- #1

- 37

- 0

is y=sin(x) the end behavior of y=sin(x/2)?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter frenkie
- Start date

- #1

- 37

- 0

is y=sin(x) the end behavior of y=sin(x/2)?

- #2

- 1,307

- 108

Yep, oscillatory. the function oscillates between -1 and 1.

- #3

- 37

- 0

I wish i knew what that looks like? is there a picture anywhere? sorry if thats too much trouble.

- #4

- 37

- 0

and why is it oscillatory?

- #5

- 1,307

- 108

frenkie said:is the end behavior of sin(x/2) = sin(x) because the function settles on that equation...and i have no idea why it is oscillatory? care to explain?

also, are there any interesting points in the graph of sin(x/2)...i think the teacher is asking for asymptotes, holes and etc...which don't exist in sin(x/2)..correct?

sin(x/2) looks just like sin(x), only its squished along the x-axis by a factor of 2.

- #6

- 37

- 0

also, are there any interesting points in the graph of sin(x/2)...my last question.

- #7

- 1,076

- 1

The behaviour of trig fns like sine is fundamental!!!

Have a look on mathworld or such.

(btw: in answer to your last question - zero at 0, 2n\pi, \pi\in\mathbb{Z}, diff to find extrema etc...)

- #8

- 1,307

- 108

J77 said:

The behaviour of trig fns like sine is fundamental!!!

Have a look on mathworld or such.

(btw: in answer to your last question - zero at 0, 2n\pi, \pi\in\mathbb{Z}, diff to find extrema etc...)

[tex]sin\left( \frac{x}{2}\right) =0\mbox{ if }x=2n\pi,n\in\mathbb{Z}[/tex]

J77, double click on the equations to see how to typeset in here (we don't use $..$)

- #9

- 37

- 0

thank you very much guys..appreciate your help...

- #10

- 1,307

- 108

And no, there are no other points of interest.

- #11

- 1,076

- 1

benorin said:And no, there are no other points of interest.

Thanks for the latex thing, benorin.

- #12

- 1,307

- 108

J77 said:

Thanks for the latex thing, benorin.

Here is some more help for you: PF resources for learning LaTeX Math Typesetting (a recent post of mine in which I had gone and dug it up.)

- #13

Tom Mattson

Staff Emeritus

Science Advisor

Gold Member

- 5,500

- 8

frenkie:is y=sin(x) the end behavior of y=sin(x/2)?

benorin:Yep, oscillatory. the function oscillates between -1 and 1.

The question doesn't even make any sense. But I would hesitate before saying, "yep". Yes, they do both oscillate between the same 2 fixed numbers, but the former oscillates twice as rapidly as the latter.

benorin said:sin(x/2) looks just like sin(x), only its squished along the x-axis by a factor of 2.

No, it is

Share: