Associated Angles
This section introduces the concept of associated angles and their relationships in trigonometry.
Key relationships covered:
- Supplementary angles: π−θ
- Opposite angles: −θ
- Complementary angles: π/2−θ
Definition: Angoli associati goniometria refers to angles that have specific relationships with a given angle θ.
For each relationship, the guide provides formulas for sine, cosine, and tangent.
Formula: For supplementary angles, cosπ−θ = -cos θ, sinπ−θ = sin θ, tanπ−θ = -tan θ
Example: cos 120° = -cos180°−60° = -cos 60° = -1/2
The page includes visual representations of these relationships on the unit circle.