What is the sinusoidal formula?
There is one main formula for sinusoidal curves. Both radians and degrees can be used in the formula.
The variables a, b and c in the formula are called parameters. If you would like to learn more about parameters and how they affect the sinusoidal curve on a graph, click here: |
What is the mother of all sinusoidal functions?
![Picture](/uploads/3/0/7/7/30776361/7646115.png?325)
All functions have a mother, and it is the simplest form of a type of function.
What is the simplest form of a sinusoidal function?
What is the simplest form of a sinusoidal function?
Don't you recognize this graph from somewhere? It's the graph of Russel on the ferris wheel!
This graph, is displaying the simplest sinusoidal curve. The formula to go with this graph is:
This graph, is displaying the simplest sinusoidal curve. The formula to go with this graph is:
Remember how we explored periods before? A period is one complete shape on the curve.
Look on the graph, mark the start point and the end point of one period and then measure the length. The length is 2𝛑. Which simultaneously means that the standard period is 2𝛑, since the graph is showing the mother of all sinusoidal curves - or the standard sinusoidal curve. |
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how is the standard sinusoidal curve different from standard curves of other functions?
What are radians?
A radian is the natural measure of a circle. It is measured in 𝛑. In a circle, there are 360°, which equals 2𝛑 .