Precalculus Examples

$r \cos^{2} (θ) = \sin (θ)$

Divide each term in $r \cos^{2} (θ) = \sin (θ)$ by $\cos^{2} (θ)$ and simplify.

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Divide each term in $r \cos^{2} (θ) = \sin (θ)$ by $\cos^{2} (θ)$ .

$\frac{r \cos^{2} (θ)}{\cos^{2} (θ)} = \frac{\sin (θ)}{\cos^{2} (θ)}$

Simplify the left side.

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Cancel the common factor of $\cos^{2} (θ)$ .

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Cancel the common factor.

$\frac{r \cos^{2} (θ)}{\cos^{2} (θ)} = \frac{\sin (θ)}{\cos^{2} (θ)}$

Divide $r$ by $1$ .

$r = \frac{\sin (θ)}{\cos^{2} (θ)}$

This is an equation of a circle.

Circle