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MHT CET202615 April 2026Evening ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ⁻¹ ( ( 19 4 ) - 1 ( 4 ) ) is equal to

Options

  1. A- 4
  2. B- 5 12
  3. C- 3 8
  4. D- 4 9

Correct answer

C. - 3 8

Step-by-step solution

( 19 4 ) = (4 + 3 4 ) = ( 3 4 ) = - 1 2 ( 4 ) = 1 2 Substituting these values into the given expression: ⁻¹ ( - 1 2 - 1 1 2 ) = ⁻¹ ( -1 - 2 1 ) = ⁻¹(-( 2 + 1)) Using the property ⁻¹(-x) = - ⁻¹(x) : - ⁻¹( 2 + 1) Since ( 3 8 ) = 2 + 1 , we get: - ⁻¹ ( ( 3 8 ) ) = - 3 8 Answer: - 3 8

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