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NTA Abhyas JEE Main2020MathematicsInverse Trigonometric FunctionsPractice

If c o t - 1 n 2 π > 2 π 3 , then the maximum value of the integer n is

Options

  1. A3
  2. B4
  3. C- 4
  4. D- 3

Correct answer

C. - 4

Step-by-step solution

We have, 2 π 3 < c o t - 1 n 2 π < π &#8658; c o t 2 π 3 > n 2 π > - ∞ &#8658; - 1 3 > n 2 π > - ∞ &#8658; - 2 π 3 > n > - ∞ Maximum value of n is - 4

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