Inverse Trig Question (1 Viewer)

[StudyOnly]

Hey everyone, I can't seem to find the range, but can find the domain (-1 <= x <= 1)

Consider the function y = sin(cos^-1x)
(i) Find the domain and range of the function.

Thanks for the help!

 

[Drongoski]

y = sin(something)

Since -1 <= x <= 1, the inverse cos can take the range of angles from 0 to 180 deg. So the sin can take all the values from 0 to 1.

So range is: 0 <= y <= 1