- #36

d_leet

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frenkie said:end behavior is a straight line going to negative and positive infinity?

What are you talking about? What does the graph of the function y = sin(x) look like?

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- Thread starter frenkie
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- #36

d_leet

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frenkie said:end behavior is a straight line going to negative and positive infinity?

What are you talking about? What does the graph of the function y = sin(x) look like?

- #37

frenkie

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its an even graph going up to 1 and down to -1...

- #38

HallsofIvy

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- #39

arildno

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What does the graph tell you?

- #40

frenkie

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it tells you that the roots of sin(x/2) are at -2Pi, o and 2Pi? this is HARD!

- #41

d_leet

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frenkie said:it tells you that the roots of sin(x/2) are at -2Pi, o and 2Pi? this is HARD!

Yes... But there are a lot more zeros than that... What do you know about the sine function?

- #42

frenkie

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- #43

d_leet

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frenkie said:

How can you be asking these questions when you are supposed to be finding the extrema of this function? Surely you must be in a calculus class, and in my experience most calculus classes require some prerequisite knowledge of trigonometry and trigonometric functions. You do realize that the sine funtion is a trigonometric fundtion right?

Next, What does it mean mathematically for a function to be even? Because f(x) = sin(x) is absolutely not an even function.

If a function is even it satisfies the following equlity.

f(x) = f(-x)

graphically this means that the function is symmetric about the y axis.

I have no clue what you mean by "limits at positive and negative infinity" because you give no context for them in the post I have quoted.

And when I say there are a lot more than three zeros, I specifically mean that there are an infinite number of zeros for the function y = sin(x/2) just as there are of the function y = sin(x). If you do not know this you are in no position to be speaking of the limits as x goes to positive or negative infinity, or finding the local extrema of this function. I suggest that you do a bit of research on the sine function before you make any more attempts at this problem.

- #44

frenkie

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can u tell me what is greater then 2Pi on a unit circle? please. thats what i need to know.

- #45

d_leet

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frenkie said:can u tell me what is greater then 2Pi on a unit circle? please. thats what i need to know.

What are you talking about?

- #46

frenkie

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- #47

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- #48

d_leet

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frenkie said:

It would really help if you would give some context as to what you are talking about, however I would suppose that 3pi, 4pi, 5pi, 1729pi etc.. would all be greater that 2pi...

- #49

HallsofIvy

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