f | Restricted Domain | f−1 | Domain |
---|---|---|---|
f(x)=sinx | [−π2,π2] | f−1(x)=sin−1x | [−1,1] |
f(x)=cosx | [0,π] | f−1(x)=cos−1x | [−1,1] |
f(x)=tanx | (−π2,π2) | f−1(x)=tan−1x | (−∞,∞) |
f(x)=cscx | (−π,−π2]∪(0,π2] | f−1(x)=csc−1x | |x|≥1 |
f(x)=secx | [0,π2)∪[π,3π2) | f−1(x)=sec−1x | |x|≥1 |
f(x)=cotx | (0,π) | f−1(x)=cot−1x | (−∞,∞) |