Lainefunktsioonide

Lainefunktsioonide, or trigonometric functions, are a set of functions that relate the angles of a triangle to the ratios of its sides. They are fundamental in trigonometry, a branch of mathematics that deals with the relationships between the sides and angles of triangles. The three primary trigonometric functions are sine (sin), cosine (cos), and tangent (tan). These functions are defined for all real numbers and are periodic, meaning they repeat their values at regular intervals.

The sine of an angle in a right triangle is the ratio of the length of the opposite side to the hypotenuse. The cosine of an angle is the ratio of the length of the adjacent side to the hypotenuse. The tangent of an angle is the ratio of the length of the opposite side to the adjacent side. These functions can also be defined for non-right triangles and in terms of the unit circle, where the angle is an arc's angular measurement and the function values are the coordinates of the arc's endpoint on the unit circle.

Trigonometric functions are essential in various fields such as physics, engineering, and computer graphics. They are used to model periodic phenomena, analyze waves, and describe rotational motion. Additionally, they are crucial in calculus, where they are used to model and solve problems involving change and motion.

The inverse trigonometric functions, also known as arc functions, are used to obtain an angle from a trigonometric ratio. The three main inverse trigonometric functions are arcsine (arcsin), arccosine (arccos), and arctangent (arctan). These functions are widely used in solving triangles and in various applications where the angle needs to be determined from known side ratios.