Final answer:
To find the angle(s) between the polar axis and the asymptotes of the given equation in polar form, convert the equation to rectangular form and determine the slopes of the asymptotes.
Step-by-step explanation:
The equation given is in polar form. To find the angle(s) between the polar axis and the asymptotes, we need to express the equation in rectangular form and determine the slopes of the asymptotes. Let's start by converting the equation from polar to rectangular form.
To convert the equation, we can use the identity x = r * cos(θ) and y = r * sin(θ). Substituting these values into the equation, we have:
x = ed * cos(θ) / (1 - e * cos(θ))
y = ed * sin(θ) / (1 - e * cos(θ))
Now, we can find the slopes of the asymptotes by taking the limit as θ approaches ±∞. This gives us the equations:
y = mx + c
where m is the slope and c is the intercept.
By finding the values of m using the limit as θ approaches ±∞, we can determine the angle(s) between the polar axis and the asymptotes.