Let x = π / 3 in the identity in Example 8 and define the functions f and g as follows.

(a) What are the domains of the functions f and g?
(b) Use a graphing utility to complete the table.

(c) Use the graphing utility to graph the functions f and g.
(d) Use the table and the graphs to make a conjecture about the values of the functions f and g as
h †’ 0+.

sin[(7/3) + h] sin(7/3) f(h) = n(sin h g(h) = Cos 3 h sin cos h