exercise:F752e96684

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• For each of the following values of [math]\theta[/math], find the value of [math]r[/math] such that [math]r = 2(1+\cos \theta)[/math]:
  [[math]] \theta = 0, \frac\pi4, \frac\pi3, \frac\pi2, \frac{2\pi}3, \frac{5\pi}6, \pi . [[/math]]
• Plot the seven points with the polar coordinates [math](r,\theta)[/math], found in part (a).
• What symmetry property is possessed by the curve defined by the equation [math]r=2(1+\cos\theta)[/math] in polar coordinates?
• Draw the curve in part (c).