Find the range of the function,

y=sin(sin(sin(sin(sin x))))

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- Oct 10th 2006, 07:46 AM #1

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- Oct 10th 2006, 11:03 AM #2

- Oct 10th 2006, 02:15 PM #3

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- Oct 11th 2006, 12:52 AM #4

- Oct 13th 2006, 06:17 PM #5

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- Oct 14th 2006, 12:04 AM #6

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- Oct 14th 2006, 06:52 PM #7

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- Oct 14th 2006, 07:36 PM #8

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- Oct 14th 2006, 11:13 PM #9

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Supose that in this case the range were expresible in the form:

[-tan(tan(7)), +tan(tan(7)]

while this may numerically be a different range depending on whether we are

in degrees or radians, the most elegant form of the answer does not care

two hoots about which angle mode we use.

A more interesting question about this problem might be what is the domain?

There are two natural assumptions one could make for the domain, and they

are**R**and**C**. Each of these assumptions gives rise to a different answer,

and each is equally plausible as a guess at the setters intention. If I were

solving this problem I would solve both of these possibilities.

RonL

- Oct 15th 2006, 12:07 AM #10

- Oct 15th 2006, 12:16 AM #11

- Oct 15th 2006, 02:48 AM #12

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- Oct 15th 2006, 03:19 AM #13

- Oct 15th 2006, 03:42 AM #14

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Yes I did, and it agrees with what I think the solution for the real

domain should be. However I'm not the setter of this problem, nor have I

discussed it with him so I don't know what he thinks a correct solution would

look like

RonL

(who thinks the quoting in this thread is too complex for white

text - you would not believe how messy some of my posts

have been while sorting out the quoted and reply text)

- Oct 15th 2006, 04:29 AM #15

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