Cotangent
The function defined by 
, where 
is the Tangent. The Maclaurin Series for cot
is
 |  |  | |
 |  |
where
is a Bernoulli Number.
It is known that, for
, 
is rational only for 
.See also Hyperbolic Cotangent, Inverse Cotangent, Lehmer's Constant, Tangent
References
Abramowitz, M. and Stegun, C. A. (Eds.). ``Circular Functions.'' §4.3 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 71-79, 1972. Spanier, J. and Oldham, K. B. ``The Tangent 
and Cotangent 
Functions.'' Ch. 34 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 319-330, 1987.
- Gergonne Point
- Germain Primes
- Gerono Lemniscate
- Gersgorin Circle Theorem
- G-Function
- g-Function
- Ghost
- Gibbs Constant
- Gibbs Effect
- Gibbs Phenomenon
- Gigantic Prime
- Gilbrat's Distribution
- Gilbreath's Conjecture
- Gill's Method
- Gingerbreadman Map
- Girard's Spherical Excess Formula
- Girko's Circular Law
- Girth
- Giuga Number
- Giuga's Conjecture
- Giuga Sequence
- Glaisher-Kinkelin Constant
- Glide
- Glissette
- Global C(G;T) Theorem