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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 | No. 1 Educator in IIT-JEE (Maths) | 2.6 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

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sir hamesha trigonometry mai under-root(√) hatane ke liye mdulus lagana padega har case mai??
Vineet Loomba
2 months ago
Roots x^2 is equal to |x|
At 2:57.....if we use 6xsquare <1....so x is less than 1/underoot 6..... So how x=1/6
sir i have a doubt in question tan(cos^-1x)=sin(cot^-1/2). On solving x comes out to be +- √5/3. -√5/3 doesn't satisfy the equation but it is also given in answer.Why??
Vineet Loomba
7 months ago
where is it given ? may be there is mistake in answer sheet ...are you sure it doesnot satisfy ? how do u come to that conclusion
Tanmay yadav
7 months ago
on putting -√5/3 on lhs we get a -ve value while rhs is +ve. the rhs is sin(cot^-1 1/2) . The answer given in the answer key is +- √5/3
why we excluded zero in the final answer in the 1st problem of substitution of this video ?
Vineet Loomba
7 months ago
we are not solving the equation ..we are simplifing the question ...solve toh kr he nhi rhe ... toh solution reject kahan kiya ?
  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)


  7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) The simplest form of ExAMPLE: tan a tx (A) cos-1 (B) 1 (D) None of these SOLUTION: (B) Substituting x = a cos , we have tan tan a+ x a+acos 1 + cos 2 sin 2- = tan ' | | tan = tan-1(tan =-=-cos SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  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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  11. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) coS-sin- coS +sin- coS- sin = tan coS+Sin- coS-+ sin- l-tan- tan tan-1 : tan 1 + tan SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)