Answer: [-pi/2, pi/2].
- A [0, pi]
- B [-pi/2, pi/2]
- C (-pi/2, pi/2)
- D [-pi, pi]
Correct answer: B. [-pi/2, pi/2]
Explanation: sin-1 x has principal value branch [-pi/2, pi/2], 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.