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MHT CET202619 April 2026Evening ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ⁻¹ ( 5 6 ) + ⁻¹ ( 7 6 ) + ⁻¹ ( 2 3 ) is equal to...

Options

  1. A2 3
  2. B4 3
  3. C5 3

Correct answer

A. 2 3

Step-by-step solution

The principal value branch of ⁻¹x is [- 2 , 2 ] . ⁻¹ ( 5 6 ) = ⁻¹ ( ( - 6 ) ) = ⁻¹ ( 6 ) = 6 The principal value branch of ⁻¹x is [0, ] . ⁻¹ ( 7 6 ) = ⁻¹ ( (2 - 5 6 ) ) = ⁻¹ ( 5 6 ) = 5 6 The principal value branch of ⁻¹x is (- 2 , 2 ) . ⁻¹ ( 2 3 ) = ⁻¹ ( ( - 3 ) ) = ⁻¹ (- 3 ) = ⁻¹ ( (- 3 ) ) = - 3 Adding the three values: 6 + 5 6 - 3 = - 3 = 2 3 Answer: 2 3

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