## Inverse Sine

The function , where is the Sine and the superscript denotes the Inverse Function, not the multiplicative inverse. The inverse sine satisfies

 (1)

for Positive and Negative , and
 (2)

for . The inverse sine is given in terms of other inverse trigonometric functions by
 (3) (4) (5)

for Positive or Negative , and
 (6) (7) (8) (9)

for .

Abramowitz, M. and Stegun, C. A. (Eds.). Inverse Circular Functions.'' §4.4 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 79-83, 1972.