1. Using the right triangle shown in the illustration (below right) find the EXACT value of :
   1. sin θ 
   2. cos θ 
   3. tan θ 
   
    
2. Find the EXACT value of :

   a.  sin 30°

   b.  cos 30°

   c. tan 30°

   
    
3. Find the approximate value (to four decimal places) of :

   a.  sin 30°

   b.  cos 30°

   c. tan 30°

   
    
4. Find approximate values (to four decimal places) of the three trig ratios (sine, cosine & tangent) for each angle θ as indicated below:

   θ = 10° θ = 20° θ = 40°

   θ = 50° θ = 70° θ = 80°

   θ = π/6  θ = π/4 θ = π/3

   θ = π/2 θ = 0 θ = 1

   
    
5. Using the right triangle shown in the illustration (below right) find the EXACT value of :
   1. sin θ 
   2. cos θ 
   3. tan θ 
   
    
6. If sin θ = 8/17, then find the EXACT value of :

   a.  cos θ

   b. tan θ

   
    
7. If cos θ = 5/13, then find the EXACT value of :

   a.  sin θ

   b. tan θ

   
    
8. Solve the following right triangles (for their missing values):
   1. α = 33.2°,  a = 8.0"
   2. β = 29°,  c = 35 mm
   3. α = π/4,  b = 5¾ yd
   
    
9. Show (prove) that for any value of θ:  tan θ = sin θ ÷ cos θ.
    
10. Show (prove) that for any value of θ:  sin²θ + cos²θ = 1.