A Sinusoid is a cyclic function. The equation of the sinusoid shown in the graph is y=2Cos(2πx/3).
What is the general function of a sinusoid function?
The general equation of the sinusoid shown is given by the following equation,
[tex]y = a\ \cos\left(\frac{2\pi x}{b}\right)[/tex]
where a is the amplitude of the graph, and b is the length of a complete cycle.
In the given graph the amplitude of the function is 2, while the length of the cycle is (2π/3). Therefore, The equation of the sinusoid shown in the graph can be written as,
[tex]y = 2 \cos\left(\dfrac{2\pi x}{3}\right)[/tex]
Hence, the equation of the sinusoid shown in the graph is y=2Cos(2πx/3).
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