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Math Help - Inverse domain

  1. #1
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    Inverse domain

    The implied domain of y = Cos-1(sin3x)

    Solution:
    The < and > represent greater than equal to or less than equal to (i dont no what key to press to get them)

    -1 < sin3x < 1

    sin3x = 1
    3x = pie/2
    x = pie/6

    Therefor [-pie/6, pie/6]
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  2. #2
    o_O
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    You know that the domain for y = \cos^{-1} (x) is [-1, 1].

    As you noted, \sin 3x \in [-1,1] for all x values. Since for every x, sin 3x will produce a number between -1 and 1 and y=\cos^{-1} x is defined for all these numbers, can you say what the domain is?
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