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COMEDK202510 May 2025Evening ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ⁻¹ ( 7 6 ) is

Options

  1. A6
  2. B5 6
  3. C7 6
  4. D3

Correct answer

A. 6

Step-by-step solution

The range of the principal value branch of ⁻¹(x) is (- 2 , 2 ) . Given the expression ⁻¹( 7 6 ) , we first simplify the argument of the inverse tangent function. Since ( + ) = , we have 7 6 = ( + 6 ) = 6 . Substituting this back into the expression, we get ⁻¹( 6 ) . Since 6 lies within the principal value branch (- 2 , 2 ) , the expression simplifies to 6 . Answer: 6

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