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The function $\cos(x)$ is approximated using Taylor series around $x=0$ as $\cos(x) \approx 1 + ax + bx^2 + cx^3 + dx^4$. The values of  $a,b,c$ and $d$ are

  1. $a=1, \: b=-0.5,\:  c=-1, \: d=-0.25$
  2. $a=0, \: b=-0.5,\:  c=0, \: d=0.042$
  3. $a=0, \: b=0.5,\:  c=0, \: d=0.042$
  4. $a=-0.5, \: b=0,\:  c=0.042, \: d=0$
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