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MHT CET202617 April 2026Evening ShiftMathematicsInverse Trigonometric FunctionsActual

⁻¹ ( 4 3 ) + ⁻¹ ( 4 3 ) =

Options

  1. A4 3
  2. B8 3
  3. C3
  4. D3 2

Correct answer

C. 3

Step-by-step solution

The principal value branch of ⁻¹x is [0, ] . ⁻¹ ( 4 3 ) = ⁻¹ ( (2 - 2 3 ) ) = ⁻¹ ( 2 3 ) = 2 3 The principal value branch of ⁻¹x is [- 2 , 2 ] . ⁻¹ ( 4 3 ) = ⁻¹ ( ( + 3 ) ) = ⁻¹ (- 3 ) = ⁻¹ ( (- 3 ) ) = - 3 Adding the two values: 2 3 - 3 = 3 Answer: 3

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