§4.24 Inverse Trigonometric Functions: Further Properties

§4.24(i) Power Series

4.24.1.
4.24.2.
4.24.3, .
4.24.4, .
4.24.5,

which requires to lie between the two rectangular hyperbolas given by

4.24.6

§4.24(ii) Derivatives

4.24.10.
4.24.11.

4.24.13
4.24.14
4.24.15
4.24.16
4.24.17

The above equations are interpreted in the sense that every value of the left-hand side is a value of the right-hand side and vice versa. All square roots have either possible value.