Question

Which inverse trigonometric function has a range of [0,pi]?

a. y=cos^-1(x)
b. y=cot^-1(x)
c. y=csc^-1(x)
d. y=sin^-1(x)

I am not fully understanding this question. If someone could help me that would be great!

Answer 1

the inverse of cosecant is sine , which is continuous from zero to π

the others are undefined at some point over the range

Answer 2

since cos(x) goes from cos(0)=1 to cos(pi) = -1 the domain of arccos(x) is [0,pi]
The others either get undefined or repeat their range values