Definition: In mathematics, an antisine function is a special type of trigonometric function that has a negative reciprocal value. An antisine function is defined as: $$ \sin^{-1} (x) = -\frac{1}{x} $$ Where \( x \) is the argument of the sine function. An example of an antisine function is: $$ \sin^{-1} (-3) = -\frac{\pi}{6} $$ This means that for any angle