The principal value of cosec⁻¹(−√2) is:
The principal value of cosec⁻¹(−√2) is:
- A. −π/4
- B. π/4
- C. 3π/4
- D. −3π/4
Answer: A) −π/4
Explanation: cosec⁻¹(−x) = −cosec⁻¹(x). cosec⁻¹(√2) = π/4. So cosec⁻¹(−√2) = −π/4. This lies in [−π/2, π/2] − {0}, the principal branch.
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