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AP EAMCET202318 May 2023Evening ShiftMathematicsTrigonometric EquationsActual

If x= cosec , then coth 2 x 2 =

Options

  1. A^2 2
  2. B^2 ( 4 - 2 )
  3. C^2 2
  4. D^2 ( 4 - 2 )

Correct answer

D. ^2 ( 4 - 2 )

Step-by-step solution

aligned & Since h x= cosec & 1+ -h^2 x 2 1- ^2 x 2 = cosec 2 2 h^2 x 2 = cosec +1 cosec -1 & h^2 x 2 = 1+ 1- & coth ^2 x 2 = ( 2 + 2 )^2 ( ^2 2 - 2 )^2 = ( 2 +1 2 -1 )^2 aligned = ( 2 4 +1 2 - 4 )^2= ^2 ( 4 - 2 )

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