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AP EAMCET202318 May 2023Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If two acute angles A and B are such that A B and x y = A B , then x A-y B x+y =

Options

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

Correct answer

A. ( A - B 2 )

Step-by-step solution

Given : x y = A B x A-y B x+y = x y A- B x y +1 = A B A- B A B +1 aligned & = A A- B B A+ B & = A- B A+ B aligned = 2 ( A - B 2 ) ( A + B 2 ) 2 ( A + B 2 ) ( A - B 2 ) x A-y B x+y = ( A-B 2 )

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