TRIGONOMETRIC FUNCTIONS

Trigonometric functions are mathematical functions that relate the angles of a triangle with the lengths of its sides. The six basic trigonometric functions are:

1. *Sine (SIN) *: The reason between the length of the side opposite to the angle and the length of the hypotenuse.
2. *Coseno (cos) *: The reason between the length of the side adjacent to the angle and the length of the hypotenuse.
3. *Tangent (tan) *: The reason between the length of the side opposite to the angle and the length of the adjacent side.
4. *Cotangent (COT) *: The ratio between the length of the side adjacent to the angle and the length of the opposite side.
5. *Secante (sec) *: The reason between the length of the hypotenuse and the length of the side adjacent to the angle.
6. *GARANT (CSC) *: The reason between the length of the hypotenuse and the length of the side opposite to the angle.

*Properties*

1. *Periodicity *: Trigonometric functions are periodic, which means that they are repeated in regular intervals.
2. *Symmetry *: Some trigonometric functions have symmetry, which means they have reflex properties.

*Applications*

1. *Navigation *: Trigonometric functions are used in navigation to calculate distances and addresses.
2. *Physics *: They are used to describe the movement of objects in terms of position, speed and acceleration.
3. *Engineering *: They are used in engineering to design and analyze systems that involve angles and lengths.

*Trigonometric identities*

1. *Pythagorean identity *: Sin^2 (x) + cos^2 (x) = 1
2. *Sum identity *: without (a + b) = without (a) cos (b) + cos (a) without (b)