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JEE Main2012MathematicsInverse Trigonometric FunctionsActual

A value of ⁻¹ ( ( ⁻¹ ( 2 3 ) ) ) is

Options

  1. A4
  2. B2
  3. C3
  4. D6

Correct answer

D. 6

Step-by-step solution

Consider ⁻¹ [ ( ⁻¹ 2 3 ) ] aligned & Let ⁻¹ 2 3 = = 2 3 & = 1- ^2 = 1- 2 3 = 1 3 & ⁻¹ [ ( ⁻¹ 2 3 ) ]= ⁻¹[ ] & = ⁻¹ [ 1 3 ]= ⁻¹ ( 1 3 ) & = 6 aligned

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