Inverse Trigonometric Functions Class 12 | One Shot | JEE Main & Advanced | Arvind Kalia Sir

[@BenStokes1234]

•11:25 13:37 (inverse dekhne ke liye trigo ke graph ko y axis se relate kro) •2:45 16:25 29:22 (inverse of trigo function is an ANGLE) • 20:56 33:20 41:29 1:20:30 [Taking sin/cos etc both side of inequality : same when f(x) (and hence f inverse eg sinx and sin inverse family) is increasing and sign changes when f(x) (and hence f inverse eg. cosx and cos inverse family) is decreasing] •44:35 (range ke liye domain wale masale ko t bolo aur uski range pata kro then corresponding range of ITF mil jaegi) •8:47 10:10 25:58 36:26 59:51 1:00:36 [Emphasis on Principle Domain and ITF is not inverse of trigo function (they aren't bijective) but rather inverse of trigo functions in a particular inverval/domain] Rule 1️⃣ : 1:07:03 1:08:04 1:15:55 1:38:29 1:42:42 ( 1:56:14) : ITF ke andar minus aaye toh uske bahar feko using results for sin/tan/cosec and cos/cot/sec Rule 2️⃣ : 1:16:25 1:17:09 : Results of complementary functions (Importance is because it's Always valid) Solving Tip : 1:19:09 1:19:54 1:23:40 1:29:19 1:48:23 (cheezon ko ek function mein Lao jaise cos h toh sab cos mein, tan h toh sab tan mein and so on) ∆ Imp. Pts Discussed: •1:21:43 (yaha ka inverse waha jakar trigo Bn jaega but not vice versa) •1:25:24 : (Revisit this slide). • 1:28:23 2:08:40 2:11:57 : V.V IMP [ITF(x) se x Tak jaana h toh corresponding trigo function apply krdo] •Remember Result : 1:46:33 (ITF in terms of each other •Revision of Range (Meaning) : 1:32:19 1:34:29 (Always check domain while finding range, domain badal gya toh bhaiya range bhi badlega n) Rule 3️⃣ : 1:35:47 : ITF at (1/x) : sin se cosec, cos se sec and tan se cot (Importance as except tan cot relation, this always holds) •ITF in terms of each other : 1:44:50 1:45:12 : ITF ke andar masale ko base/perpendicular/hypotenuse ke terms mein padho aur baki sab nikaal dalo Trigo ke andar koi aur ITF baitha h toh usko bahar Wale ke ITF mein Lao 1:52:05 (this q) Note : 1:53:47 2:29:48 • 2:09:20 : Sum and Difference of ITF : Use Tan wala formula for almost everything. Solving Hack : 2:13:09 2:27:26 2:33:04 (gande terms h toh ek term ko doosre side bhejiye and then apply trigo to get x from ITF) 2:14:53 : Tan apply krne se extra solution milte Hain. Toh joh solution mile unhein equation mein daalkar verify krna hota h

[@nikhiltg280]

Bhai itna type Kiya tune padhai kab kiya re 😭

[@intellectualbrainstorm665]

Really really helpful bhai thanks a lot

[@DeepakYadav-x6h5z]

@nikhiltg280 m bhi ye hi comment karne wala tha😂😂

[@nikhiltg280]

@@DeepakYadav-x6h5z reply bhi nahi Kiya isne 😔

[@cosmic-4747]

absolute legend, thanks a lot man

[@PramodKumar-ir3rt]

2:32:52 why we not apply tan Because if x=1 then sin(inv){x/√1-x²} make undetermined

[@dixit6605]

👍👍

[@BenStokes1234]

#2️⃣ •Summation Series in ITF : SOP : 2:34:30 2:36:05 2:41:08 2:43:44 Note : 2:35:28 2:38:27 2:40:59 (Seedhe 1 se ♾️ nhi krna h, n terms tak krna h aur agar ♾️ poocha h toh last step me n=♾️ daal dena)

[@Riya-joshi18]

Amazing session bhai 🔥🔥 Nazaare aagye & revision hojayegi Thanku so much bhai ❤️Dher saara pyaar dher saari duayein ❤️

