Question: (a) Match the functions ω = f(t), ω = g(t), ω = h(t), ω = k(t), whose values are in the table, with the functions with formulas:
(i) ω = 1.5 + sin t
(ii) ω = 0.5 + sin t
(iii) ω = -0.5 + sin t
(iv) ω = -1.5 + sin t
(b) Based on the table, what is the relationship between the values of g(t) and k(t)? Explain this relationship using the formulas you chose for g and k.
(c) Using the formulas you chose for g and h, explain why all the values of g are positive, whereas all the values of h are negative.
