Question

Question 9 using radians, find the amplitudeand period of each function and graph it

Answer 1

Given

`y=(1)/(2)\cdot\sin(4\theta)`

Find

Amplitude and period of the function and graph it.

Step-by-step explanation

the amplitude of the function is the largest value that the given function may attain. the amplitude of the given function is 1/2.

to find the period of the function , divide 2pi by the coefficient of theta

here , the coefficient of theta is 4 .

so , the period =

`\begin{gathered} (2\pi)/(4) \\ \\ (\pi)/(2) \end{gathered}`

given function has an amplitude of 1/2 and period of pi/2.

now , we graph the function.

the graph completed one period in the interval

`0\leq\theta\leq(\pi)/(2)`

that an effect of shrinking the graph horizontally,

Final Answer

The graph will be made as shown