## Sin of arcsin x | arcsin of sin x

What is the sine of arcsine of x?

sin( arcsin *x* ) = ?

What is the arcsine of sine of x?

arcsin( sin *x* ) = ?

Since arcsin is the inverse function of sine, the sine of arcsine of x is equal to x:

sin( arcsin *x* ) = *x*

x has values from -1 to 1:

*x*∈[-1,1]

Since sine is periodic, the arcsine of sine of x is equal to x plus 2kπ when k is integer:

arcsin( sin *x* ) = *x+*2*k*π

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