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JEE Main202226 Jun 2022Morning ShiftMathematicsLimitsActual

lim x → 1 2 sin cos - 1 x - x 1 - tan cos - 1 x is equal to

Options

  1. A1 2
  2. B- 1 2
  3. C2
  4. D- 1

Correct answer

B. - 1 2

Step-by-step solution

Let cos − 1 x = t i.e. x = cos t So lim t → π 4 sin t − cos t 1 − tan t = lim t → π 4 − cos t = − 1 2

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