For what values of x is arcsin(sin x) = x?

This is for a calculus class. I'm kind of confused.

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- Mar 8th 2011, 08:23 AMMush89arcsin(sin x) = x
For what values of x is arcsin(sin x) = x?

This is for a calculus class. I'm kind of confused. - Mar 8th 2011, 08:33 AMPlato
- Mar 8th 2011, 11:54 AMSoroban
Hello, Mush89!

Quote:

Interesting question!

Since always returns the*principal*__value__

. . I would say: .

For other angles, say, ,

. . we have: .

. . then: .

That is: .