Trigonometric Identities

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  • Опубликовано: 11 сен 2024

Комментарии • 721

  • @vinaysinghram
    @vinaysinghram 4 года назад +216

    i am not exactly a maths student but a doctor came here just for an amateur interest in trigonometry, thoroughly enjoyed your class, you are a great teacher 👍

  • @AalapBhatt007
    @AalapBhatt007 Год назад +17

    The hw answer is 2
    the correct way to do so is to take 2 out, so you will be left with
    Sin^2 25* + Sin^2 65*,
    =2[Sin^2 25* + Sin^2 (90-25)*]
    =2(Sin^2 25* + Cos^2 25*) Since, Sin^2 + Cos^2=1
    =2(1)
    =2

    • @7eguegueh499
      @7eguegueh499 Год назад

      Thank you so much! You showed steps too! You helped me check my answer.

  • @verses4202
    @verses4202 8 месяцев назад +78

    I m watching in 2024 bre I am ultra legend😂😂😂😂😂

    • @akinbodekareem
      @akinbodekareem 8 месяцев назад

      😅

    • @ITZ_YOUR_PRIME123
      @ITZ_YOUR_PRIME123 7 месяцев назад +2

      same boi but tom is my final 2nd sem math exam💀💀💀💀☠☠☠☠☠☠☠☠

    • @navinbu
      @navinbu 6 месяцев назад +3

      Mere jee advanced exam hai day after tomorrow😢😢

    • @navinbu
      @navinbu 6 месяцев назад +2

      Wo bhi 6th STD meh

    • @akrambaloch9756
      @akrambaloch9756 6 месяцев назад +2

      I am ultra lagend promax who is watching in 2024 on feb month😂😂

  • @harinirao.6733
    @harinirao.6733 2 года назад +10

    The homework question solution is 1/√2
    How,
    2sin^25+2sin^65
    Taking common 2sin^
    Then,
    2sin^[25+65]
    =2sin^=90
    Sin^=90/2
    Sin45=1/√2
    Hence proved.

    • @AalapBhatt007
      @AalapBhatt007 Год назад +1

      we cannot add angles, the correct way to do so is to take 2 out, so you will be left with Sin^2 25* + Sin^2 65*,
      =2[Sin^2 25* + Sin^2 (90-25)*]
      =2(Sin^2 25* + Cos^2 25*) Since, Sin^2 + Cos^2=1
      =2(1)
      =2

  • @sarveshaswin5672
    @sarveshaswin5672 2 года назад +9

    I felt very sad because I didn't know anything from trigonometry, but your video helped me very well thank you

  • @rudzanimukosi9908
    @rudzanimukosi9908 7 месяцев назад +18

    2024,anyone?

  • @gowtham2528
    @gowtham2528 4 года назад +11

    Sir, the answer is 2 because 2sin^2 25+2[sin^2(90-25)] =2(sin^2 25+cos^2 25)=2x1=2

  • @Progamer95900
    @Progamer95900 10 месяцев назад +21

    Is there any legends who seeing this on 2023 just like me😂😂😅😅😅

  • @iamvariable01
    @iamvariable01 7 месяцев назад +4

    Thank you sir for making it crystal clear to us.
    Mujai kabhi yay trigonometry samj nhi aati thee but aapke 2 videos dekh kar now i can solve trigonometric questions.
    Today i realized that no subject is boring its the teacher who makes boring. Our teachers made it boring

  • @theartofmusic05
    @theartofmusic05 3 года назад +12

    Sir u explain better than my teacher in school continue that even I am not English and I can understand what ur saying...

  • @pinklady7184
    @pinklady7184 2 года назад +2

    Hi from Ireland. I am watching this video just to refresh my memory of formulas that I have half forgotten. Thank you for making the video. Worthwhile watching.

  • @sangaytee8746
    @sangaytee8746 2 года назад +4

    Sir , i am such a blunt student having complete anathema in solving from Bhutan but your video is encouraging me not to drop maths sir...grateful for your teaching....sir...

