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+2kπ

 

Arcsin function ►

 


See also

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