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Complex numbers from absolute value & angle

A complex number z1z_1 has a magnitude z1=20|z_1|=20 and an angle θ1=281\theta_1=281^{\circ}.
Express z1z_1 in rectangular form, as z1=a+biz_1=a+bi.
Round aa and bb to the nearest thousandth.
z1=z_1 =
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
+
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
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