Homework Help

Demonstrate that T = 4pie is period of y = sin x+|sin2x|?  

user profile pic

ruals | Salutatorian

Posted July 7, 2013 at 3:46 PM via web

dislike 0 like

Demonstrate that T = 4pie is period of y = sin x+|sin2x|?

 

1 Answer | Add Yours

user profile pic

lfryerda | High School Teacher | (Level 2) Educator

Posted July 7, 2013 at 4:02 PM (Answer #1)

dislike 1 like

To determine the period of the function `y=sinx+|sin2x|` , we need to determine how long it takes for the function to repeat.

Given the function 

`f(x)=sinkx`

its period is `T={2pi}/k` .

This means that `sinx` has a period of `2pi` and `|sin2x|` has a period of `{2pi}/2=pi` .

Now when two functions are added together, the period of the functions is the longer period of the two functions.

This means that the period of `y=sinx+|sin2x|` is `2pi` , not `4pi` as stated in the question.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes