Trigonometry Examples

$r \cos (θ) = 3$

Step 1

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

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Step 1.1

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

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

Step 1.2

Simplify the left side.

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Step 1.2.1

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

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Step 1.2.1.1

Cancel the common factor.

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

Step 1.2.1.2

Divide $r$ by $1$ .

$r = \frac{3}{\cos (θ)}$

Step 2

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

Not a valid circle