Answer: [0, pi].
- A [-pi/2, pi/2]
- B [0, pi]
- C (0, pi)
- D [-pi, 0]
Correct answer: B. [0, pi]
Explanation: cos-1 x has principal value branch [0, pi], with domain [-1,1].
The graph of sin⁻¹x is confined to a narrow domain [-1,1] (since sine itself only takes values in that range) and range [-π/2,π/2] (the principal value branch chosen to make sine one-one and invertible there).
Concept context
Restricting trig functions to make them invertible, the principal value branches of sin-inverse, cos-inverse, tan-inverse, and friends, and the key identities relating them.