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JEE Main202225 Jun 2022Evening ShiftMathematicsInverse Trigonometric FunctionsActual

The value of tan - 1 cos 15 π 4 - 1 sin π 4 is equal to

Options

  1. A- π 4
  2. B- π 8
  3. C- 5 π 12
  4. D- 4 π 9

Correct answer

B. - π 8

Step-by-step solution

Given, tan - 1 cos 15 π 4 - 1 sin π 4 = tan - 1 cos 4 π - π 4 - 1 sin π 4 = tan - 1 1 2 - 1 1 2 = tan - 1 1 - 2   = - tan - 1 2 - 1 = - π 8

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