Aparticular sound wave can be graphed using the function y = –3 sin x. find the period of the function.

a. period = 2pi
b. period = –3
c. period = 3
d. period = 1/2

a) period = 2 pi.

Step-by-step explanation:

Given : A particular sound wave can be graphed using the function y = –3 sin x.

To find  :Find the period of the function.

Solution : We have given that y = –3 sin x.

By the sine function : =a sin (bx)  .

Where, a = amplitude,  b = any number ,

Formula of time period =

On comparing the sine function with given function

Here, a = -3 ,  b = 1

Plugging the values in formula of period

Then, Period  =  .

Period =  2 pi

Therefore, a) period = 2 pi.

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