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NDA2015MathematicsInverse Trigonometric FunctionsActual

The value of (2 ⁻¹ 1 5 - 4 ) is

Options

  1. A- 7 17
  2. B5/16
  3. C5/4
  4. D7 17

Correct answer

A. - 7 17

Step-by-step solution

aligned & 2 ⁻¹ ( 1 5 )= ⁻¹ [ 2 1 5 1- ( 1 5 )^2 ] & = ⁻¹ [ 10 24 ] & = ⁻¹ ( 5 12 ) & Let (2 ⁻¹ 1 5 - 4 )= x & [ ⁻¹ ( 5 12 )- 4 ]= x & ⁻¹ ( 5 12 )- 4 = ⁻¹ x & ⁻¹ ( 5 12 )- ⁻¹(1)= ⁻¹ x & ⁻¹ [ ( 5 12 -1 ) 1+ ( 5 12 )(1) ]= ⁻¹ x & x = -7 / 12 17 / 12 =-7 / 17 aligned

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