To describe a real-life situation that can be modelled by a periodic function.
Interpretation:
A periodic function is the function which repeats its values at regular intervals. The graph of a periodic function looks like wave. In general, all sine and cosine functions are periodic functions. A function is said to be periodic if it follows the relation:
where
The sine and cosine function has general graph like this:
Now, the periodic nature of trigonometric functions is useful for modelling oscillating motions or repeating patterns that occur in real life. One of the examples for a real life situation is the rise and fall of tides. The other real example is the oscillation of the pendulum. The motion of pendulum follows a periodic function.
Chapter 10 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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