[@abhinavmaurya_]

aryan raj

[@shirshgyan6778]

Shirsh Gyan

[@hbzpappuchoudhary2609]

Ye session ka notes Kahan milega please reply

[@anujsinghgoyal4157]

MAINE YE CHAPTER NHI KARA TOH KYA MAI YAHA SE KAR SAKTA HU KYA.,,, YA FIR YE REVISION PURPOSE KE LIYA HAI,,PLS TELL

[@Riya-joshi18]

​@@anujsinghgoyal4157 Sure bro yaha se krskte ho sir ne sbhi topics basics se cover kiye h, All the best🔥

[@JUSTFORFUN-gj9wf]

Timestamps 0:00​ Introduction and Nature of Chapter 4:40​ Index and Critical Topics 8:05​ Defining ITF 57:49​ Composition of trigonometric and its inverse function 1:04:19​ Some Important Results 1:42:55​ ITF in terms of each other 1:59:25​ Sum and Difference of ITF 2:34:17​ Summation of series 2:46:38​ Simplification of ITF

[@snehakumari8695]

1:30:09 right hand side pe cos kaha se aayega 2x^2-1 = π/2-2a/2 h Aur ans ke liye hme rhs me cos(π/2-2a/π) chahiye

[@SaifKhan-mf4ho]

2:32:43 Bhai yha answer islie nhi aarha kyunki apne bola tha ki tan^-1(2x)=2tan^-1x/1-x² hold tabhi karega jab |x|

[@sarthakaggarwal7421]

Bhai -1 pe bracket closed hai shayad isliye -1 neglect hoga baaki net pr x ki yeh domain nhi hai isliye answer 3 solutions aa rha hai

[@Mr.rebel7358]

Aree sir ji at 45:54 pr tan(A-B) formula galat use kr diya apne glti se BTW lectures❤❤

[@Aryaanlives]

@JEEnexus your quiz has a drive link for time lapse video and it isn't working.... It is showing owner organisation type message

[@rjtube7666]

Amazing session sir . Sir plz Continuity and differntiability session asap.

[@shubhankarrai5923]

From Vedantu to unacademy its been a long journey ☠️

[@SarthakYedlawar]

fr

[@ayanokojikun1st]

Long af

[@harshvardhankoli1494]

Sir y u haven't taught transformation of substitution 😢

[@shashwatpandey4558]

sir 2:12:50 mei apne yeh kyu assume kar liye ki xy less than 1 hai.

[@Simran16006]

2:32:52 Bhai yaha meko shi logic thh nhi ptaa but maine try kiye (-1,1] given hai so do interval me krrenge. Case 1: 0

[@Simran16006]

@@g.l.v.lahari1640 thanks for correcting me bro. Waise meko pta nhi ye glt hai ya shi.😄

[@Simran16006]

@@g.l.v.lahari1640 Thank you so much sis. Happy adv frndship day to uh too❤️. I got a smile in my face after seeing your reply in my comment. Thnk you so much for this sis...lots of love enjoy ur day. Stay blessed ❤️

[@Simran16006]

@@g.l.v.lahari1640 yup ❤️

[@Simran16006]

@@g.l.v.lahari1640 Okie behen. Krdeti hun...

[@Simran16006]

@@g.l.v.lahari1640 behen tum tele use krti hooo?????... Comments automatically deleted ho rhi hai

[@atreyamitra9977]

sir can u please do the one shot of functions if possible. It would be very helpful as its the first chapter of calculus.

[@sujanb858]

Vedantu ka hai

[@Joker-z4z]

2:12:48 roots are +1/6 and -1 Not -1/6 and 1 Hope it helps

[@KrishnaAgrawal-wf9bc]

2:32:55 sir aa to gya answer 0 , 1 ,-1 and x^2 = -3 which is not possible so x= 1 or 0

[@Sassy_657]

