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KCET2007MathematicsInverse Trigonometric Functions

The value of [2 ⁻¹ 5 3 ] is

Options

  1. A5 3
  2. B2 5 3
  3. C4 5 9
  4. D2 5 9

Correct answer

C. 4 5 9

Step-by-step solution

We have, [2 ⁻¹ 5 3 ]= [ ⁻¹ (2 ( 5 3 )²-1 ) ] [ 2 ⁻¹ x= ⁻¹ (2 x²-1 ) ]= [ ⁻¹ ( 1 9 ) ]= [ ⁻¹ 1- ( 1 9 )² ] [ ⁻¹ x= ⁻¹ ( 1-x² ) ]= [ ⁻¹ 80 81 ] = 80 9 = 4 5 9

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