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JEE Main20258 Apr 2025Evening ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ⁻¹ ( 1+ ^2(2) -1 (2) )- ⁻¹ ( 1+ ^2 ( 1 2 ) +1 ( 1 2 ) ) is equal to

Options

  1. A- 5 4
  2. B- 3 2
  3. C+ 3 2
  4. D+ 5 2

Correct answer

A. - 5 4

Step-by-step solution

⁻¹ ( | 2|-1 2 )- ⁻¹ ( | 1 2 |+1 1 2 ) aligned & = ⁻¹ ( -1- 2 2 )- ⁻¹ ( 1+ 1 2 1 2 ) & = - ⁻¹( 1)- ⁻¹ ( 1 4 ) & = -1- 1 4 = - 5 4 aligned

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