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