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September 19th, 2009, 04:59 PM   #1
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Domain of sin function! Please help !

Find the domain.
g(t) = sin(e^(-t))
Is it possible to determine the domain even without the use of a calculator?
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September 19th, 2009, 05:02 PM   #2
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Re: Domain of sin function! Please help !

the domain is any real number
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September 19th, 2009, 05:04 PM   #3
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Re: Domain of sin function! Please help !

But how did you know? Could you please explain? Thanks
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September 19th, 2009, 05:13 PM   #4
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Re: Domain of sin function! Please help !

Quote:
Originally Posted by letzdiscuss
But how did you know? Could you please explain? Thanks

sin is periodic, it endlessly repeats the same pattern of values. think of a circle and imagine how the position of a circle you'd be sitting could only be a number of possibilities no matter how many times you spin around forwards or backwards. so if e^(-t) outputs a real number for whatever real number you put into t, sin(e^(-t)) has a domain of all real numbers
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September 19th, 2009, 05:14 PM   #5
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Re: Domain of sin function! Please help !

Quote:
Originally Posted by ElMarsh
Quote:
Originally Posted by letzdiscuss
But how did you know? Could you please explain? Thanks

sin is periodic, it endlessly repeats the same pattern of values. think of a circle and imagine how the position of a circle you'd be sitting could only be a number of possibilities no matter how many times you spin around forwards or backwards
Hmmm..so it doesn't matter what value/notations are inside the bracket?
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September 19th, 2009, 05:15 PM   #6
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Re: Domain of sin function! Please help !

Quote:
Originally Posted by letzdiscuss
Quote:
Originally Posted by ElMarsh
Quote:
Originally Posted by letzdiscuss
But how did you know? Could you please explain? Thanks

sin is periodic, it endlessly repeats the same pattern of values. think of a circle and imagine how the position of a circle you'd be sitting could only be a number of possibilities no matter how many times you spin around forwards or backwards
Hmmm..so it doesn't matter what value/notations are inside the bracket?
it does, but e^(-t) always outputs a real number for whatever t
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September 19th, 2009, 05:21 PM   #7
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Re: Domain of sin function! Please help !

Alright I got it, Thanks a bunch !!
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