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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 | Top Educator 💥All Maths Chapters Complete & FREE 💥10+ Years Experience 💥Youtube: Maths Wallah 💥DPPs @ vineetloomba.com

U
Good effort!!!keep doing !! thanks
Rk
you are great sir
U
sir.12 std ka student sab formula yaad kar sakta hai
x<\ X^2 <\ 1 €[-1 1] how sir??
M
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
8 months ago
Thts the property explained in an earlier video ..watch tht
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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)

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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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