arcsin
Noun
Meaning
the inverse function of the sine; the angle that has a sine equal to a given number
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Examples
If θ measures elevation from the reference plane instead of inclination from the zenith the arccos above becomes an arcsin, and the cos θ and sin θ below become switched.
The principal inverses are usually defined as: : The notations sin −1 and cos −1 are often used for arcsin and arccos, etc. When this notation is used, the inverse functions could be confused with the multiplicative inverses of the functions.
Later, the system was further improved by use of an arcsine-based modulator that included a 1-0.52E term in the denominator of the arcsin generator equation.
Newton himself used an arcsin series to compute a 15 digit approximation of in 1665 or 1666, later writing "I am ashamed to tell you to how many figures I carried these computations, having no other business at the time."