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单词 Inverse Cosine
释义

Inverse Cosine

The function , also denoted arccos(), where is the Cosine and the superscript denotes anInverse Function, not the multiplicative inverse. The Maclaurin Series for the inverse cosine range is

(1)

The inverse cosine satisfies
(2)

for Positive and Negative , and
(3)

for . The inverse cosine is given in terms of other inverse trigonometric functions by
(4)
 (5)
 (6)

for Positive or Negative , and
(7)
 (8)
 (9)
 (10)

for .

See also Cosine, Inverse Secant


References

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.

Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, pp. 142-143, 1987.


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