The value of cot(π/4 − 2 cot⁻¹3) is:
The value of cot(π/4 − 2 cot⁻¹3) is:
- A. 7
- B. −7
- C. 1/7
- D. −1/7
Answer: A) 7
Explanation: cot⁻¹3 = θ → cot θ = 3. cot 2θ = (cot²θ−1)/(2cotθ) = (9−1)/6 = 4/3. cot(π/4−2θ) = (cot π/4 cot 2θ + 1)/(cot 2θ − cot π/4) = (4/3 + 1)/(4/3 − 1) = 7.
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