Make a table with 3 columns and 8 rows. In row 1, label the columns θ (°),θ (rad), and sineθ.  In the left column, starting in row 2, write 0, 2, 4, 6, 8, 10, and 12. 

a. Convert each of these angles, in degrees, to radians. Put the results in column 2. Show four decimal places. 

b. Calculate the sines. Put the results, showing four decimal places, in column 3. 

c. What is the first angle for which θ and sinθ differ by more than 0.0010? 

d. Over what range of angles does the small-angle approximation appear to be valid?