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JEE Main2002MathematicsInverse Trigonometric FunctionsActual

⁻¹( )= ⁻¹( )=x , then x=

Options

  1. A^2 ( 2 )
  2. B^2 ( 2 )
  3. C( 2 )

Correct answer

A. ^2 ( 2 )

Step-by-step solution

⁻¹( )- ⁻¹( )=x ⁻¹ ( 1 )- ⁻¹( )=x ⁻¹ 1 - 1+ 1 =x ⁻¹ 1- 2 =x x= 1- 2 OR x= 2 1- or cosec x= 1+ 1- x= 1- 1+ = 1- (1-2 ^2 / 2 ) 1+2 ^2 / 2-1 or x= ^2 2

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