Angle-Side Relations (AYT)
Learning Time: 4-12 hours
Content: Angle-side relations are expanded upon in the AYT curriculum with trigonometric rules (sine, cosine) and advanced problems. This topic includes analytical solutions of triangles and their applications in space. The current 2025 AYT curriculum also includes angular analysis with vectors and complex proofs.
- Trigonometric Relations:
- Sine Rule (a/sin A = b/sin B)
- Cosine Rule (a² = b² + c² – 2bc·cos A)
- Area Formula (1/2 ab sin C)
- Advanced Relations:
- Perimeter of a Triangle and Angle Effect
- Angle-Side Analysis with Vectors
- Trigonometric Identities
- Problem Solving and Proof:
- Complex Triangle Problems
- Geometric Proof Techniques
- Angle-Side Relationships in Space
- Applications:
- Triangle Analysis in Engineering
- Navigation in Spacecraft
- Trigonometric Modeling
- Affecting Factors:
- Side Ratios
- Angle Changes
- Use of Coordinate System
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
