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.