Question

Using Radians find the amplitude and period of each function. Then Graph. Question 8. Please make sure to make the graph correctly

Answer 1

SOLUTION

Given the information and graph on the question tab;

$\begin{gathered} \text{y=3cos\lparen}\frac{\theta}{3}\text{\rparen----equation1} \\ \\ \end{gathered}$

Given that the general cosin function is expressed as

$\begin{gathered} y=Acos(Bx+C)----\text{ equation2} \\ where \\ A=amplitude \\ period=\frac{2\pi}{B} \end{gathered}$

By comparing equations 1 and 2, we have

$\begin{gathered} A=3 \\ B=\frac{1}{3} \end{gathered}$

Thus, we have

$\begin{gathered} Amplitude\text{ =3} \\ Period=\frac{2\pi}{\frac{1}{3}}=2\pi\times3=6\pi \end{gathered}$