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Math Help - find the expression

  1. #1
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    Smile find the expression

    hello
    for x \in \mathbb{R} find an expression of Arcsin(sin(x)) without using trigonometric functions.
    (i only need hints )
    thanks a lot.
    Last edited by Raoh; July 10th 2009 at 01:23 PM. Reason: typo
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  2. #2
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    Quote Originally Posted by Raoh View Post
    hello
    \forall x \in \mathbb{R} find an expression of Arcsin(sin(x)) without using trigonometric functions.
    (i only need hints )
    thanks a lot.
    \arcsin{\sin{x}} = x + 2\pi n, n\in \mathbf{Z}.
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  3. #3
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    Smile

    thanks for your reply,but we only have \forall x\in \left [ \frac{-\pi}{2},\frac{\pi}{2} \right ],Arcsin(sin(x)) = x,am i right ?
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  4. #4
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    Quote Originally Posted by Raoh View Post
    thanks for your reply,but we only have \forall x\in \left [ \frac{-\pi}{2},\frac{\pi}{2} \right ],Arcsin(sin(x)) = x,am i right ?
    Yes
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  5. #5
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    Smile

    ok,thanks
    for x\in \mathbb{R} we have Arcsin(sin(x)) = x
    Last edited by Raoh; July 10th 2009 at 01:25 PM. Reason: Solved
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  6. #6
    Senior Member pacman's Avatar
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    Raoh, i have plotted its graph, any comments? just double click the graph and it will enlarge for better viewing
    Attached Thumbnails Attached Thumbnails find the expression-arc.gif   find the expression-arc-2.gif  
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