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AP EAMCET202421 May 2024Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If x+ y= , x+ y= then cosec (x+y)=

Options

  1. A^2- ^2 ^2+ ^2
  2. B2 ^2- ^2
  3. C^2+ ^2 2
  4. D2 ^2+ ^2

Correct answer

C. ^2+ ^2 2

Step-by-step solution

aligned & Since x+ y= & 2 ( x+y 2 ) ( x-y 2 )= aligned Since, x+ y= aligned & 2 ( x+y 2 ) ( x-y 2 )= & ( x+y 2 )= (x+y)= 2 ( x+y 2 ) 1+ ^2 ( x+y 2 ) & = 2 1+ ^2 ^2 = 2 ^2+ ^2 cosec (x+y)= ^2+ ^2 2 aligned

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