find the expression

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July 10th 2009, 09:54 AM
Raoh

find the expression

hello(Happy)
for $x \in \mathbb{R}$ find an expression of $Arcsin(sin(x))$ without using trigonometric functions.
(i only need hints(Wink) )
thanks a lot.
July 10th 2009, 09:58 AM
Prove It

Quote:

Originally Posted by Raoh

hello(Happy)
$\forall x \in \mathbb{R}$ find an expression of $Arcsin(sin(x))$ without using trigonometric functions.
(i only need hints(Wink) )
thanks a lot.

$\arcsin{\sin{x}} = x + 2\pi n, n\in \mathbf{Z}$ .
July 10th 2009, 10:34 AM
Raoh

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 ?(Thinking)
July 10th 2009, 11:02 AM
Prove It

Quote:

Originally Posted by Raoh

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 ?(Thinking)

Yes
July 10th 2009, 11:11 AM
Raoh

ok,thanks
for $x\in \mathbb{R}$ we have $Arcsin(sin(x)) = x$
August 12th 2009, 02:27 AM
pacman

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Raoh, i have plotted its graph, any comments? just double click the graph and it will enlarge for better viewing

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