#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)
•11:2513:37 (inverse dekhne ke liye trigo ke graph ko y axis se relate kro) •2:4516:2529:22 (inverse of trigo function is an ANGLE) • 20:5633:2041:291:20:30 [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) •8:4710:1025:5836:2659:511:00:36 [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
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 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
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
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.
@@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 ❤️
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🙏🙏
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 ???
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
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
FOR CLASS NOTES check the telegram channel t.me/JEEnexus
Not opening 😢
Not Opening Pls Help
Notes mile lecture ke???
Amazing session bhai 🔥🔥 Nazaare aagye & revision hojayegi Thanku so much bhai ❤️Dher saara pyaar dher saari duayein ❤️
aryan raj
Shirsh Gyan
Ye session ka notes Kahan milega please reply
MAINE YE CHAPTER NHI KARA TOH KYA MAI YAHA SE KAR SAKTA HU KYA.,,,
YA FIR YE REVISION PURPOSE KE LIYA HAI,,PLS TELL
@@anujsinghgoyal4157 Sure bro yaha se krskte ho sir ne sbhi topics basics se cover kiye h, All the best🔥
2:32:52 why we not apply tan
Because if x=1 then sin(inv){x/√1-x²} make undetermined
👍👍
#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)
•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
Bhai itna type Kiya tune padhai kab kiya re 😭
Really really helpful bhai thanks a lot
@nikhiltg280 m bhi ye hi comment karne wala tha😂😂
@@user-ny5kk7ce6u reply bhi nahi Kiya isne 😔
absolute legend, thanks a lot man
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
π
Thank you for the session sir.
Formulae revision karlungi.
Practice bhi karoongi aur woh 2 hw probs ko bhi try karungi.
From Vedantu to unacademy its been a long journey ☠️
fr
Long af
Amazing session sir .
Sir plz Continuity and differntiability session asap.
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
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|
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
Inka one shot playlist is sufficient for jee mains only?. Watching lectures for the first time.
Na bhai revision ke liye krre ho to shi h wrna full class kro
No
@@4ryanMishra yes but bad me question Kar lena
@@4ryanMishrafull class kaha milega??
@@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
sir can u please do the one shot of functions if possible. It would be very helpful as its the first chapter of calculus.
Vedantu ka hai
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
2:12:48 roots are +1/6 and -1 Not -1/6 and 1
Hope it helps
@JEEnexus your quiz has a drive link for time lapse video and it isn't working.... It is showing owner organisation type message
thank you very much for such beautifull session bhai 🥰🥰
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
2:17:12 must revise
2:23:54 formula
2:34:17 if 1 to infinity is asked then use n first method
Are these lectures are enough if we start from zero
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
Nobody clears concepts better than arvind sir 😭😭😭
The lectures are really great!
Aree sir ji at 45:54 pr tan(A-B) formula galat use kr diya apne glti se
BTW lectures❤❤
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
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.
@@g.l.v.lahari1640 thanks for correcting me bro.
Waise meko pta nhi ye glt hai ya shi.😄
@@Simran16006 mujhe bhi pata nahi Simran.
No mention
😊
@@Simran16006 Simran Happy Advanced friendship day yaar.🥰😍
@@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 ❤️
Sir y u haven't taught transformation of substitution 😢
47:27 sir apne yaha M and m ko opposite le liya h😅
❤❤
Ptak❤❤😂
2:32:34 tan ka principle domain ( -1 , 1 )
Thank you so much bhai.
Love you❤🔥
2:12:33
x = -1 , 1/6
Yea I just saw that… ans is 1/6
Thanks, Bhai for this OP session
👍👍
sir , mistakely used wrong formula of tan(a-b).
He cleared it afterwards
sir 2:12:50 mei apne yeh kyu assume kar liye ki xy less than 1 hai.
Really amazing lecture i mostly watch his lectures because of his energyv...finally able to solve me coaching modules and pyq..❤❤
notes bro? Where is it
@@Sweetener.-jy8ku he said it was on
Tele..i made my notes myself tho
@@adityadubey3047 I checked the telegram channel but I couldn't find it
Apne bhai se acha maths koi pada hi nhi sakta
@@Aditichaurasi kaha chalu tere sar pe😂
Respected sir You make my concept great Thanks a lot❤
How to find value of sin^-1 (sin5)?
