Find the period and amplitude for f(x)= 2sin(3x)

Question

asked Jul 17, 2023 221k views

1 Answer

Chevone · Answer 1 · 2023-07-21T01:56:06+0000

Given:

$f(x)=2\sin(3x)$

Required:

To find the period and amplitude of the given function.

Step-by-step explanation:

Given function is in the form of

$y=a\sin bx$

Here the amplitude is

Period

$=(2\pi)/(b)$

Now consider the given function

$y=2\sin3x$

Here the amplitude is

$\begin{gathered} =|2| \\ =2 \end{gathered}$

And period is

$=(2\pi)/(3)$

Final Answer:

The amplitude is 2 and the period is

$(2\pi)/(3)$