Radio signal intensity Refer to Exercise.(a) Determine the directions in which I has maxim...

Radio signal intensity Refer to Exercise.

(a) Determine the directions in which I has maximum or minimum values.

(b) Graph I on the interval [0, 2π). Graphically approximate 0 to three decimal places, when I is equal to . (Hint: Let I0 = 1.)

Radio signal intensity Radio stations often have more than one broadcasting tower because federal guidelines do not usually permit a radio station to broadcast its signal in all directions with equal power. Since radio waves can travel over long distances, it is important to control their directional patterns so that radio stations do not interfere with one another. Suppose that a radio station has two broadcasting towers located along a north-south line, as shown in the figure. If the radio station is broadcasting at a wavelength λ and the distance between the two radio towers is equal to , then the intensity I of the signal in the direction θ is given by

where I0 is the maximum intensity. Approximate I in terms of I0 for each θ.

EXERCISE

(a)θ = 0

(b) θ = π/3

(c) θ = π/7