Content
Definition
Cosine of an acute angle α (COS α) is the ratio of the adjacent leg (b) to the hypotenuse (c) in a right triangle.
cos α = b / c
For example:
b = 4
c = 5
cos α = b / c = 4 / 5 = 0.8
cosine plot
The cosine function is written as y = cos (x). The graph is called cosine wave and in general it looks like this:
Cosine wave – periodic function with main period
Cosine Properties
Below in tabular form are the main properties of the cosine with the formulas:
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| Property | Formula | |||||||||||||||||||||||||
| Symmetry | Symmetry | Pythagorean trigonometric identity | Cosine of a double angle | Cosine of sum of angles | Cosine of angle difference | Sum of cosines | ||||||||||||||||||||
| cosine difference | ||||||||||||||||||||||||||
| Product of cosines | ||||||||||||||||||||||||||
| Product of cosine and sine | ||||||||||||||||||||||||||
| cosine derivative | Cosine integral | Euler formula | Обратная к косинусу функция – это обратная к косинусу функция x, при -1≤x≤1. Если косинус у равняется х (cos y = x), значит арккосинус x равен у: arccos x = cos-1 x = y Например: arccos 1 = cos-1 1 = 0° (0 рад) Таблица косинусов
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