Is these videos sufficient of ncert came
This question level are too high for ncert, if ur goal I only ncert, just memorize the formulaes
Sir plzz next session pnc probability pr lijiyega, boht confusing chpters lgte hi ye maximum bacho ko isliye plz sir humble req❤
Maja aa gya..... I will try my best sir to make it good.... I am 2025 aspirant nd I know game is still on❤❤
Infinity ko tend kr rha tha to 1 kaise hua?
Thank You so much Bhai for such an amazing session. We love you.. ♾️❤️
Thank you soo much sir❤
Negative by observing CHAL NIKAL PAHILI FURSAT MEIN 😂
nice session i'd prefer this for revision
Physics ke one shots bhi lao sir...
1:24:55 pi by 2 range
is it enough for boards?
Bhut saandar session tha sir aapp ke jaisa koi nhi....
Aur ha jo v dekhna chahta ye lecture dekh daalo sab kuch h isme....✨✨✨✨❤
Thank you so much sir, I am ready to give my best in this chapter
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
Sir could you please provide us the schedule of theses classes
47:20 sir aap ne tan a-b me niche minus kyu diya
shera its by mistake....
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
can i practice qs after this// is this lecture enough// please tell me
Yes
No use black book
@@user-ny5kk7ce6u i have cengage
Really enjoyed this session sir !! Really lots of love 💝💝 Sab 1 dam aache se samaj aaya 🥰
best video of itf available for the droppers
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 😊
From West Bengal ❤❤
Bhai integration ko bhool to nahi gaye....plzz karva do
Thank you bhai
2:42:21 sir kaise pata chalega in dono ka difference in numerator
This session is the best!!! If there is a option to like a video multiple time I have done it!!!
Kaliya bhai kuchh samjh nhi aa raha h please koi help karo😢
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
Itna padh kr ab mujhse sawal ban Rahe Hai kuch kuch
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🙏🙏
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 ???
Link is not opening sir
❤ amazing session
Sir Shera kitne saal se prep krr rhi hai...
U re best teacher of maths youtube.❤
2:17:10 Summation Ques
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
@OmKondawar-xi9xb what paper
25:50
Thanku SirJi 🙏🙏 this lecture is like "गागर में सागर"❤
1:17:55
Problem asked in competitive exams are not difficult but of different.
You taught very gr8 but I didn't get it in mind
Thanks sir concept crystal clear ho gaya❤❤
Sir sin^-1 (sin5) Iski value aapke method se kaise nikale bina graph ke??
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
Amazing bhai
Iske baad konsa chapter lane wale ho ?
1:22:00
Waaahhhhh!!!! Behtarin ❤🎉 Crux ban gaya , dil ban gaya …
Sir your Notes Link is not working is there any way to downloadf notes
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
Are bhai balancing ki hai jitna add Kiya utna hi subtract kr diya
@@mathmatrixzno yar tan inverse of x-y/1+xy can be written as tan inverse x- tan inverse y when xy>1
Great teaching sir
thank youu soo muchh bhaiii. another wonderfull session and a masterpiece indeed.❤❤❤
2:00:00
15:09
23:29
1:25:00
1:30:00
Thank u bhai nazare overloaded ❤❤❤❤❤
who is this shera
sir always takes his name
Sir ka slang hoga
thank you so much sir
Iske notes upload hote hai telegram pe..?
Thanks sir ...Jai mata di ...matarani ki kripa aap pe bani rahe
Love you so much sir❤❤
Sir apki smile bahut pyari hai ..❤
Hey Prabhu sir ki smile hamesa banai rakhna 🙏
Sir bahut maza aaa gaya❤❤
Bhai time stamps mat bhula karo pls!!
very good video thx
guys notes channel pr to nhi mile
Ultimate session bhai
Sir by your trick how to find value of sin^-1 (sin5)?
5-2π
2:54:54 me a costheta kaise bana a^2-x^2
24:00 sir isme t ke liye aapne range nikali ki Domain
Sir where can I find DPP and notes class
FOR CLASS NOTES & DPP check the telegram channel t.me/JEEnexus
@@JEEnexussir telegram pr DPP nhi hai ek bhi
Notes Bhi Nhi Mil rhe hai
What if x×y=1?