Thread: arcsin and arccos

why is it that arcsin(-y) = -arcsin(y) and that arccos(-y) = π (pi) - arccos(y)?

also, what does the above 2 equations have anything to do with even and odd functions? i have no idea what is even and odd functions by the way..

thank you!!

Originally Posted by alexandrabel90

why is it that arcsin(-y) = -arcsin(y) and that arccos(-y) = π (pi) - arccos(y)?

also, what does the above 2 equations have anything to do with even and odd functions? i have no idea what is even and odd functions by the way..

thank you!!

An even function is a function such that . For example, a parabola is an even function since:

An odd function is on in which

Since the sine funciton is odd, the arcsine function is also odd. Therefore,

and what about for arccos?

Originally Posted by alexandrabel90

and what about for arccos?

is even.