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Graphs of Inverse Trigonometric Functions (in Hindi)
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This lesson explains various graphs of Inverse Trigonometric Functions

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

U
Unacademy user
can you explain in English
wow... awesome concepts
Vineet Loomba
4 months ago
Thanks ..share with ur frnds
dom and range ke alawa agar hum ne quadrant type me yaad rakha toh chalega
M
cosec inverse ke do graph ban rhe hain....ek 1st quadrant aur ek 3rd quadrant mei...lekin 3rd mei kaise?
Sir how we can identify functions belongs from which quadrant
Vineet Loomba
8 months ago
I hv already explained the quadrants in the video ...
  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


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  5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) BASICS OF INVERSE FUNCTIONS Let a function f : A B , y : f (x) is such that function is one-one & onto then its inverse exists. Consider a function f : R R , y = sin x, ctions-i- and coda ain Now let the domain o- | and co-domain is [-1, 1] , then its graph becomes thenits f: [-1 ,11+ ,2| y=sin-1 x SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) REMEMBER THIS sin-1 x is not to be interpreted as The sin-1 x is merely a symbol denoting a certain angle whose sine is x. sin X The 1' used in sin-1 x is not an exponent. The inverse trigonometric functions are also written arc sin x, arc cos x etc. 1st quadrant is common to the range of all the inverse functions. 3rd quadrant is not used in inverse function. 4quadrant is used in the clockwise direction i.e. - 2 sys0 SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) GRAPHS OF ALL INVERSE TRIGONOMETRIC FUNCTIONS 2' 2 y sin- . T/2 Domain 1,1] Range : [- /2 , /2] Nature one-one y = sin x -t/2-1 y sin x- -1 SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) 2. y=c os-1x, 1x1 1, ye[0 , ] -1 Domain : [-1 ,1] Range : [0, ] Nature one-one /y=x y=cos x SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  9. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) 3. y=tan-1 x , x e R, ye 2'2 Domain R Range (t/2, t/2) Nature one-one = tan x y = tan- x 12 y = tan-x y tan X SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  10. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) 4, y cot-1x , xeR, ye(0 , ) y A Domain R Range (0, T) Nature : one-one y = cotx1 /2 y = cotx SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  11. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) y cosec-1 x , 1 x 1 2 1 , y e 2 Domain Range Nature : (-,-1] [1,0) : [- /2 , /2]-(0) one-one 1 - /2 SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  12. 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)