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AP EAMCET201824 Apr 2018Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If x=- 1 2 , ⁻¹ x+ cosech ⁻¹ x=

Options

  1. A_e ( 7-3 5 2 )
  2. B₆ ( 3+ 5 2 )
  3. C_e [ ( 5 -1)(2+ 3 ) 2 ]
  4. D_e [ ( 5 +1)(2+ 3 ) 2 ]

Correct answer

A. _e ( 7-3 5 2 )

Step-by-step solution

aligned & Given, x=- 1 2 & & and ⁻¹ x= (x+ x^2+1 ) & ⁻¹ x+ cosech ⁻¹ x= ( 1 x + 1 x^2 +1 ) & = (x+ x^2+1 ) & = (- 1 2 + 1 4 +1 )+ (-2+ 1 x^2 +1 ) & = ( 4 +1) 2 )+ (-2+ 5 ) & = ( ( 5 -1) 2 ( 5 -2) ] ( 5 -2) & = ( 5-2 5 - 5 +2 2 )= ( 7-3 5 2 ) aligned

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