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JEE Main202120 Jul 2021Evening ShiftMathematicsInverse Trigonometric FunctionsActual

The value of tan 2 tan - 1 3 5 + sin - 1 5 13 is equal to:

Options

  1. A- 181 69
  2. B220 21
  3. C- 291 76
  4. D151 63

Correct answer

B. 220 21

Step-by-step solution

We have, tan 2 tan - 1 3 5 + sin - 1 5 13 = tan tan - 1 3 5 + tan - 1 3 5 + sin - 1 5 13 = tan tan - 1 3 5 + 3 5 1 - 9 25 + sin - 1 5 13 = tan tan - 1 15 8 + tan - 1 5 12 = tan - 1 15 8 + 5 12 1 - 15 8 · 5 12 = tan - 1 220 21 = tan tan - 1 220 21 = 220 21

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