Given That the Polar Equation R Models the Orbits of the Planets

Multiple Choice

Given that the polar equation r models the orbits of the planets about the sun,
-Suppose that a radio signal transmission pattern can be modeled by $$\mathrm { r } ^ { 2 } = \mathrm { k } \cos 2 \theta \text {, for } 0 ^ { \circ } \leq \theta \leq 360 ^ { \circ } ,$$ where the units are in miles. Describe the influence of k on the pattern. Assume that the positive x-axis points east.

A) With increasing k, the distance of transmission becomes smaller in the east and west directions.
B) With increasing k, the transmission becomes more strongly directed toward the east and less strongly directed to the west.
C) With increasing k, the distance of transmission becomes greater in the east and west directions.
D) With increasing k, the transmission becomes more strongly directed toward the north and less strongly directed to the east.