find the expression

**Raoh** · July 10th 2009, 09:54 AM

hello

for $x \in \mathbb{R}$ find an expression of $Arcsin(sin(x))$ without using trigonometric functions.
(i only need hints

)
thanks a lot.

**Prove It** · July 10th 2009, 09:58 AM

Originally Posted by Raoh

hello

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

)
thanks a lot.

$\arcsin{\sin{x}} = x + 2\pi n, n\in \mathbf{Z}$ .

**Raoh** · July 10th 2009, 10:34 AM

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 ?

**Prove It** · July 10th 2009, 11:02 AM

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 ?

Yes

**Raoh** · July 10th 2009, 11:11 AM

ok,thanks
for $x\in \mathbb{R}$ we have $Arcsin(sin(x)) = x$

**pacman** · August 12th 2009, 02:27 AM

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

Thread: find the expression