Trigonometric Functions

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Trigonometric Functions

  1. OPEN ENDED Write an equation giving the value of the Cosine function for an angle measure in its domain. Then, write your equation in the form of an inverse function.
  2. OPEN ENDED Write the equation of a trigonometric function with a phase shift of -45°. Then graph the function, and its parent graph.
  3. Writing in Math If the formula for the temperature T in degrees Fahrenheit of a city t months into the year is given by T = 50 + 25 sin(6t), explain how to find the average temperature and the maximum and minimum predicted over the year.
  4. Writing in Math Use the information on page 842 to explain how you can predict the behavior of tides. Explain why certain tidal characteristics follow the patterns seen in the graph of the sine function.