Solution:
Function Domain
sin−1(x) [−1,1] →→→→→Defined
cos−1(x) [−1,1] →→→→→Defined
tan−1(x) (−∞,∞) →→→→→Defined
cot−1(x) (−∞,∞) →→→→→Defined
sec−1(x) (−∞,−1]∪[1,∞) →→→→→ not Defined
cosec−1(x) (−∞,−1]∪[1,∞) →→→→→not Defined
As, you can see that, all inverse trigonometric functions are defined for, [tex]x=\frac{-1}{2}[/tex], except sec−1(x) and cosec−1(x)
, whose domain is not valid or do not exist when , [tex]x=\frac{-1}{2}[/tex].
