6 (ii)
The following table gives the inverse trigonometric function (principal value
branches) along with their domains and ranges sin–1
:
[–1, 1]
→
,
2 2
π π

−



cos–1
:
[–1, 1]
→
[0, π]
cosec–1
:
R – (–1,1)
→
,
2 2
π π

−


 – {0}
sec–1
:
R – (–1, 1)
→
[0, π] – { }
2
π
tan–1
:
R
→
2,
2
−π π





cot–1
:
R
→
(0, π)
Rationalised 2023-24
 26
MATHEMATICS
ANote
1 sin–1x should not be confused with (sin x)–1 In fact (sin x)–1 = 
1
sin x  and
similarly for other trigonometric functions