Question

Determine the period of the function. What is the amplitude of the sinusoidal function?

Answer 1

Case: Period and Amplitude

Method:

a) The period of the function

`g(x)=cos((x)/(3))`

Compared to the standard

`\begin{gathered} T=(2\pi)/((1)/(3)) \\ T=6\pi \end{gathered}`

The Period,

`T=6\pi`

b)

`\begin{gathered} f(x)=(1)/(2)sinx \\ Amplitude \\ A=(1)/(2) \end{gathered}`

Because the amplitude A is a fraction, it is a vertical compression

Final answers:

`\begin{gathered} Period,T=6\pi \\ Amplitude,A=(1)/(2) \\ Compressed\text{ }Vertically \end{gathered}`