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AP EAMCET202315 May 2023Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

1 290^ + 1 3 250^ =

Options

  1. A3 4
  2. B4 3
  3. C2 3
  4. D3 2

Correct answer

B. 4 3

Step-by-step solution

aligned & Since 1 290^ + 1 3 250^ & = 1 (270+20^ ) + 1 3 (270-20^ ) aligned aligned & = 1 20^ - 1 3 20^ = 2 ( 3 2 20^ - 1 2 20^ ) 3 2 40^ & = 2 (60^ -20^ ) 3 2 40^ = 4 3 aligned

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