Engineering disciplines apply trigonometric principles to design safe, efficient structures and systems.
Civil Engineering
- Bridge Design: Calculating load distributions in trusses
- Surveying: Using theodolites for angle measurement
- Architecture: Curved structure calculations
Suspension Cable Tension: T = w/(2sinθ)
Mechanical Systems
- Gear Design: Tooth profile calculations
- Camshafts: Lobe displacement profiles
- Linkages: Four-bar mechanism analysis
Roof Truss Calculation
60° pitched roof with 10m span:
Rafter length = 5/cos(30°) ≈ 5.77m
Force at joint = 2000N/sin(60°) ≈ 2309N