Inverse Trigonometric Functions Chapter 2 Class 12
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Simple meanings of Inverse of a Function
sinx is a function and sin^{1}x is an angle
Functions 
Domain (Value of x) 
Range (Value of y) Principal Value Branch 
[1,1] 

[1,1] 

R 

R 

R(1,1) 

R(1,1) 
Functions 
Principal Value
Branch 












For a^{2}
+ b^{2}, substitution is x = atan θ
or x = acot θ
For a^{2}
 b^{2}, substitution is x = asin θ
or x = acot θ
the substitution is x^{2}
= a^{2}cos2
Chapter 2 Miscellaneous Exercise Q 14
Prove that:Solution
********************************Graphs of cosx and cos^{1}x
Graphs of tanx and tan^{1}x]
Graphs of cotx and cot^{1}x
Graphs of secx and sec^{1}x
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