Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.)r = 𝜃3r = 3

Question

Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.)r = 𝜃3r = 3
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Solution 1

The given equations are in polar coordinates. The first equation is r = 𝜃/3 and the second equation is r = 3.

To find the points of intersection, we set the two equations equal to each other and solve for 𝜃:

𝜃/3 = 3 𝜃 = 9

Substitute 𝜃 = 9 into the first equation to find r:

r = 9/3 = 3

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