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Definition
Sine of an acute angle α (without α) is the ratio of the opposite leg (a) to the hypotenuse (c) in a right triangle.
without α = a / c
For example:
a = 3
c = 5
without α = a / c = 3 / 5 = 0.6
Sine Plot
The sine function is written as y = without (x). The graph is called sinusoid and in general it looks like this:
A sinusoid is a periodic function with a period
Sine Properties
Below in tabular form are the main properties of the sine with the formulas:
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| Property | Formula | ||||||||||||||||||||||||||
| Symmetry | Symmetry | Pythagorean trigonometric identity | Sine of a double angle | Sine of the sum of angles | Sine of angle difference | sum of sines | |||||||||||||||||||||
| Sine difference | |||||||||||||||||||||||||||
| Sine work | |||||||||||||||||||||||||||
| Product of sine and cosine | |||||||||||||||||||||||||||
| Law of sine | Sinus derivative | Sine integral | Euler formula | Обратная к синусу функция – это обратная функция к синусу x, при -1≤x≤1. Если синус угла у равняется х (sin y = x), значит арксинус x равен у: arcsin x = sin-1 x = y Таблица синусов
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