Question

convert the equation to polar form. (use variables r and θ as needed.) x = 8

Explanation:

Step1: Recall polar coordinate conversion

We know that in polar coordinates, \( x = r\cos\theta \).

Step2: Substitute into the equation

Given the equation \( x = 8 \), substitute \( x = r\cos\theta \) into it. So we get \( r\cos\theta=8 \). Then, solve for \( r \) (if needed, but the polar form can be expressed as \( r\cos\theta = 8 \) or we can solve for \( r \) as \( r=\frac{8}{\cos\theta} \) (which can also be written as \( r = 8\sec\theta \) since \( \sec\theta=\frac{1}{\cos\theta} \)).

Answer:

\( r\cos\theta = 8 \) (or \( r = 8\sec\theta \))