Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.)r = 8 + 8 cos(𝜃)r = 8 − 8 sin(𝜃)r ≥ 0, 0 ≤ 𝜃 < 2𝜋

To find the points of intersection of the two polar equations, we need to set them equal to each other and solve for 𝜃.

So, we have:

8 + 8 cos(𝜃) = 8 - 8 sin(𝜃)

Rearranging the equation gives:

8 cos(𝜃) + 8 sin(𝜃) = 0

Dividing by 8:

cos(𝜃) + sin(𝜃) = 0

This equation is satisfied when 𝜃 = 3𝜋/4 and 𝜃 = 7𝜋/4.

Substituting 𝜃 = 3𝜋/4 into the first equation gives:

r = 8 + 8 cos(3𝜋/4) = 8 - 8 sqrt(2)/2 = 8 - 4 sqrt(2)

Substituting 𝜃 = 7𝜋/4 into the first equation gives:

r = 8 + 8 cos(7𝜋/4) = 8 + 8 sqrt(2)/2 = 8 + 4 sqrt(2)

So, the points of intersection are (8 - 4 sqrt(2), 3𝜋/4) and (8 + 4 sqrt(2), 7𝜋/4).