Find a polar equation corresponding to the given rectangular equation. x = 2

Question

Quizplus · Accepted Answer

To convert a rectangular equation to polar, we use the following substitution: x = r cos(theta). 
Given x = 2, we have r cos(theta) = 2. 
Dividing by r, we get cos(theta) = 2/r. 
Using the identity cos(theta) = x/r, we have x/r = 2/r, which simplifies to x = 2. 
Since x = r cos(theta) represents a vertical line passing through x = 2, the polar equation will be a vertical line passing through theta = pi/2. 
Therefore, the correct answer is C, which is in the form r = constant and represents a vertical line passing through theta = pi/2.

Find a Polar Equation Corresponding to the Given Rectangular Equation