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

Question

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
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Solution 1

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 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve s

= 3𝜋/4 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help yo

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