Lesson 2

Self-Check 1

1. Determine the two solutions to the equation cos θ = 0.27 rounded to the nearest degree. Explain each step in the process. Answer
   
   
2. Solve the equation sin θ = 0.86 to the nearest degree. Explain each step in the process. Answer
   
   
3. Solve the equation tan θ = 4.01 to the nearest degree. Explain each step in the process. Answer
   
   
4. For each of the following equations, sketch a diagram with all appropriate angles labelled and determine the solutions.
   
   
   1. cos θ = 0.23 Answer
      
      
   2. cos θ = −0.15 Answer
      
      
   3. sin θ = 0.563 Answer
      
      
   4. sin θ = −0.751 Answer
      
      
   5. tan θ = 2.83 Answer
      
      
   6. tan θ = −0.9 Answer
      
      
5. The equation sin θ = 1 has only one solution. State the solution and explain why there are not two solutions. Answer
   
   
6. Solve the following equations.
   
   
   1. 2 sin θ = 0.766 Answer
      
      
   2. 5 tan θ = 11.43 Answer