  • @silasclems9939
    @silasclems9939 2 месяца назад +3

    Very nice video, anybody who needs maths help from me should indicate too, it's nice to help

  • @SUJITHPAYANDATH
    @SUJITHPAYANDATH 3 года назад +5

    Iam graduated in civil Engineering ..Watching your videos for refreshing my knowledge..

  • @99sundays7
    @99sundays7 4 года назад +7

    Hope to see your *1 million family* soon

  • @smitarahangdale5962
    @smitarahangdale5962 4 года назад +23

    Your teaching is dam awesome sir❤❤

  • @7eguegueh499
    @7eguegueh499 Год назад +2

    Wow. You are helping us students. And I am very happy to find your channel.
    And as for the homework question, I got stuck and my answer got incorrect because I should have written down the identities.
    Sin(90-theta)=cos(theta)
    Cos(90-theta)=sin(theta)
    Tan(90-theta)=1/tan(theta)
    To anyone who is still doing the homework problem, take Mr. Manocha's advice for writing identities down.
    From a comment on this video, one person said they used the identity
    sin^2+cos^2=1 to help solve the problem.
    To students watching the video, I know there's a lot of people getting the right answers. But if you're not, keep going. There's multiple students here trying to get better at math.

  • @sunandap4848
    @sunandap4848 2 года назад +3

    Trigonometry is a great chapter to learn. It's an interesting topic, and the formulas(half angle,compound angle) might seem a bit hard and confusing. But trigonometry is something which is so important to learn and practice.It is really helpful, even in higher standards.Math is fun and also easy.
    Easy peasy lemon squeezy🙂

  • @panugantivijay5531
    @panugantivijay5531 Год назад +11

    Legends only open his videos before exam 😁😅😅

  • @dingdong41105
    @dingdong41105 3 года назад +4

    Sir u are great
    U are teaching all the subjects in a great manner and every student will understand ur class 🙏🙏🙏

  • @meowmeow-xj6ci
    @meowmeow-xj6ci 22 дня назад +4

    Watching this the night before exam 💀😭

  • @singampallisuryaprakasarao6237
    @singampallisuryaprakasarao6237 3 года назад +6

    Sir you are teaching very well sir can you tell Inequation chapter 🙏🙏

  • @vikingcuber3183
    @vikingcuber3183 2 года назад +6

    Really helped Sir
    Perfect for revision before an exam
    Made my concepts even clearer
    Thanks a lot Sir 😊

  • @hrithik7460
    @hrithik7460 4 года назад +8

    Complementary angles r removed from trigonometric identites for the upcoming board examinations 2020-21

  • @ashwininir9535
    @ashwininir9535 4 года назад +6

    2sin^2 25+2sin^2 65
    2(sin^2 25+sin^2 65)
    2(sin^2 25 +cos^2 25)
    sin^2 C +cos^2 C=1
    2*(1)
    =2

    • @aryanrawatxc4885
      @aryanrawatxc4885 4 года назад +1

      Nice:!!

    • @sidra884
      @sidra884 3 года назад

      Oh thanks I was looking for it. I tried it too but didn't get the right answer.Now I can figure out where I was doing wrong.

  • @thirumal.thirumaladiveryni7192
    @thirumal.thirumaladiveryni7192 3 года назад +3

    SIR..we don't have the enough time to do sloving trigonometry functions in polycet exams so any shotcut to identify the ans. plz tell ans. without solving the questions it helps us to identify fast in polycet examination. plz reply my ques.sir.

