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NDA2012MathematicsInverse Trigonometric FunctionsActual

What is the value of ^2 ⁻¹ ( 5 11 ) ?

Options

  1. A121/96
  2. B217/921
  3. C146/121
  4. D267/121

Correct answer

B. 217/921

Step-by-step solution

aligned & ^2 ( ⁻¹ ( 5 11 ) ) & 1+ ^2 ( ⁻¹ ( 5 11 ) ) & 1+ [ ⁻¹ ( 5 11 )^2 ] & 1+ 25 121 121+25 121 = 146 121 . aligned

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