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Math Help - Domain of a function (analytical method)

  1. #1
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    Domain of a function (analytical method)

    Hello,


    I have this problem :
    Find the Domain of g(x) = sinX


    I can find the answer by graphic analyse :
    Domain of g(x) =Reals {[2K π, 2K π + π] : K belongs a Woles Numbers}


    But I dont know do it by analitical method.
    Can someone show me the methode to resolve this exercice without graphic helps?

    Thanks
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  2. #2
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    Quote Originally Posted by AlanaSan View Post
    Hello,


    I have this problem :
    Find the Domain of g(x) = sinX


    I can find the answer by graphic analyse :
    Domain of g(x) =Reals {[2K π, 2K π + π] : K belongs a Woles Numbers}


    But I dont know do it by analitical method.
    Can someone show me the methode to resolve this exercice without graphic helps?

    Thanks

    The ony way I can see, and the easiest one, is by knowing:

    1) that the real square root function has to have a non-negative argument, and

    2) knowing the trigonometric functions, in this case the sine function.

    And then you get at once the domain you got...

    Tonio
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