  • @amazingmathematics8921
    @amazingmathematics8921 3 года назад +4

    Your teaching style is awesome sir😘😘

  • @BalaBala-pm2os
    @BalaBala-pm2os 4 года назад +5

    Circles and area related to circles

  • @sahanabalikai9668
    @sahanabalikai9668 2 года назад +5

    Sir how we find out that this sin or cos in sums

  • @ojasjain8372
    @ojasjain8372 3 года назад +3

    Thank you Sir for the easy explanation, now I understand trigonometry

  • @chaitrachaitra1674
    @chaitrachaitra1674 3 года назад +5

    Sir plzz make sure that u choose more complicated questions

  • @shashankkumar7693
    @shashankkumar7693 Год назад +1

    According to your diagram considering the triangle is right angled at B,
    Or,sin(B+(90°-A)/2)
    Or,sin{(180°-A)/2}=cos[{90°-(180-A/2)}]=sin{(180-A)/2}=cos(A/2)

  • @1leonnnnn
    @1leonnnnn 4 года назад +4

    Sir Your way of teaching is out of the box

  • @nandulal6315
    @nandulal6315 3 года назад +4

    Nice teaching Sir.....excellent explaining

  • @prasoon7916
    @prasoon7916 4 года назад +4

    HW answer is 2 the lecture was also very nice🤗🤗🤗😃

    • @sidra884
      @sidra884 3 года назад +1

      How?,I tried it a lot but didn't get .

    • @prasoon7916
      @prasoon7916 3 года назад +1

      @@sidra884 Find the value of 2 sin²25° + 2 sin²65°.
      Answer : 2 sin²25° = 2 cos² 65
      → 2 cos²65 + 2 sin²65
      → 2 ( cos²@ + sin²@ )
      → 2*1 = 2

  • @sohamkhamari657
    @sohamkhamari657 3 года назад +3

    Awesome video... Easy to learning and understanding.. Very nice video sir
    Thanks sir.... 🤗🤗🤗

  • @VikaskumarSingh-hf5iq
    @VikaskumarSingh-hf5iq 9 месяцев назад +2

    You are great teacher of math subject for trigonometry ❤❤❤❤❤❤❤

  • @mvlakshmi2116
    @mvlakshmi2116 Год назад +3

    I was not really aware of trigonometry...I just came into 8th IIT and the first chapter is this one..At times when my brother studied this one he said that it is so hard to learn..I thought it is easy because it is easy if I understand..When this chapter entered it is not easy to understand!! practice..practice..😔It was now soo easy..That is because of you...Thank you so much sir..😊🤗

  • @s.g.danush8879
    @s.g.danush8879 2 года назад +3

    I enjoyed your class and love it so much

  • @chaitanyalaxmiaravelli9582
    @chaitanyalaxmiaravelli9582 3 года назад +4

    Now I am able to understand these trigonometric identities very clearly..
    Thank you so much for explaining in the most easiest way..sir

  • @sushantkumartripathy4550
    @sushantkumartripathy4550 Год назад +5

    Sir your teaching method is excellent

  • @kavithasalla8961
    @kavithasalla8961 4 года назад +3

    It is very understandable lesson.

  • @chandanYadav-xm7fd
    @chandanYadav-xm7fd 4 года назад +5

    You are the best teacher

  • @d.saijeeth9680
    @d.saijeeth9680 3 года назад +4

    2(Sin² 25+ cos²25) =2(1)= 2

  • @collationfacttamil5154
    @collationfacttamil5154 2 года назад +2

    Sir you are teaching supperly,i understood all

  • @user-rz5fj2gv8n
    @user-rz5fj2gv8n 3 года назад +3

    Many doubts cleared thankyou so much to Mancha Academy. Let Manocha Academy be a very famous RUclips channel.

  • @sushmitham8700
    @sushmitham8700 3 года назад +2

    U r explaination is very excellent sir....... Thank you so much sir....

