00:03
So we have a polar equation, r equals 2 times cosine of theta, and we want to convert it to a cartesian equation.
00:11
So let's recall that x equals r times cosine of theta.
00:19
So if we divide both sides of this equation by r, we see that x over r is equivalent to cosine of theta.
00:27
So by direct substitution, we have r equals two times, replacing cosine of theta with x over r.
00:34
We can now multiply both sides of our equation by r to obtain r squared equals 2 times x.
00:44
Next, let's recall that r squared is equal to x squared plus y squared.
00:56
So we can replace r squared with x squared plus y squared, still equaling to x.
01:06
And though this is a cartesian equation, we want to now write it in such a way that it is clear in terms of what type of curve this is equaling to this is a cartesian equation...