Answer: π.
- A π/2
- B π
- C 3π/4
- D 2π
Correct answer: B. π
Explanation: This is a classic identity: the three inverse tangents sum to 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.