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AP EAMCET2001MathematicsInverse Trigonometric Functions

h ⁻¹ ( x 1-x^2 ) is equal to

Options

  1. Acoth ⁻¹ x
  2. Bh⁻¹ x
  3. C- ⁻¹ x
  4. Dh ⁻¹ x

Correct answer

D. h ⁻¹ x

Step-by-step solution

We have, aligned & h ⁻¹ ( x 1-x^2 )= & x 1-x^2 = aligned aligned & Now, ^2 =1+ ^2 & =1+ x^2 1-x^2 = 1 1-x^2 & = 1 1-x^2 & h = h =x & = h ⁻¹ x & h ⁻¹ ( x 1-x^2 )= ⁻¹ x & aligned

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