Answer: exactly π/2.
- A exactly π/2
- B exactly 0
- C exactly π
- D exactly 1
Correct answer: A. exactly π/2
Explanation: sin(π/2) = 1, so sin⁻¹(1) = π/2.
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.