SUMMARY
The discussion focuses on calculating the trigonometric ratios for the angle θ = 14π. It is established that the equivalent angle for 14π is π, leading to the following results: sin(14π) = sin(π) = 0, cos(14π) = cos(π) = -1, and tan(14π) = tan(π) = 0. The ratios are derived using the unit circle principles, confirming that tan(θ) is defined as sin(θ)/cos(θ).
PREREQUISITES
- Understanding of unit circle concepts
- Knowledge of trigonometric functions: sine, cosine, and tangent
- Ability to simplify angles using periodic properties of trigonometric functions
- Familiarity with radians and their equivalence in trigonometric calculations
NEXT STEPS
- Study the unit circle and its application in trigonometry
- Learn about periodic properties of trigonometric functions
- Explore advanced trigonometric identities and their proofs
- Practice solving trigonometric equations involving multiple angles
USEFUL FOR
Students studying trigonometry, educators teaching trigonometric concepts, and anyone looking to solidify their understanding of trigonometric ratios and their applications.