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BITSAT2024MathematicsInverse Trigonometric FunctionsActual

If ⁻¹ ( 1 2 )= ( ⁻¹ x ) , then the value of x is

Options

  1. A1 6
  2. B-1 12
  3. C2 6
  4. D-2 6

Correct answer

A. 1 6

Step-by-step solution

We have ( ⁻¹ ( 1 2 ) )= ( ⁻¹ x ) Let ⁻¹ ( 1 2 )= = 1 2 ⁻¹ 1 5 ( ⁻¹ 1 5 )= ( ⁻¹ x 1-x^2 ) 1 5 = x 1-x^2 1-x^2 = 5 x On squaring both sides, we get, 1-x^2=5 x^2 1=6 x^2 x= 1 6 array ll & x= 1 6 [neglecting - ve sign] array

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