hello(Happy)

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

(i only need hints(Wink) )

thanks a lot.

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- Jul 10th 2009, 09:54 AMRaohfind the expression
hello(Happy)

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

(i only need hints(Wink) )

thanks a lot. - Jul 10th 2009, 09:58 AMProve It
- Jul 10th 2009, 10:34 AMRaoh
thanks for your reply,but we only have $\displaystyle \forall x\in \left [ \frac{-\pi}{2},\frac{\pi}{2} \right ],Arcsin(sin(x)) = x$,am i right ?(Thinking)

- Jul 10th 2009, 11:02 AMProve It
- Jul 10th 2009, 11:11 AMRaoh
ok,thanks

for $\displaystyle x\in \mathbb{R}$ we have $\displaystyle Arcsin(sin(x)) = x$ - Aug 12th 2009, 02:27 AMpacman
**Raoh**, i have plotted its graph, any comments? just double click the graph and it will enlarge for better viewing