Question

Find the amplitude and period of the function: () = −2 sin

Answer 1

For a function of the form:

$f(x)=A\sin (bx)$

Where:

A = Amplitude

b = Angular frequency

The period is given by:

$\begin{gathered} T=\frac{2\pi}{b} \\ \end{gathered}$

Therefore:

$\begin{gathered} T=\frac{2\pi}{1}=2\pi \\ and \\ A=-2 \end{gathered}$