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AP EAMCET2007MathematicsInverse Trigonometric Functions

The value of x , where x>0 and ( ⁻¹ ( 1 x ) )= ( ⁻¹ 2 ) is

Options

  1. A5
  2. B5 3
  3. C1
  4. D2 / 3

Correct answer

B. 5 3

Step-by-step solution

Given, ( ⁻¹ ( 1 x ) )= ( ⁻¹ 2 ) array r ( ⁻¹ 1-x^2 x )= ( ⁻¹ 2 1+2^2 ) ( ⁻¹ x= ⁻¹ x 1+x^2 ) array aligned & & 1-x^2 x & = 2 5 & & 5 1-x^2 & =2 x & & 4 x^2 & =5 (1-x^2 ) & & x^2 & = 5 9 & & x & = 5 3 aligned

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