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Math Help - Determing the Domain of a Trigonometric Function

  1. #1
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    Question Determing the Domain of a Trigonometric Function

    Hi,

    How do you determine the domain of a trigonometric function?
    For example:
    y = 4cos3(x+1)-3

    Thanks!
    Last edited by stouffie; July 19th 2009 at 06:23 PM. Reason: wrong equation
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  2. #2
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     x \in \mathbb{R} as the function is defined for all x
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  3. #3
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    Quote Originally Posted by pickslides View Post
     x \in \mathbb{R} as the function is defined for all x
    Thank you!
    Would the domain equal real numbers for most of these kinds of functions?
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  4. #4
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    Most of them. A function such as
    f(x) = \cos\left(\sqrt{x}\right)
    would have a domain of x \ge 0, and a function like
    f(x) = \cos\left(\frac{1}{x}\right)
    would have a domain of all reals except at x = 0.


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  5. #5
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    Quote Originally Posted by stouffie View Post
    Thank you!
    Would the domain equal real numbers for most of these kinds of functions?

    what Yeongil said!
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  6. #6
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    Quote Originally Posted by yeongil View Post
    Most of them. A function such as
    f(x) = \cos\left(\sqrt{x}\right)
    would have a domain of x \ge 0, and a function like
    f(x) = \cos\left(\frac{1}{x}\right)
    would have a domain of all reals except at x = 0.


    01
    thanks for your help!
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