The domain of f(x) = sin⁻¹([x]), where [x] denotes the greatest integer function, is: A. [-1, 1] B. [-1, 2) C. (-1, 2] D. [0, 1) Answer: B) [-1, 2) Explanation: For sin⁻¹(y), y must be in {-1, 0, 1} since it's an integer. So [x] = -1, 0, or 1. This means -1 ≤ x < 2, or [-1, 2).

imo class 12 inverse trigonometric functions

The domain of f(x) = sin⁻¹([x]), where [x] denotes the greatest integer function, is:

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The domain of f(x) = sin⁻¹([x]), where [x] denotes the greatest integer function, is:

Answer: B) [-1, 2)

Explanation: For sin⁻¹(y), y must be in {-1, 0, 1} since it's an integer. So [x] = -1, 0, or 1. This means -1 ≤ x < 2, or [-1, 2).