The range of f(x) = sin⁻¹x + cos⁻¹x is:
The range of f(x) = sin⁻¹x + cos⁻¹x is:
- A. [−π/2, π/2]
- B. [0, π]
- C. {π/2}
- D. [−π, π]
Answer: C) {π/2}
Explanation: For any x ∈ [−1, 1], sin⁻¹x + cos⁻¹x = π/2. Since the domain of both functions is [−1, 1], the range of their sum is the single value π/2, i.e., {π/2}.
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