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AP EAMCET202418 May 2024Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

By considering 1^ =0.0175 , the approximate value of 45^ 2^ is

Options

  1. A1.07
  2. B0.965
  3. C1.035
  4. D0.93

Correct answer

D. 0.93

Step-by-step solution

Let f(x)= x Since 1^ =0.0175 2^ =0.035 Now, f^ (x)=- cosec ^2 x By approximation, we get aligned & f(a+h)=f(a)+h f^ (a) & f (45^ +2^ )=f (45^ )+2^ f^ (45^ ) & = (45^ )-2^ cosec ^2 (45^ ) aligned aligned & =1-0.035 2=1-0.07 & (45^ 2^ )=0.93 aligned

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