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Thread: How many right inverses can you find?

  1. December 28th 2010, 02:39 AM #1
    FGT12
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    How many right inverses can you find?

    Let \mathbb{R} \rightarrow [-1,1] be defined by f(x) = sin x. How many distinct right inverses can you find?

    I am lost as to where to start
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  2. December 28th 2010, 02:50 AM #2
    emakarov
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    This question has already been asked, and I think a good hint has been given. Why don't you post your thoughts about it?
    g(x) = \sin^{-1}(x) is one solution. What about g(x) = \sin^{-1}(x) + 2\pi?
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