21:49 trick 33:11 if function is decreasing sign changes 33:22 important concept 34:06 must revise 41:11 must revise 43:28 important property 52:45 important property 1:04:34 imp results 1 1:07:45 method of solving when not in PD 1:11:30 graphs of inverse trigo function 1:15:53 important results 2 1:20:58 jab trigno bahar haii toh direct solving 1:22:20 important Note 1:25:32 very imp note 1:31:25 must revise question 1:34:55 important results 3 1:38:47 must revise question 1:40:15 must revise question 1:46:37 result 1:56:25 if x is -ve 2:00:13 results 4 2:05:21 important result 5 2:06:59 Important observation 2:10:57 important method for solving

[@iamidiot-wf9tv]

2:17:12 must revise 2:23:54 formula

[@iamidiot-wf9tv]

2:34:17 if 1 to infinity is asked then use n first method

[@astha4906]

guys if u r struggling with itf just go for it... My concepts are clear now but after this session make sure to practice itf... I m able to solve my coaching material... Its so helpful.. Thankyou sir💗✨

[@ARYAN-z4r8u]

thank you very much for such beautifull session bhai 🥰🥰

[@oasoip]

Nobody clears concepts better than arvind sir 😭😭😭 The lectures are really great!

[@dhvanit1123]

2:32:34 tan ka principle domain ( -1 , 1 )

[@spgcreations2334]

47:20 sir aap ne tan a-b me niche minus kyu diya

[@JEEnexus]

shera its by mistake....

[@AnubhavPanda-ee3qs]

Sir Shera kitne saal se prep krr rhi hai...

[@saurabhgupta735]

2:12:53 X= -1 or 1/6 hoga and -1 is rejected bcs X cannot be -ve

[@x2rajat451]

2:12:33 x = -1 , 1/6

[@satviksumanbarnwal2506]

Yea I just saw that… ans is 1/6

[@KeertanaRaniJalampalli]

25:30 kyu negative symbol nahi ata heiii 🤔

[@PATIL_UJJWAL]

2:42:21 sir kaise pata chalega in dono ka difference in numerator

[@JEEnexus]

FOR CLASS NOTES check the telegram channel t.me/JEEnexus

[@Rajkumar_iitp]

Not opening 😢

[@ParthLalwani-w7z]

Not Opening Pls Help

[@dakshhhhh8159]

Notes mile lecture ke???

[@JanePatrickEnglish]

Respected sir You make my concept great Thanks a lot❤

[@roshnitiwari4193]

U re best teacher of maths youtube.❤

[@imperialx4329]

bhai best teacher of mathematics for one shot ❤‍🔥🔥🔥🔥🔥🔥🔥🔥 🎆🎆👍👍👍👍👍👍

[@Simran16006]

Thank you so much bhai. Love you❤🔥

[@vggamingofficial8731]

1:24:55 pi by 2 range

[@YepDoodlyB]

47:27 sir apne yaha M and m ko opposite le liya h😅

[@afreenqazi6122]

❤❤

[@Ram-tr7jb]

Ptak❤❤😂

[@Shubhangdev]

sir i think whether the graph would be concave or concex in inverse would be decided by second differentiation

[@joshuajee]

Anyone can you tell me if sir told the jugaad for the formula at 2:24:00 anywhere... I don't find it and i want to know where i can find it . Anyone or sir pls reply

[@joshuajee]

@OmKondawar-xi9xb what paper

[@onlyshorts1169]

Thank you so much sir 😊😊🙏🏼🙏🏼🙏🏼🙏🏼

[@Enjoy0515]

47:00 tan(a-b)= (tana - tanb)/1+tana.tanb And Maximum is M i.e √2 ...and you put here 1, that' why your answer is correct. With wrong formula 😊

[@JEE2025-o1l]

How to find value of sin^-1 (sin5)?

[@wordloop9]

Thanks, Bhai for this OP session 👍👍

[@thumblina1733]

Are the one shots of this channel enough if I start from basics or I need to watch full class?

[@badavathlaxman8600]

Sir could you please provide us the schedule of theses classes

[@rohitjain4372]

Are these lectures are enough if we start from zero

[@Preciousstone-nr3xb]

I am not sure but after studying it in coching and finding it too difficult and complex , this video simplify the chapter as if doing revision

[@ShameekMukherjee-j9c]

Yes .. Just do it in proper sequence Watch the video Not entire at once Make notes and attempt questions on your own in n between Solve some solved examples from cengage And then do cengage single correct or pyqs You will definitely succeed

[@shaikshabaz5947]

More than enough

[@enjoyyourlife7579]

nice session i'd prefer this for revision

[@AryanSingh-v8j5v]

24:00 sir isme t ke liye aapne range nikali ki Domain

[@PATIL_UJJWAL]

Negative by observing CHAL NIKAL PAHILI FURSAT MEIN 😂

[@tejasxtibrewal]

Physics ke one shots bhi lao sir...

