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!!
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 $\displaystyle f(-x)=f(x)$. 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, $\displaystyle Arcsin(-y) = -Arcsin(y)$