The value of sin(2 cot⁻¹(−5/12)) is:

The value of sin(2 cot⁻¹(−5/12)) is:

• A. −120/169
• B. 120/169
• C. −5/13
• D. 5/13

Answer: A) −120/169

Explanation: Let cot⁻¹(−5/12) = θ. cot θ = −5/12, so it's in quadrant II. sin θ = 12/13, cos θ = −5/13. sin 2θ = 2 sin θ cos θ = 2(12/13)(−5/13) = −120/169.