Inverse of trig functions domain and range only

Question 1

y=arcsinx dom and range

Answer 1

XE [-1, 1] YE [-pi/2, pi/2]

Question 2

y=arccosx

Answer 2

XE [-1, 1] YE [0, pi]

Question 3

y=arctanx

Answer 3

XEIR YE ]-pi/2, pi/2[

Question 4

y=arccotx

Answer 4

XEIR YE ]0, pi[

Question 5

y=arcsecx

Answer 5

XE ]-INF, -1] U [1, +INF[

YE [0, pi/2[ U [pi, 3pi/4[

Question 6

y=arccscx

Answer 6

XE ]-INF, -1] U [1, +INF[

YE ]0, pi/2] U ]pi, 3pi/4]