Trigonometric functions are mathematical functions that relate the angles of a triangle to the ratios of its sides. They are widely used in various fields such as physics, engineering, and computer science. The main trigonometric functions are sine (sin), cosine (cos), and tangent (tan), which are defined based on the ratios of the sides of a right triangle.

Example:

Let's consider a right triangle with one angle measuring 30 degrees. The sine of this angle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine of the angle is equal to the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. The tangent of the angle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

Exercises:

Find the value of sin(45 degrees).

Calculate the value of cos(60 degrees).

Determine the tangent of 30 degrees.

Answers for the exercises above:

The value of sin(45 degrees) is approximately 0.707.