Range of cot−1 is (0,π). We need angle in this range with cotθ=−1/3. Now cot(2π/3)=cos(2π/3)/sin(2π/3)=(−1/2)/(3/2)=−1/3. So cot−1(−1/3)=2π/3.
The principal value of cot−1(−31)
Held on 23 May 2023 · Verified 13 Jul 2026.
3π
−6π
31
32π
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