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!!

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- Oct 23rd 2009, 01:09 PMalexandrabel90arcsin 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!! - Oct 23rd 2009, 01:36 PMadkinsjr
An even function is a function such that $\displaystyle f(-x)=f(x)$. For example, a parabola $\displaystyle y=x^2$ is an even function since: $\displaystyle f(-x)=(-x)^2=x^2=f(x)$

An odd function is on in which $\displaystyle f(-x)=-f(x)$

Since the sine funciton is odd, the arcsine function is also odd. Therefore, $\displaystyle Arcsin(-y) = -Arcsin(y)$ - Oct 23rd 2009, 02:45 PMalexandrabel90
and what about for arccos?

- Oct 23rd 2009, 03:53 PMDefunkt