If \alpha is a real root of the equation x^{3}+3 x+\tan 2=0 then the value of \tan ^{-1} \\alpha+\tan ^{-1} \frac{1}{\\alpha}+\frac{\\pi}{2} is equal to: [Use \\pi=3.14]

JEE Advanced 2021 Full Test 5 Paper 1

SECTION – C (Numerical Answer Type)
This section contains 06 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded‐off to the second decimal place; e.g. XXXXX.XX).

Question : 52 of 54

Marks: +1, -0

If alpha is a real root of the equation x3+3x+tan‌2=0 then the value of tan−1α+tan−1

is equal to: [Use π=3.14]

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