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AP EAMCET2013MathematicsInverse Trigonometric Functions

⁻¹ ( 1 2 )+ coth ⁻¹(2) is equal to

Options

  1. A1 2 3
  2. B1 2 6
  3. C1 2 12
  4. D3

Correct answer

D. 3

Step-by-step solution

aligned & ⁻¹ ( 1 2 )+ coth ⁻¹(2) & ⁻¹ ( 1 2 )+ ⁻¹ ( 1 2 ) & 2 ⁻¹ ( 1 2 ) ( 1+ 1 2 1- 1 2 ) [ ⁻¹ x= 1 2 ( 1+x 1-x ) ] & 2 1 2 ( ⁻¹(1 / x) ] & = ( 3 2 2 2 )= 3 aligned

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