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JEE Main2014MathematicsInverse Trigonometric FunctionsActual

The principal value of tan - 1 c o t 43 π 4 is

Options

  1. Aπ 4
  2. B- π 4
  3. C3 π 4
  4. D- 3 π 4

Correct answer

B. - π 4

Step-by-step solution

- π 2 < tan - 1 x < π 2 c o t 4 3 π 4 = c o t 1 0 π + 3 π 4 = c o t 3 π 4 = - 1 tan - 1 c o t 4 3 π 4 = tan - 1 - 1 = - π 4

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