How do you evaluate arcsin 1?

1 Answer
Sep 7, 2015

arcsin(1) = pi/2

Explanation:

arcsin is defined as having a range restricted to [-pi/2,+pi/2]

If arcsin(1) = theta color(white)("XX")rarrcolor(white)("XX")sin(theta)=1

That is for theta in [-pi/2,+pi/2] with a unit circle, the ratio of the opposite side (y-coordinate) to the hypotenuse must be =1

The only angle meeting this requirement is theta= pi/2