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MHT CET202617 April 2026Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The value of 3 ⁻¹ ( 1 2 ) =

Options

  1. A⁻¹ ( 5 2 )
  2. B⁻¹ ( 2 5 )
  3. C⁻¹ ( 11 2 )
  4. D⁻¹ ( 11 2 )

Correct answer

D. ⁻¹ ( 11 2 )

Step-by-step solution

Using the formula 3 ⁻¹x = ⁻¹ ( 3x - x^3 1 - 3x^2 ) for |x| Since x = 1 2 3 ⁻¹ ( 1 2 ) = ⁻¹ ( 3 ( 1 2 ) - ( 1 2 )^3 1 - 3 ( 1 2 )^2 ) = ⁻¹ ( 3 2 - 1 8 1 - 3 4 ) = ⁻¹ ( 12 - 1 8 4 - 3 4 ) = ⁻¹ ( 11 8 1 4 ) = ⁻¹ ( 11 8 4 ) = ⁻¹ ( 11 2 ) Answer: ⁻¹ ( 11 2 )

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