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BITSAT2014MathematicsInverse Trigonometric FunctionsActual

Find the value of [2 ⁻¹ 1 5 - 4 ]

Options

  1. A-1 / 3
  2. B-7 / 17
  3. C-1 / 2
  4. D-1 / 4

Correct answer

B. -7 / 17

Step-by-step solution

aligned & 2 ⁻¹ 1 5 = ⁻¹ 1 5 + ⁻¹ 1 5 &= ⁻¹ 1 5 + 1 5 1- 1 5 1 5 = ⁻¹ 2 / 5 24 / 25 = ⁻¹ 5 12 &= (2 ⁻¹ 1 5 - 4 )= ( ⁻¹ 5 12 - 4 ) &= ( ⁻¹ 5 12 )- 4 1+ ( ⁻¹ 5 12 ) 4 = - 7 12 17 12 =- 7 17 aligned

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