Solve the problem.
-Suppose that a radio transmission pattern can be modeled by $r ^ { 2 } = 3600 \cos 2 \theta$, for $0 ^ { \circ } \leq \theta \leq 360 ^ { \circ }$, where the units are miles. Determine how far the signal reaches to the east, assuming that east is represented by the direction of the positive $x$-axis.
A) 3600 miles
B) 7200 miles
C) 60 miles
D) 120 miles

Question

Quizplus · Accepted Answer

The equation $r^2 = 3600 \cos 2\theta$ represents a limaçon. To find the maximum distance to the east, set $\theta = 0^\circ$ (east direction), giving $r^2 = 3600$, so $r = 60$ miles.

Solve the Problem r2=3600cos⁡2θr ^ { 2 } = 3600 \cos 2 \thetar2=3600cos2θ

Solve the Problem $r ^ { 2 } = 3600 \cos 2 \theta$