Convert to Polar x=-3

$x = - 3$

Step 1

Since $x = r \cos (θ)$ , replace $x$ with $r \cos (θ)$ .

$r \cos (θ) = - 3$

Step 2

Divide each term in $r \cos (θ) = - 3$ by $\cos (θ)$ and simplify.

Divide each term in $r \cos (θ) = - 3$ by $\cos (θ)$ .

$\frac{r \cos (θ)}{\cos (θ)} = \frac{- 3}{\cos (θ)}$

Simplify the left side.

Cancel the common factor of $\cos (θ)$ .

Cancel the common factor.

$\frac{r \cos (θ)}{\cos (θ)} = \frac{- 3}{\cos (θ)}$

Divide $r$ by $1$ .

$r = \frac{- 3}{\cos (θ)}$

Simplify the right side.

Separate fractions.

$r = \frac{- 3}{1} \cdot \frac{1}{\cos (θ)}$

Convert from $\frac{1}{\cos (θ)}$ to $\sec (θ)$ .

$r = \frac{- 3}{1} \sec (θ)$

Divide $- 3$ by $1$ .

$r = - 3 \sec (θ)$