csc−1(−2)=−π/6 since csc(−π/6)=−2 and −π/6 is in principal range. sec−1(−2)=2π/3 since sec(2π/3)=−2. So expression =−π/6−2(2π/3)=−π/6−4π/3=−9π/6=−3π/2.
The value of cosec^-1(-2) - 2sec^-1(-2) is equal to:
CUET UG 2022 — Mathematics Geometry
2022mcqmedium
The value of cosec−1(−2)−2sec−1(−2) is equal to:
Official previous-year question
Held on 16 Jul 2022 · Verified 13 Jul 2026.
Options
- A
6−π
- B
32π
- C
23π
- D
2−3π
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