imo class 12 inverse trigonometric functions

The principal value of cosec⁻¹(−√2) is:

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The principal value of cosec⁻¹(−√2) is:

  • A. −π/4
  • B. 3π/4
  • C. π/4
  • D. −3π/4

Answer: A) −π/4

Explanation: cosec⁻¹(−x) = −cosec⁻¹(x) = −π/4, which lies in [−π/2, π/2] excluding 0.

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