Fundamental Concepts of Trigonometry and Goniometry

The page presents a detailed mathematical framework covering essential trigonometric concepts and the unit circle. The content explores the relationship between seno, coseno tangente and their values across different quadrants.

Definition: The unit circle is a circle with radius 1 centered at the origin, used to define trigonometric functions.

Vocabulary: Differenza tra gradi e radianti refers to the two main systems of angle measurement, where 360 degrees equals 2π radians.

Example: For a 30° angle, cos'è il seno di un angolo equals 1/2, while the cosine equals √3/2.

Highlight: Special triangles $30-60-90 and 45-45-90$ form the basis for determining exact trigonometric values.

Key mathematical relationships shown include:

• The Pythagorean identity (sin²θ + cos²θ = 1)
• Values for standard angles (30°, 45°, 60°, 90°, etc.)
• Quadrant-specific relationships for trigonometric functions

The page also includes a detailed tabella gradi radianti showing the conversion between degrees and radians, with special attention to common angles like 30 gradi in radianti and pi greco radianti.