SUMMARY
The discussion centers on calculating the exact value of tan(15°) using the tangent subtraction formula. The correct approach involves using the identity tan(45° - 30°) = (tan(45°) - tan(30°)) / (1 + tan(45°)tan(30°). The values used are tan(45°) = 1 and tan(30°) = 1/√3. The final expression simplifies to (1 - 1/√3) / (1 + 1/√3), which can be rationalized for the exact value.
PREREQUISITES
- Understanding of trigonometric identities
- Familiarity with the tangent subtraction formula
- Basic algebra for rationalizing expressions
- Knowledge of special angles in trigonometry (30°, 45°)
NEXT STEPS
- Study the tangent subtraction formula in detail
- Practice rationalizing denominators in trigonometric expressions
- Explore other trigonometric identities for angle subtraction
- Learn how to derive values for other angles using similar methods
USEFUL FOR
Students studying trigonometry, mathematics educators, and anyone interested in mastering angle calculations and trigonometric identities.