[@AyushSingh-pj6ds]

Sir kya hm ese dekh sakte [-1, 1] mai sinx increase then sin-1 increase... And [-1, 0] cosx decrease so cos-1x decrease always...... Please🙏 answer sir jiii🙏🙏

[@yanshi1797]

2:54:54 me a costheta kaise bana a^2-x^2

[@pushpasakhare4867]

Waaahhhhh!!!! Behtarin ❤🎉 Crux ban gaya , dil ban gaya …

[@IIT-JEE-xv2jm]

Apne bhai se acha maths koi pada hi nhi sakta

[@IIT-JEE-xv2jm]

@@Aditichaurasi kaha chalu tere sar pe😂

[@kartikmittal5492]

Nazaare aagye jo approach sir ne btayi vo kisi ne nhi btai .....for mine question solving is more important rather than the feeling of any chapter. So jis approach se ques bnn jaye vo best h 😊😊

[@joshuajee]

Sir at 2:45 we can only apply the expansion if 4x^2 - 1 is greater than 1 right but how do we prove that 4x^2 is greater than one

[@mathmatrixz]

Are bhai balancing ki hai jitna add Kiya utna hi subtract kr diya

[@joshuajee]

​@@mathmatrixzno yar tan inverse of x-y/1+xy can be written as tan inverse x- tan inverse y when xy>1

[@DebdeepDe-vg9tm]

From West Bengal ❤❤

[@NeymarJr-sf8fj]

Sir plzz next session pnc probability pr lijiyega, boht confusing chpters lgte hi ye maximum bacho ko isliye plz sir humble req❤

[@adityadubey3047]

Really amazing lecture i mostly watch his lectures because of his energyv...finally able to solve me coaching modules and pyq..❤❤

[@Sweetener.-jy8ku]

notes bro? Where is it

[@adityadubey3047]

@@Sweetener.-jy8ku he said it was on Tele..i made my notes myself tho

[@Sweetener.-jy8ku]

@@adityadubey3047 I checked the telegram channel but I couldn't find it

[@randomshorts3279]

Bhut saandar session tha sir aapp ke jaisa koi nhi.... Aur ha jo v dekhna chahta ye lecture dekh daalo sab kuch h isme....✨✨✨✨❤

[@IITJEE2025-u2z]

Best Maths Teacher!!!

[@ghost-o6m]

2:17:10 Summation Ques

[@mukeshshukla8326]

Maja aa gya..... I will try my best sir to make it good.... I am 2025 aspirant nd I know game is still on❤❤

[@Arjunpatil72]

best video of itf available for the droppers

[@Rajkumar_iitp]

Link is not opening sir ❤ amazing session

[@priyanshuyadav4124]

Infinity ko tend kr rha tha to 1 kaise hua?

[@KimTaehyung-be3df]

Really enjoyed this session sir !! Really lots of love 💝💝 Sab 1 dam aache se samaj aaya 🥰

[@dakshgamer1637]

sir , mistakely used wrong formula of tan(a-b).

[@veteransgaming499]

He cleared it afterwards

[@siddhanthpandey314]

Thank you so much sir, I am ready to give my best in this chapter

[@hardikjain6439]

Thank u bhai nazare overloaded ❤❤❤❤❤

[@savitabagde5812]

Thank you bhai

[@1No_name_]

Thanku SirJi 🙏🙏 this lecture is like "गागर में सागर"❤

[@Pavithira-gp3ue]

Sir bahut maza aaa gaya❤❤

[@Genesis-0_0]

This session is the best!!! If there is a option to like a video multiple time I have done it!!!

