06Gmodelling

= Modelling with Circular Functions =

We use circular functions (trig functions) to model a variety of periodic behaviour.

** Example 1 **
The temperature, T degrees Celsius, in a greenhouse at t hours after midnight is modelled by the formula: math .\qquad T=25-4\cos\dfrac{\pi(t-3)}{12},\; \text{ for } 0 \leqslant t \leqslant 24 math

(a) State the maximum and minimum temperature in the glasshouse. (b) At what time does the maximum temperature occur? (c) At what times will the temperature be equal to 23ºC? (d) Sketch the graph of the temperature for one full day. media type="custom" key="8270446" media type="custom" key="8270452". . . media type="custom" key="8270458". . . media type="custom" key="8270462". . . media type="custom" key="8270470"

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