Tangent
The tangent function is defined by
 | (1) |
is the Sine function and 
is the Cosine function. The word ``tangent,'' however, alsohas an important related meaning as a Line or Plane which touches a given curve or solid at a single point. These geometrical objects are then called a Tangent Line or Tangent Plane, respectively.The Maclaurin Series for the tangent function is
 |  |  | |
|  | (2) |
where
is a Bernoulli Number.
is Irrational for any Rational 
, which can be proved by writing as a Continued Fraction
 | (3) |
| |  | (4) |
An interesting identity involving the Product of tangents is
 | (5) |
is the Floor Function. Another tangent identity is | (6) |
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.
Beeler, M.; Gosper, R. W.; and Schroeppel, R. HAKMEM. Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, Feb. 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.
- Mean Cluster Density
- Mean Curvature
- Mean Deviation
- Mean Distribution
- Mean Run Count Per Site
- Mean Run Density
- Mean Square Error
- Mean-Value Theorem
- Measurable Function
- Measurable Set
- Measurable Space
- Measure
- Measure Algebra
- Measure Polytope
- Measure-Preserving Transformation
- Measure Space
- Measure Theory
- Mechanical Quadrature
- Mecon
- Medial Axis
- Medial Deltoidal Hexecontahedron
- Medial Disdyakis Triacontahedron
- Medial Hexagonal Hexecontahedron
- Medial Icosacronic Hexecontahedron
- Medial Inverted Pentagonal Hexecontahedron