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

[@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🔥

[@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)

[@PramodKumar-ir3rt]

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

[@dixit6605]

👍👍

[@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???

[@g.l.v.lahari1640]

1:09:54 HW1 Sol: 2pi-5+6-2pi-(12-4pi)= 4pi-11 aa raha hai 2:32:42 HW2 Sol: dono inequalities lagana hai jaise -1

[@ppmislive]

π

[@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

[@g.l.v.lahari1640]

Thank you for the session sir. Formulae revision karlungi. Practice bhi karoongi aur woh 2 hw probs ko bhi try karungi.

[@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

[@shubhankarrai5923]

From Vedantu to unacademy its been a long journey ☠️

[@SarthakYedlawar]

fr

[@ayanokojikun1st]

Long af

[@rjtube7666]

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

[@Shubhangdev]

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

[@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

[@Aryaanlives]

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

[@AnubhavPanda-ee3qs]

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

[@oasoip]

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

[@ARYAN-z4r8u]

thank you very much for such beautifull session bhai 🥰🥰

[@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

[@Joker-z4z]

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

[@ayush7358]

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

[@FUTUREIITBombayharsh1494]

Sir y u haven't taught transformation of substitution 😢

[@YepDoodlyB]

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

[@afreenqazi6122]

❤❤

[@Ram-tr7jb]

Ptak❤❤😂

[@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

[@g.l.v.lahari1640]

Simran yaha pe 0 bhi aayega na? Aur one more correction : ek pe 0 closed nahi aayega. Maine bhi kiya aur waha toh cancel karna not allowed hai toh meine common le liya tha. Mujhe bhi laga tha ki direct answer nahi par aa rha hai answer. Par Bhai ne bola ki answer nahi aayega?😅🤔 Mujhe bhi yahi aaya tha aur meine comment kardi subah. Ho saktha hai humne same mistake/correct kiya.

[@Simran16006]

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

[@g.l.v.lahari1640]

@@Simran16006 mujhe bhi pata nahi Simran. No mention 😊

[@g.l.v.lahari1640]

@@Simran16006 Simran Happy Advanced friendship day yaar.🥰😍

[@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 ❤️

[@saurabhgupta735]

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

[@roshnitiwari4193]

U re best teacher of maths youtube.❤

[@dhvanit1123]

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

[@thumblina1733]

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

[@JanePatrickEnglish]

Respected sir You make my concept great Thanks a lot❤

[@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

[@Simran16006]

Thank you so much bhai. Love you❤🔥

[@dakshgamer1637]

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

[@veteransgaming499]

He cleared it afterwards

[@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 😊😊

[@IIT-JEE-xv2jm]

Apne bhai se acha maths koi pada hi nhi sakta

[@IIT-JEE-xv2jm]

@@Aditichaurasi kaha chalu tere sar pe😂

[@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 😊

[@onlyshorts1169]

Thank you so much sir 😊😊🙏🏼🙏🏼🙏🏼🙏🏼

[@wordloop9]

Thanks, Bhai for this OP session 👍👍

[@NeymarJr-sf8fj]

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

[@PATIL_UJJWAL]

Negative by observing CHAL NIKAL PAHILI FURSAT MEIN 😂

[@shashwatpandey4558]

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

[@siddhanthpandey314]

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

[@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....✨✨✨✨❤

[@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

[@x2rajat451]

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

[@satviksumanbarnwal2506]

Yea I just saw that… ans is 1/6

[@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❤❤

[@IITJEE2025-u2z]

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

[@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

[@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

[@arpitchauhan2147]

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

[@Arjunpatil72]

best video of itf available for the droppers

[@IITJEE2025-u2z]

Best Maths Teacher!!!

[@tejaschaudhari7825]

Those who had done INTEGRATION AND WHOLE CALCULUS 💀💀💀💀☠

[@PATIL_UJJWAL]

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

[@vggamingofficial8731]

1:24:55 pi by 2 range

[@JEE2025-o1l]

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

[@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🙏🙏

[@spgcreations2334]

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

[@JEEnexus]

shera its by mistake....

[@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

[@pushpasakhare4867]

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

[@imperialx4329]

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

[@priyanshuyadav4124]

Infinity ko tend kr rha tha to 1 kaise hua?

[@tejasxtibrewal]

Physics ke one shots bhi lao sir...

[@badavathlaxman8600]

Sir could you please provide us the schedule of theses classes

[@monizaman8211]

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

[@enjoyyourlife7579]

nice session i'd prefer this for revision

[@sauravraj4104]

Iske notes upload hote hai telegram pe..?

[@Genesis-0_0]

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

[@KimTaehyung-be3df]

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

[@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 ???

[@JaySuryawanshi-vj4rk]

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

[@Gran_7]

guys notes channel pr to nhi mile

[@DebdeepDe-vg9tm]

From West Bengal ❤❤

[@ghost-o6m]

2:17:10 Summation Ques

[@rameshnai3826]

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

[@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

[@1No_name_]

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

[@Mantusingh-kh4bj]

Amazing bhai Iske baad konsa chapter lane wale ho ?

[@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

[@shraddhatripathi1886]

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

[@arjuntella603]

Thank you soo much sir❤

[@studyaccount-ghawk]

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

[@savitabagde5812]

Thank you bhai

[@ocayush]

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

[@hardikjain6439]

Thank u bhai nazare overloaded ❤❤❤❤❤

[@Rajkumar_iitp]

Link is not opening sir ❤ amazing session

[@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

[@jayeshchoudhary9231]

Any earthwasi is here mark your persence

[@VEDANTGaud-vi9qv]

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

[@nirmalmistry867]

Thanks sir concept crystal clear ho gaya❤❤

[@DixitRohilla]

Expression king..

[@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..

[@saharshdeshini7479]

Ultimate session bhai

[@bharathgopavaram6432]

Quality>>>>>>

[@Pavithira-gp3ue]

Sir bahut maza aaa gaya❤❤

[@AryanSingh-v8j5v]

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

[@ashazgamerff3143]

Great teaching sir

[@medrelaxing01]

Kaliya bhai kuchh samjh nhi aa raha h please koi help karo😢

[@Razer-ch3br]

Bro pehle radhika classes ka one shot video dekh, uske baad rd sharma ncert solve kr uske baad jee book se example Karo fir Inki video dekho

[@Razer-ch3br]

Itna padh kr ab mujhse sawal ban Rahe Hai kuch kuch

[@KeertanaRaniJalampalli]

25:30 kyu negative symbol nahi ata heiii 🤔

[@khushisingh8400]

25:50