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Simplifying ITF questions using substitution and Trigonometry formulas
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This lesson takes up problems involving simplification of ITF using substitution and Trigonometry formulas

Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | Best Online Maths Educator | Highest Overall Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

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Unacademy user
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Gjb sir ji kya trick lagate ho
sir we have substitution a^2+x^2 for this x=atanQ but if we have expression under root of a^2 =^2 then also can we use this substitution
sir 6:30 par substitution x=acos2thetha chahiye but aapne acos thetha kiya hai why
Vineet Loomba
5 months ago
Aisa fix nhi hota ki 2Q he krna h ..Q bhi kr skte h angles half angle ban jaene bs ..ans same rhega
Om Kendre
5 months ago
ok
sir around 7:48 in the given problem it is given that -a<x<a and on putting x=acos(theta) my answer is coming π<(theta)<0 but yours is 0<(theta)<π I am confused help me sir
Vineet Loomba
6 months ago
In writing inequality lower value come on left hand side right ... It will from 0 to pie and not pie to zero
Top10Fab
6 months ago
thanks sir
at 6:39 why are we putting x=acos(theta)..instead of x=acos2(theta)..as you have told in the earlier slide
Vineet Loomba
6 months ago
It is one and the same thing ..u can try different substitution ..ans will be same
at 7 :18 -a<x<a ka concept kya hai
  1. INVERSE TRIGONOMETRIC FUNCTIONS FoR SURe SHoT SUcCESS IN JEE MAIN AND ADVANCED (IIT-JEE) JEE MAIN RANK BOOSTER COURSE PREPARED BY ER. VINEET LOOMBA ITIAN IIT-JEE MENTOR


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  4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) SOLVED EXAMPLE: (A) x=1 The value of x which satisfies tan- 2x + tan-' 3x =-is: 4 (B) x= (C) x= (D) None of these rs- SOLUTION : (C) We have, tan-1 2x + tan-I 3x 4 2x +3 = tan-11, if 6x2 <1 tan l-2x 3x if 6r2 < 1 6x2 + 5x-1=0 and (6x-1)(x +1)-0 and SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) SUBSTITUTION TABLE: Experssion Substitution a + x x=atan or, x = a cot 2 a2 x= a sec or, x = a cosec a+ x x = a cos 2 a t x a-x a + r x-= a- cos 2 a + x SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) SOLVED EXAMPLE: The simplest form of tan- l- 1 + cos x (A) -x/2 x/2 (C) x (D) None of these SOLUTION: (AB) 2 sin +) | 1-cos x ) = tan 1 + cos x -1 We have, tan tantan tan 2 cos* tantan -1 | if - <x<b |tan- tan tan tan tan , tan if 0<x< SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


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  8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) SoLved EXAMPLE: The simplest form of tan - is cos x + Sin x 4 4 _x (D) 2 (C) 4 SOLUTION: (A) 1-tan x 1 + tan x we have, tan cos x + Sin _ < x <--> 0 <-- 4 as 4 4 SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


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