Answer: [0, π].
- A [0, π]
- B [−π/2, π/2]
- C [−π, π]
- D [0, 2π]
Correct answer: A. [0, π]
Explanation: The principal branch of arccosine is [0, π].
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.