Trigonometric Functions Evaluation Summary

Trigonometric Functions Evaluation

• Objective: Use given conditions to find all six trigonometric functions.
• Exercises: Focus on problems 7 to 12.
• Example Cases:
  • For Exercise 7: Given condition - sec(x) = -\frac{5}{7}; find all six functions.
  • For Exercise 8: Given condition - csc(y) = \frac{1}{tan(\theta)}; solve for trigonometric values.
  • Identify relationships using identities (e.g., Pythagorean identities, co-function identities).
• Trigonometric Functions Overview:
  • Sine: \sin(x)
  • Cosine: \cos(x)
  • Tangent: \tan(x) = \frac{\sin(x)}{\cos(x)}
  • Cotangent: \cot(x) = \frac{1}{\tan(x)}
  • Secant: \sec(x) = \frac{1}{\cos(x)}
  • Cosecant: \csc(x) = \frac{1}{\sin(x)}
• Finding Values: Utilize inverse relationships and identities for calculation.