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Math Help - Standard Domain Restrictions on Cos(x)?

  1. #1
    KinXen
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    Standard Domain Restrictions on Cos(x)?

    What is the standard domain restriction we put onto f(x)=cos(x) so that it is a one-to-one function?
    I am having the toughest time trying to understand what the question is asking in the first place. I am either assuming its one period of cos(x), or the upper/lower half of a circle. Any ideas?
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by KinXen View Post
    I am having the toughest time trying to understand what the question is asking in the first place. I am either assuming its one period of cos(x), or the upper/lower half of a circle. Any ideas?
    For a function to be 1 to 1 there can only be one y for every x. As indicated on the graph below the simplest thing to do is to restrict the domain to (0, \pi ).

    -Dan
    Attached Thumbnails Attached Thumbnails Standard Domain Restrictions on Cos(x)?-cosine.jpg  
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