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