# Question #a86e3

##### 2 Answers

#### Explanation:

Let's begin by displaying a graph of the original equation

Multiply both sides of the equation by

Subtract x from both sides:

Substitute

We can divide both sides of the equation by r, because this will discard the trival root

Add

Divide both sides by

Please observe that the graphs are identical. This proves that the conversion has been done properly.

#### Explanation:

Let's start by reminding ourselves on how polar coordinate systems work:

We can describe any point

Now to find the two parameters

As you can see in the diagram above, the

In a right-angled triangle with legs

Therefore,

Now, we just plug it into

In terms of

Therefore the equation is