imo class 12 inverse trigonometric functions

If tan⁻¹x = sin⁻¹(1/√2), then x equals:

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If tan⁻¹x = sin⁻¹(1/√2), then x equals:

  • A. 1
  • B. √2
  • C. 1/√2
  • D. √3

Answer: A) 1

Explanation: sin⁻¹(1/√2) = π/4. So tan⁻¹x = π/4 → x = tan(π/4) = 1.

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