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AP EAMCET202318 May 2023Morning ShiftMathematicsTrigonometric EquationsActual

1+ - 1+ + + 1+ + 1+ - =

Options

  1. A2
  2. B2 cosec
  3. C2
  4. D2

Correct answer

A. 2

Step-by-step solution

1+ - aligned & = ( 2 - 2 )^2+ ( ^2 2 - ^2 2 ) & = ( 2 - 2 ) ( 2 - 2 + 2 + 2 ) & =2 2 ( 2 - 2 ) aligned Similarly, 1+ + =2 2 ( 2 + 2 ) Now, 1+ - 1+ + + 1+ + 1+ - aligned & = 2 2 ( 2 - 2 ) 2 2 ( 2 + 2 ) + 2 2 ( 2 + 2 ) 2 2 ( 2 - 2 ) & = ( 2 - 2 )^2+ ( 2 + 2 )^2 ( 2 + 2 ) ( 2 - 2 ) aligned aligned & = 1- +1+ 2 = 2 2 & =2 2 aligned

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