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The set of all values of k for which (tan –1 x) 3 + (cot –1 x) 3 = k π 3 , x ∈ R, is the interval :

1. ⎟ ⎠ ⎞ ⎢ ⎣ ⎡ 8 7 , 32 1
2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 16 13 , 24 1
3. ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 16 13 , 48 1
4. ⎟ ⎠ ⎞ ⎢ ⎣ ⎡ 8 9 , 32 1

Correct answer: ⎟ ⎠ ⎞ ⎢ ⎣ ⎡ 8 7 , 32 1

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