Write as a Function of r r=8cos(theta)

$r = 8 \cos (θ)$

Rewrite the equation as $8 \cos (θ) = r$ .

$8 \cos (θ) = r$

Divide each term in $8 \cos (θ) = r$ by $8$ and simplify.

Divide each term in $8 \cos (θ) = r$ by $8$ .

$\frac{8 \cos (θ)}{8} = \frac{r}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 \cos (θ)}{8} = \frac{r}{8}$

Divide $\cos (θ)$ by $1$ .

$\cos (θ) = \frac{r}{8}$

Take the inverse cosine of both sides of the equation to extract $θ$ from inside the cosine.

$θ = \arccos (\frac{r}{8})$

To rewrite as a function of $r$ , write the equation so that $θ$ is by itself on one side of the equal sign and an expression involving only $r$ is on the other side.

$f (r) = \arccos (\frac{r}{8})$

Write as a Function of r r=8cos(theta)

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