INTRODUCTORY EXERCISES-Modelling with Trigonometric Functions


(2)A company in a northern climate has sales of skis as given by:

S(t) = 10[1 - cos(/6) t],

where t = time, in months since July 1, and S(t) is in thousands of dollars.
  1. Sketch a graph of the function over a 12-month interval [0,12].
  2. What is the period of the function?
  3. What is the minimum amount of sales and when does it occur?
  4. What is the maximum amount of sales and when does it occur?

SOLUTION:

(a) 
(b) 12 months (c) The minimum amount of sales is $ 0 and occurs on July 1 (d) The maximum amount of sales is $ 20,000 and occurs on January 1


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