Electric current is measured by a tangent galvanometer, where the current is proportional to the tangent of the angle $\theta$ of deflection. If the deflection is read as $45^{\circ}$ and an error of $1 \%$ is made in reading it, then the percentage error in the current is:

  • A
    $\pi \%$
  • B
    $\frac{\pi}{2} \%$
  • C
    $\frac{\pi}{3} \%$
  • D
    $\frac{\pi}{4} \%$

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