Trigonometry- Suppose that a comet travels in a parabolic orbit with the Sun

QUESTION

Suppose that a comet travels in a parabolic orbit with the Sun as its focus. Position a polar coordinatesystem with the pole at the Sun and the axis of the orbit perpendicular to the polar axis. When thecomet is 100 million kilometers from the sun, the segment of the coment to the Sun makes the angleπ/4. Find a polar equation of the orbit, assuming that the directrix lies above the pole.

ANSWER:

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