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Property Set-1 and Set-2 with Examples on Basics of ITF (in Hindi)
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This Lesson takes up various examples property set-1 and Set-2

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

Unacademy user
thank u sir.pls tel us how to answer writing practice for kas mains as wel
0<=x^2<=1 mei domain-1 to 1 kaise aaya?? 0 to 1 nhi hona chahiye IITian?
sir first solved question me cos^-1(-1/2) me pi se minus kyu kiya??? >>>pi-pi/3
Vineet Loomba
10 days ago
Thts the property explained in an earlier video ..watch tht
sir how x€(-1,1)when we are finding domain of sininverse (2x^-1)
sir domain aur range yaad karne mai taklif jaa rahi hai sir ,practice k saath kya mujhe inverse k domain aur range learn ho jayenge
sir...Is it compulosary to first complete algebra before starting TRIGNOMETRY... Or i can directly start from trignometry...
Vineet Loomba
7 months ago
u can start Trigonometry directly but not inverse Trigonometry
Sumit Singh
7 months ago
okh...sir.. THANK U SIR....
  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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  3. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B. Tech. From IIT Roorkee IIT-JEE Mentor Since 2010. * Many of my students are pursuing courses in IITs, NITs, BITs etc unacademy Currently running my own Coaching Institute for JEE Main and Advanced Search vineet loomba unacademy on GOOGLE


  4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Principal Values & Domains of Inverse Trigonometric/Circular Functions: Function (i) y sinx y=cos-1x y=tan-1x y = cosec-1x y=sec-1 x y=cot-1 x Domain Range where 1 K x 1 2 2 (ii) (iii) (n) (v) (v) where - 1s x s 1 hre 2 where where x s-1 or x 2 1 where xe R SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Solved Example: Find the principal value of: N3 ) cos-1 /3 Sol: Let be the principal value of cos-1 e [0,n] and cos-| | -| = N3 cos = (ii) 3 Sol: Let 0 be the principal value of tan-1 3 (-2,5) and tan-1W3)- tan --/3 SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) SOLVED EXAMPLE: tan1+cos+sin equal to 3r 4 (D) 6 12 SOLUTION: (C) 2 cos-1 4 As tan-11=-, and sin 2 3 2) 6 4 3 6 4 SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Solved Example Find the value of tan cos Solution + tan 2 y = tan cos-1 = tan Ans. SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Solved Example Find domain of sin-1 (2x2-1) Solutio net y=sin-1 (2x2-1) For y to be defined - 1 s (2x2- 1)s1 SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  9. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) PROPERTY SET (CTM) sin-i (-x) =-sin-1X cos-i (-x) = -cos-1x cosec-1 (-x)--cosec-k sec !(-x) = -sec-1x tan- (-x)--tan-1 x for all for all for all for all for all for all XE [ 1, 1] xe(-00,-1]U[1, o) x E R x e R SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  10. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) PROPERTY SET (CTM) sin-1x + cos-1x = 2 (i) 0 for all xe[-1, 1] (ii) cosec-ix + sec-ix =- for all x e, 1[1, o) 2 (iii) tan-1x + cot-1x = forall x e R SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  11. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) PROPERTY SET (CTM) sin-11-1=cosec-'s, cos-|||=sec-ix, | cot-1 x (i) for all xe (-oo,-1]U [1,00) (ii) for all xe (-oo,-1] U [I,m] 1 ( 1 ) tan-11-1= , for x>0 (ii) SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


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