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AP EAMCET202317 May 2023Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

16^ 44^ + 44^ 76^ - 76^ 16^ =

Options

  1. A1
  2. B-1
  3. C-3
  4. D3

Correct answer

D. 3

Step-by-step solution

16^ 44^ + 44^ 76^ - 76^ 16^ aligned & = 16^ 44^ 16^ 44^ +1-1+ 44^ 76^ 44^ 76^ +1-1 & - 76^ 16^ 76^ 16^ +1-1 & = 16^ 44^ - 16^ 44^ 16^ 44^ & + 44^ 76^ - 44^ 76^ 44^ 76^ & - 76^ 16^ - 76^ 16^ 76^ 16^ +3 & = (44^ +16^ ) 16^ 44^ + (44^ +76^ ) 76^ 44^ - (-16^ +76^ ) 76^ 16^ +3 & = 1 2 44^ 16^ - 1 2 44^ 76^ - 1 2 76^ 16^ +3 & = 76^ - 16^ 2 44^ 76^ 16^ - 1 2 76^ 16^ +3 & = 2 30^ 46^ 2 (90-44) 76^ 16^ - 1 2 76^ 16^ +3 & = 1 2 76^ 16^ - 1 2 76^ 16^ +3=3 & aligned

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