[@infernogmr1558]

bhai mera bhai mera bhai jo tu ni mera bhai tu tabahi ha tabahi,tu hoga high mere bhai jo tune sun ke interview akal nai chalai

[@IITJEE2025-u2z]

Sir ne bola tha n koi na koi teacher toh tumhe samjha payega...mujhe toh yehi samjha paaye...😅 LUBJU Sir!!!

[@rameshnai3826]

Sir apki smile bahut pyari hai ..❤ Hey Prabhu sir ki smile hamesa banai rakhna 🙏

[@arjuntella603]

Thank you soo much sir❤

[@sauravraj4104]

Iske notes upload hote hai telegram pe..?

[@vedantsingh179]

Jo chapter ke 7 8 lec hote hai 3 ghante ke osko 3 ghanto me.one shot kara do very good sir very helpful for students

[@monizaman8211]

Problem asked in competitive exams are not difficult but of different.

[@arpitchauhan2147]

Bhai integration ko bhool to nahi gaye....plzz karva do

[@shraddhatripathi1886]

Thanks sir ...Jai mata di ...matarani ki kripa aap pe bani rahe

[@JaySuryawanshi-vj4rk]

Happy teachers day sir aaj mai ye padh raha hu love you and thank you for everything 💯 😊

[@YashTembhurne-u3y]

Sir 2hr.16mi Wale questions me aapne dono side tan ke sath multiple kar Diya but aapne tan aur taninverse ko tan inverse wala formula laga Diya kaise ???

[@nirmalmistry867]

Thanks sir concept crystal clear ho gaya❤❤

[@Mantusingh-kh4bj]

Amazing bhai Iske baad konsa chapter lane wale ho ?

[@studyaccount-ghawk]

Sir your Notes Link is not working is there any way to downloadf notes

[@saharshdeshini7479]

Ultimate session bhai

[@ocayush]

Thank You so much Bhai for such an amazing session. We love you.. ♾️❤️

[@Cartonhub1.0-om5mr]

Love you so much sir❤❤

[@samikshasakthivel2368]

Is these videos sufficient of ncert came

[@skyboltKAMI2301]

This question level are too high for ncert, if ur goal I only ncert, just memorize the formulaes

[@Gran_7]

guys notes channel pr to nhi mile

[@rknif781]

1:10:14 Option C aa rha hai mera. anyone getting the same answer?

[@aashrithganta6706]

Inka one shot playlist is sufficient for jee mains only?. Watching lectures for the first time.

[@4ryanMishra]

Na bhai revision ke liye krre ho to shi h wrna full class kro

[@Nishan-v2z]

No

[@Chupchup-q4r]

​@@4ryanMishra yes but bad me question Kar lena

[@snehakumari8695]

​@@4ryanMishrafull class kaha milega??

[@4ryanMishra]

@@snehakumari8695 arey full class ke liye koi batch join krlo aap aur agr nhi le skte ho batch to mohit tyagi sir ka channel search krlena wha sbkuch free h aur content level bhi advanced ka h to wo better rhega

[@roron0az0r0]

Sir where can I find DPP and notes class

[@JEEnexus]

FOR CLASS NOTES & DPP check the telegram channel t.me/JEEnexus

[@anujyadavji1001]

​@@JEEnexussir telegram pr DPP nhi hai ek bhi

[@ParthLalwani-w7z]

Notes Bhi Nhi Mil rhe hai

[@prakrutipratyasha9892]

Mza aagya❤

[@AggressiveBoy-4]

Aa gya nazare ❤❤❤

[@amoghc5501]

36:13 is wrong...... the range is not correct as it lies from -pi to pi and he calls it a easy question damn thats wild..

[@VEDANTGaud-vi9qv]

You taught very gr8 but I didn't get it in mind

[@anvisharma8290]

15:09 23:29 1:25:00 1:30:00

[@JEE2025-o1l]

Sir sin^-1 (sin5) Iski value aapke method se kaise nikale bina graph ke??

[@Notthattypeknox]

Pehle sin ka range dekho aur phir nearest nπ lo phir do cases banenge 5-2π Or 2π -5 phir dono ki value nikalo by putting value of pie then jo sin ki range ko satisfy karega wo ans hoga which is 5 - 2π