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NCERT Class 12 · Ch 2 Exercise 2.1 · Q13

NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Exercise 2.1 Question 13

If sin⁻¹x=y, which interval must contain y?

💡 Concept Hints

  1. Recall the principal range of the inverse function before simplifying.
  2. Find an angle with the required trigonometric value, then verify it belongs to the principal range.

✅ Step-by-Step Solution

Final Answer: B: [−π/2,π/2].
  1. The principal sine inverse is defined on [−1,1] with range [−π/2,π/2].
  2. Both endpoints are attained, so choose the closed interval in B.

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