Question

Rewrite in polar form: x = 12.
(1 point)
Responses

r = 12 cos θ
r = 12 cos θ

r = 12 sin θ
r = 12 sin θ

r = 12 sec θ
r = 12 sec θ

r = 12 csc θ

Answer 1

To rewrite the equation \( x = 12 \) in polar form, we can use the relationship between Cartesian coordinates (x, y) and polar coordinates (r, θ):

- \( x = r \cos \theta \)

Substituting \( x = 12 \):

\[
12 = r \cos \theta
\]

Rearranging gives us:

\[
r = \frac{12}{\cos \theta}
\]

This can be expressed as:

\[
r = 12 \sec \theta
\]

Thus, the correct response is:

**r = 12 sec θ**