Precalculus Examples

$r \sin (θ) = - 2$

Step 1

Divide each term in $r \sin (θ) = - 2$ by $\sin (θ)$ and simplify.

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Divide each term in $r \sin (θ) = - 2$ by $\sin (θ)$ .

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

Simplify the left side.

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

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Cancel the common factor.

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

Divide $r$ by $1$ .

$r = \frac{- 2}{\sin (θ)}$

Simplify the right side.

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Move the negative in front of the fraction.

$r = - \frac{2}{\sin (θ)}$

Step 2

The radius of a circle can not be less than $0$ .

Not a valid circle