula is wrong but the answer is correct how

    • @Mathemafia
      @Mathemafia  2 месяца назад

      Which formula is wrong?

  • @thaseenmansoor7936
    @thaseenmansoor7936 3 месяца назад

    Actually ur distance formula is wrong sir
    Because distance formula is √(x2-x1)2+(y2-y1)2

    • @Mathemafia
      @Mathemafia  3 месяца назад +1

      How much is square of (3-2) and square of (2-3)? 😎

  • @NatnaelNati-p9i
    @NatnaelNati-p9i 26 дней назад

    😥🤯

  • @ParvinderSingh-gk4tn
    @ParvinderSingh-gk4tn 8 месяцев назад

    Distance formula is wrong

    • @Mathemafia
      @Mathemafia  8 месяцев назад

      Kaise?

    • @shanthikoteshwara8698
      @shanthikoteshwara8698 5 месяцев назад

      Yes distance formula=√(x2-x1)2+(y2-y1)2

    • @ApatiZ-f4u
      @ApatiZ-f4u 5 месяцев назад

      (x2-x1)² is same thing as (x1-x2)² as (x2-x1)² = (-1(-x2+x1))²
      Exponent law (ab)^m=a^m × b^m
      = (-1)²(x1-x2)²
      = (1)(x1-x2)²
      = (x1-x2)²
      Similarly for y

  • @HemanthM-q8x
    @HemanthM-q8x Месяц назад

    Diagram Itself is Wrong Please Don't watch this video and Waste Your Precious time

    • @Mathemafia
      @Mathemafia  Месяц назад +1

      Give me one reason that proves it wrong. This is mathematics, and in mathematics you can solve one problem in multiple ways.

    • @HemanthM-q8x
      @HemanthM-q8x Месяц назад

      @@Mathemafia same thing I had written in college and, my master said it's wrong u can't do it like this

    • @Mathemafia
      @Mathemafia  Месяц назад +1

      @@HemanthM-q8x Did you ask him the reason?

    • @Sanketh_poojari
      @Sanketh_poojari Месяц назад +1

      ​@@HemanthM-q8xL master

    • @HemanthM-q8x
      @HemanthM-q8x Месяц назад

      @@Mathemafia Yes Sir He Just Scratched The Answer and Said Diagram Itself Is Wrong

  • @ShobhaU-l6u
    @ShobhaU-l6u Месяц назад

    Thank you sir

  • @pradipbhai2
    @pradipbhai2 Год назад +1

    Thank's sir

  • @nazimanazima6792
    @nazimanazima6792 4 месяца назад

    Thank you