### 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.
- Sketch a graph of the function over a 12-month interval [0,12].
- What is the period of the function?
- What is the minimum amount of sales and when does it occur?
- 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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