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MHT CET202523 Apr 2025Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ^2 ( ⁻¹ 4 )+ ^2 ( cosec ⁻¹ 3 ) is

Options

  1. A15
  2. B25
  3. C23
  4. D7

Correct answer

C. 23

Step-by-step solution

Evaluate E = ^2( ⁻¹ 4) + ^2( ⁻¹ 3) . Let = ⁻¹ 4 , so = 4 . Using ^2 = ^2 - 1 , we find ^2( ⁻¹ 4) = 4^2 - 1 = 15 . Let = ⁻¹ 3 , so = 3 . Using ^2 = ^2 - 1 , we obtain ^2( ⁻¹ 3) = 3^2 - 1 = 8 . Therefore, E = 15 + 8 = 23 . Final answer: 23

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