Question

Which function has a range of (−90°, 90°)?

A) f(x) = sin−1(x)
B) f(x) = cos−1(x)
C) f(x) = tan−1(x)
D) f(x) = sec−1(x)

A is the answer.

Answer 1

Yes you are right because only sin⁻¹(x) is Bijective in the given range.
Option A is correct