MODERATE EXERCISES-Modelling with Trigonometric Functions

(1) The voltage, V, of an electrical outlet in a home is given as a function of time, t (in seconds), by

V = Vo cos(120 t).
  1. What is the period of the oscillation?
  2. What does Vo represent?
  3. Sketch the graph of V against t. (Take Vo to be some unknown positive quantity.) Label the axes.
  4. If Vo is 0.5 volts, what is the voltage at time t = 30?
  5. If Vo is 0.5 volts, what is the first time when the voltage is 0.25 volts?
HINT: Use the coefficient of t to determine the period. For question (e), the question is asking you to set V = 0.25 and then solve for t.


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