Contents
Content
Definition
Acute angle tangent α (tg α or tan α) is the ratio of the opposite leg (a) to the adjacent (b) in a right triangle.
tg α = a / b
For example:
a = 3
b = 4
tg α = a / b = 3 / 4 = 0.75
The graph is tangent
The tangent function is written as y = tg (x). The chart in general looks like this:
Tangent properties
Below in tabular form are the main properties of the tangent with formulas.
| Property | Formula | |||||||||||||||||||||||||||||||||||||||||||
| Symmetry | Symmetry | Trigonometric identities | Double angle tangent | Tangent of sum of angles | Angle difference tangent | Sum of tangents | Tangent difference | Tangent product |  | |||||||||||||||||||||||||||||||||||
| Product of tangent and cotangent |  «> | |||||||||||||||||||||||||||||||||||||||||||
| Tangent derivative | Integral tangent | Euler formula | Обратная к тангенсу функция – это обратная функция к тангенсу x, где x – любое число (x∈ℝ). Если тангенс угла у равняется х (tg y = x), значит арктангенс x равен у: arctg x = tg-1 x = y Например: arctg 1 = tg-1 1 = 45° = π/4 рад Таблица тангенсов
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