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COMEDK2019MathematicsInverse Trigonometric Functions

(2 ⁻¹ 63 65 ) is equal to

Options

  1. A2 126 65
  2. B4 65 65
  3. C8 63 65
  4. D63 65

Correct answer

A. 2 126 65

Step-by-step solution

We have, gathered (2 ⁻¹ 63 65 ) = ⁻¹ (2 63 65 1- ( 63 65 )² ) ; [ 2 ⁻¹ x= ⁻¹ 2 x 1-x² ] gathered = ⁻¹ (2 63 65 1- 63 65 ) = ⁻¹ (2 63 65 2 65 ) = ⁻¹ 2 126 65 = 2 126 65 [ ( ⁻¹ x )=x ]

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