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 30−60−90and45−45−90 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.