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AP EAMCET2011MathematicsInverse Trigonometric Functions

For 0 < x , ⁻¹( x) is equal to

Options

  1. A( x 2 )
  2. B( x 2 )
  3. C(1+ x)
  4. D(1+ x)

Correct answer

A. ( x 2 )

Step-by-step solution

We know that ⁻¹(y)= (y+ 1+y^2 ) Put y= x aligned ⁻¹( x) & = ( x+ 1+ ^2 x ) & = ( x+ cosec ^2 x ) & = ( x+ cosec x) & = ( 1+ x x ) aligned aligned & = ( 2 ^2 x / 2 2 x / 2 x / 2 ) & = ( x / 2) aligned

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