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MHT CET202211 Aug 2022Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ( ⁻¹ ( ( ⁻¹ x ) ) ) is

Options

  1. Ax^2+1 x^2-1
  2. B1-x^2 2+x^2
  3. C1-x^2 1+x^2
  4. Dx^2+1 x^2+2

Correct answer

D. x^2+1 x^2+2

Step-by-step solution

aligned & ( ⁻¹ ( ( ⁻¹ x ) ) )= ( ⁻¹ ( ( ⁻¹ 1 1+x^2 ) ) ) & = ( ⁻¹ 1 1+x^2 )= coscos ⁻¹ 1+x^2 2+x^2 = x^2+1 x^2+2 aligned

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