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MHT CET202618 April 2026Evening ShiftMathematicsInverse Trigonometric FunctionsActual

^2( ⁻¹3) - ^2( ⁻¹3) =

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

C. 2

Step-by-step solution

Using the identity ^2 = 1 + ^2 , we get: ^2( ⁻¹ 3) = 1 + ^2( ⁻¹ 3) = 1 + (3)^2 = 10 Using the identity ^2 = ^2 - 1 , we get: ^2( ⁻¹ 3) = ^2( ⁻¹ 3) - 1 = (3)^2 - 1 = 8 Substituting these values into the given expression: ^2( ⁻¹ 3) - ^2( ⁻¹ 3) = 10 - 8 = 2

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