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Manipal MET2013MathematicsInverse Trigonometric Functions

The value of 1 2 ⁻¹ ( 5 3 ) is

Options

  1. A3+ 5 2
  2. B3+ 5
  3. C1 2 (3- 5 )
  4. DNone of these

Correct answer

C. 1 2 (3- 5 )

Step-by-step solution

Let ⁻¹ ( 5 3 )= . then = 5 3 , where 0 2 . Now, 2 = 1- 1+ = 1- 5 / 3 1+ 5 / 3 = 3- 5 3+ 5 = (3- 5 )^2 9-5 = 1 2 (3- 5 )

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