Lesson 2

Explore

In Try This 1 you worked through three activities to identify some patterns for finding the solutions to equations in the form cos θ = k; sin θ = k, where −1 ≤ k ≤ 1; and tan θ = a, . In Try This 2 you will identify and confirm the patterns you may have noticed in Try This 1.

Try This 2

1. Work through Cosine Reflection Equation to help you identify methods for finding solutions to equations of the form cos θ = k, where −1 ≤ k ≤ 1.
   
   
    
   
   
   
   
2. Work through Sine Reflection Equation to help you identify methods for finding solutions to equations of the form sin θ = k, where −1 ≤ k ≤ 1.
   
   
    
   
   
   
   
3. Work through Tangent Reflection Equation to help you identify methods for finding solutions to equations of the form tan θ = a, .
   
   
    
   
   
   
   
4. Look back at the patterns you described in Share 1. How do they compare with the patterns you observed in the animations above?
   
   
5. Summarize your observations by creating three general rules that describe the relationship between the axis of reflection of the two solutions for cos θ = k, sin θ = k (−1 ≤ k ≤ 1), and tan θ = a, .

Save your responses in your course folder.