  • @user-qi8wr8ss3g
    @user-qi8wr8ss3g 6 месяцев назад +1

    I appreciate monocha Academy for its service delivery

  • @bandaruapparao5940
    @bandaruapparao5940 3 года назад +2

    Super vedio sir really LEARNING SCIENCE AND MATHS IS EASY AND FUN okay sir I'll coperate with you and let's learn every day from every day life

  • @sivanandreddy3839
    @sivanandreddy3839 4 года назад +3

    Sir u r teaching exllent sir and it very use full

  • @yourdevimam7872
    @yourdevimam7872 Год назад +2

    Sir i like your videos more because you say very clearly in this videos thank you sir😊😊😊😊

  • @kanvapatelamchi
    @kanvapatelamchi 4 года назад +3

    I like you are saying FRIENDS ......
    thank you so much sirr

  • @harimashots
    @harimashots 3 года назад +1

    2sin>65+2sin>25.
    =2cos>25+2cos>65
    =4(2cos>90)
    =4(0)
    =0

  • @ayushbiswal9439
    @ayushbiswal9439 4 года назад +2

    Sir the way you teach is very simple

  • @user-pg7ow2fn1z
    @user-pg7ow2fn1z 10 месяцев назад +5

    Yayyy😂😂😂 sir cute❤ 49:50

  • @harimashots
    @harimashots 3 года назад +1

    For other terms why did you change sir tan1,tan2,tan3............tan89 in centre and we put tan 60 also sir

  • @muralicherukuru5457
    @muralicherukuru5457 3 года назад +2

    I like ur teaching sir
    Ur amazing in telling
    I understand urs teaching easily
    Tq ......sooo...much.....sir....

  • @-SRINIVAS.K
    @-SRINIVAS.K 4 года назад +2

    THE ANSWER IS 2..........
    Attractive and stunning video for school students Sir ..........😀😀😁😁👏

  • @bongcuber1692
    @bongcuber1692 4 года назад +4

    You are the great sir

  • @ashkrsimna
    @ashkrsimna 4 года назад +3

    Sir answer of the homework question is 2.

  • @melamsudha3059
    @melamsudha3059 4 года назад +2

    Ur explanation is owsem sir

  • @mystic6970
    @mystic6970 4 года назад +2

    Thank you very much sir
    This lesson really helped me
    Also sir just to ask could you make a live lesson on maths for simultaneous equations

  • @mystic6970
    @mystic6970 4 года назад +2

    Sir your teaching is perfect 👌
    You should have 1 million subscribers

    • @ManochaAcademy
      @ManochaAcademy  4 года назад +3

      Thank you so much 😀

    • @mystic6970
      @mystic6970 4 года назад +1

      @@ManochaAcademy no problem
      I love your videos and live lessons

  • @Rachel-tm4gq
    @Rachel-tm4gq 4 года назад +3

    Thank you so much !! it helped me a lot sir ....

  • @_tamizharasanj_4455
    @_tamizharasanj_4455 3 года назад +3

    i dont even know a single sum in trigonometry,but u made it easy for me

  • @DeepakDeepak-co1fx
    @DeepakDeepak-co1fx 2 года назад +3

    Sir do area related to circles lesson

  • @user-yb7iy1kl5b
    @user-yb7iy1kl5b Год назад +2

    Sir...! Which foundation books are better to prepare for iit..? Present I'm studying 9th..and I'm the student of iit/neet...! Please can you gave an a hint to prepare sir..!

  • @himabindu279
    @himabindu279 2 года назад +2

    Wow super explanation sir
    Tq very much
    Really great teacher

  • @ashmithaashmitha4743
    @ashmithaashmitha4743 3 года назад +2

    Ur teaching is too good sir and easy to understand. Thank you so much sir

  • @srinivasreddyvallapureddy866
    @srinivasreddyvallapureddy866 4 года назад +2

    Super sir awesome Ur teaching

  • @sulthannani1202
    @sulthannani1202 4 года назад +2

    You are explaining very clearly

    • @ManochaAcademy
      @ManochaAcademy  4 года назад +2

      Thanks

    • @sulthannani1202
      @sulthannani1202 4 года назад +2

      How are you explaining all physics chemistry and also mathematics that's so great sir
      I excited for your teaching style

  • @annapurnapll8128
    @annapurnapll8128 3 года назад +4

    Thank You Sir

  • @sukanyasukanya7909
    @sukanyasukanya7909 3 года назад +1

    Hi sir I can understand easily the way you teach lessons

  • @ritheshrithesh8542
    @ritheshrithesh8542 3 года назад +3

    Sir why we are studying tgm and how it is applicable in reality.

