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Concept

The Graphs of and

The parent functions of sine and cosine functions are and respectively. Thus, it is important to know how their graphs look and some of their characteristics. Graphing them is done by first evaluating some inputs and obtaining their corresponding outputs using a table. Here, radians will be used, but the functions can be evaluated for degrees as well.

Plotting these points and connecting them with smooth curves gives the graphs.

Both functions have the amplitude which is half the difference between the greatest and least function values. These functions are both periodic, as they have a repeating pattern. The smallest repeating part of the graph is called a cycle. The horizontal length of the cycles is called the function's period, which is for both and