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September 19th, 2009, 04:59 PM  #1 
Newbie Joined: Sep 2009 Posts: 6 Thanks: 0  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? 
September 19th, 2009, 05:02 PM  #2 
Senior Member Joined: Apr 2009 Posts: 201 Thanks: 0  Re: Domain of sin function! Please help !
the domain is any real number

September 19th, 2009, 05:04 PM  #3 
Newbie Joined: Sep 2009 Posts: 6 Thanks: 0  Re: Domain of sin function! Please help !
But how did you know? Could you please explain? Thanks

September 19th, 2009, 05:13 PM  #4  
Senior Member Joined: Apr 2009 Posts: 201 Thanks: 0  Re: Domain of sin function! Please help ! Quote:
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  
September 19th, 2009, 05:14 PM  #5  
Newbie Joined: Sep 2009 Posts: 6 Thanks: 0  Re: Domain of sin function! Please help ! Quote:
 
September 19th, 2009, 05:15 PM  #6  
Senior Member Joined: Apr 2009 Posts: 201 Thanks: 0  Re: Domain of sin function! Please help ! Quote:
 
September 19th, 2009, 05:21 PM  #7 
Newbie Joined: Sep 2009 Posts: 6 Thanks: 0  Re: Domain of sin function! Please help !
Alright I got it, Thanks a bunch !!


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