arccotangent | arcctg

The inverse cotangent is the multivalued function cot^(-1) z, also denoted arccot z or arcctg z, that is the inverse function of the cotangent. The variants Arccot z (e.g., Beyer 1987, p. 141; Bronshtein and Semendyayev, 1997, p. 70) and Cot^(-1) z are sometimes used to refer to explicit principal values of the inverse cotangent, although this distinction is not always made. Worse yet, the notation arccot z is sometimes used for the principal value, with Arccot z being used for the multivalued function. Note that in the notation cot^(-1) z (commonly used in North America and in pocket calculators worldwide), cot z is the cotangent and the superscript -1 denotes an inverse function, not the multiplicative inverse.

cotangent | inverse cosecant | inverse cosine | inverse secant | inverse sine | inverse tangent | inverse trigonometric functions | Lehmer cotangent expansion | Machin-like formulas | Machin's formula | tangent