Trigonometric Functions

The graph of the sine function

y=sin(x)

and in general the graph of a function of the form:

y=A*sin(2*pi*(x-x0)/T)

is called a sinusoid. The purpose of the following example is to show that the graph of

y=cos(x)

is also a sinusoid.

Using this applet a pupil may be asked to find the value of a for which sin(x+a/2)=cos(x) for every x, and realize that the value is equal to pi=3.1416.

The next example includes black, blue and red SEGMENTS (labeled with their lengths) to illustrate the meaning of the parameters A, x0 and T, respectively, in the general expression of a sinusoid:  

y=A*sin(2*pi*(x-x0)/T)

These examples illustrate the use of the tools EQUATIONS and SEGMENTS.

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	Ministerio de Educación, Cultura y Deporte. Año 2000