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AP EAMCET202123 Aug 2021Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

Determine the value of a in 70^ - 20^ =a 50^ ?

Options

  1. A-4
  2. B4
  3. C-2
  4. D2

Correct answer

D. 2

Step-by-step solution

70^ - 20^ =a 50^ 70^ 70^ - 20^ 20^ = a 50^ 50^ 70^ 20^ - 20^ 70^ 70^ 20^ = a 50^ 50^ [ (A-B)= A B- B A] (70^ -20^ ) 70^ 20^ = a 50^ 50^ 2 50^ 2 70 20^ = a 50^ 50^ [2 A B= (A+B)+ (A-B)] aligned & a 2 70^ 20^ =2 50^ & a 90^ + 50^ =2 50^ & a 50^ =2 50^ a=2 aligned

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