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KCET2018MathematicsInverse Trigonometric Functions

If ( ⁻¹ x+ ⁻¹ y= 2 5 ), then ( ⁻¹ x+ ⁻¹ y ) is

Options

  1. A( 2 5 )
  2. B( 3 5 )
  3. C( 4 5 )
  4. D( 3 10 )

Correct answer

B. ( 3 5 )

Step-by-step solution

Given that, ( ⁻¹ x+ ⁻¹ y= 2 5 (1) ) We know that, ( ⁻¹ x+ ⁻¹ x= I 2 (2) ) From Eqs. (1) and (2), we have [ array l 2 - ⁻¹ x+ 2 - ⁻¹ y= 2 5 ⁻¹ x+ ⁻¹ y= - 2 5 = 3 5 array ]

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