    • @user-vh8hn7tr7b
      @user-vh8hn7tr7b 3 года назад +1

      Am too in 10th and just got across this fearful chapter.What I 've understood is that We can find height of tall buildings using tgm ratios!

  • @JitendraYadav-hf5rt
    @JitendraYadav-hf5rt 2 года назад +4

    Sir your explanation is too goood

  • @soulgamingzone5438
    @soulgamingzone5438 3 года назад +5

    Sir=family=♥️... great explanation sir👏🙏

  • @StandbyAll
    @StandbyAll 3 года назад +1

    1:48. Started the video ♥️❤

  • @veenaramesh2577
    @veenaramesh2577 4 года назад +3

    This is really understandable

  • @awmgod6985
    @awmgod6985 4 года назад +2

    Well great...............!

  • @kamatchisiva1719
    @kamatchisiva1719 3 года назад +1

    Thank you so much sir. Your the only one who teaches in English. And the way you explain is extraordinary.

  • @jagannadhareddy412
    @jagannadhareddy412 4 года назад +4

    Sir why don't you create a new app

  • @tejaravi723
    @tejaravi723 3 года назад +2

    Way of teaching goooooooood

  • @swati6084
    @swati6084 3 года назад +2

    Your teaching is awesome sir🙏❤️

  • @neibusemy9416
    @neibusemy9416 5 месяцев назад +1

    What is the fundamental ratios of trigonometry

  • @shashankkrshashank7280
    @shashankkrshashank7280 3 года назад +4

    excellent sir

  • @aanmipuradathilhil2741
    @aanmipuradathilhil2741 3 года назад +2

    Sir your teaching has helped me a lot in exams. Thank you so much sir

  • @melamsudha3059
    @melamsudha3059 4 года назад +3

    Amazing sir ur teaching 👌👌

  • @vikashgupta8788
    @vikashgupta8788 4 года назад +3

    Tq so much sir

  • @suprithsaipuppala6492
    @suprithsaipuppala6492 3 года назад +1

    Sir once you explain a table regarding relation between trigonometric values like

  • @ugudegrey392
    @ugudegrey392 3 года назад +3

    I love your tutorial sir you always make things easy for me more love

  • @letsanalyzeguys
    @letsanalyzeguys 2 года назад +3

    Sir please take classes of integration

  • @munirajum1891
    @munirajum1891 3 года назад +5

    Thank you so much sir actually I was not understanding anything I taught this is tough lesson now u made this lesson easy to me 🙂. thankyou so much

  • @AaravRanjan-pj9eq
    @AaravRanjan-pj9eq 5 месяцев назад +2

    15:44 sir how did cos change to sin, I still don't get it.

  • @princekuruvilla2125
    @princekuruvilla2125 4 года назад +3

    Sir how much mark did u have in your 10 board exam ?

  • @santoshthakur3546
    @santoshthakur3546 3 года назад +2

    Sir your teaching is very awesome sir

  • @arunakallon7958
    @arunakallon7958 4 года назад +1

    Sir please make a video on circle theorem. U are so perfect

  • @sangameshbadiger2699
    @sangameshbadiger2699 3 года назад +5

    Wonderful that was the clear session may god bless you sir

  • @joymx9227
    @joymx9227 3 года назад +4

    Find the value of 2 sin²25° + 2 sin²65°.
    Answer : 2 sin²25° = 2 cos² 65
    → 2 cos²65 + 2 sin²65
    → 2 ( cos²@ + sin²@ )
    → 2*1 = 2

  • @theartofmusic05
    @theartofmusic05 3 года назад +1

    8:05 why we multiplied the (1+sinθ) sir could u explain me?

    • @ganeshr3297
      @ganeshr3297 3 года назад

      This is called rationalization method ...

  • @poojagautam5680
    @poojagautam5680 Год назад +2

    Answer of hw question is 2.