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JEE Main202125 Feb 2021Evening ShiftMathematicsInverse Trigonometric FunctionsActual

cosec 2 cot - 1 5 + cos - 1 4 5 is equal to:

Options

  1. A65 56
  2. B75 56
  3. C65 33
  4. D56 33

Correct answer

A. 65 56

Step-by-step solution

Given, cosec 2 tan - 1 1 5 + tan - 1 3 4 = cosec tan - 1 2 × 1 5 1 - 1 25 + tan - 1 3 4 = cosec tan - 1 5 12 + tan - 1 3 4 = cosec tan - 1 5 12 + 3 4 1 - 5 12 × 3 4 = cosec tan - 1 56 33 = 65 56 option 1

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