The value of 2 tan⁻¹(1/3) is:
The value of 2 tan⁻¹(1/3) is:
- A. tan⁻¹(2/3)
- B. tan⁻¹(3/4)
- C. tan⁻¹(4/3)
- D. tan⁻¹(1/9)
Answer: B) tan⁻¹(3/4)
Explanation: Using 2 tan⁻¹(x) = tan⁻¹(2x / (1−x²)). tan⁻¹( (2/3) / (1 − 1/9) ) = tan⁻¹( (2/3) / (8/9) ) = tan⁻¹(3/4).
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