Domain is what goes in,
Range is what comes out
For inverse functions
x goes in, and angle comes out.
So, domain is all possible values of x
and range is all possible values of angles
Domain and Range of Trigonometry Functions
Domain |
Range |
|
sin -1 |
[–1, 1] |
[-π/2,π/2] |
cos -1 |
[–1, 1] |
[0,π] |
tan -1 |
R |
(-π/2,π/2) |
cosec -1 |
R – (–1, 1) |
[-π/2,π/2] - {0} |
sec -1 |
R – (–1, 1) |
[0,π]-{π/2} |
cot -1 |
R |
(0,π) |