If $x=5(1-\sin t)$ and $y=5(t+\cos t)$, then $\frac{dx}{dy}=$

  • A
    $\frac{\sin t-1}{\cos t}$
  • B
    $\frac{\cos t}{\sin t-1}$
  • C
    $\tan \frac{t}{2}$
  • D
    $\frac{\cos(t/2)-\sin(t/2)}{\cos(t/2)+\sin(t/2)}$

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