The given Cartesian equation is \(x=y\).

Write the expression for relation between Cartesian and polar equations as follows:

\(x=r\cos\theta\)

\(y=r\sin\theta\)

\(r^{2}=x^{2}+y^{2}\)

\(\tan\theta=\frac{y}{x}\)

asked 2021-09-04

Replace the polar equation with equivalent Cartesian equations. \(x - y = 3\)

asked 2021-08-30

Replace the Cartesian equation with equivalent polar equations. \(xy = 2\)

asked 2021-09-15

Replace the Cartesian equation with equivalent polar equations. \(x = 7\)

asked 2021-09-14

Replace the polar equations with equivalent

Cartesian equations. Then describe or identify the graph. \(\displaystyle{r}^{{{2}}}=-{4}{r}{\cos{\theta}}\)

Cartesian equations. Then describe or identify the graph. \(\displaystyle{r}^{{{2}}}=-{4}{r}{\cos{\theta}}\)

asked 2021-09-07

Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph. \(\displaystyle{r}^{{{2}}}=-{6}{r}{\sin{\theta}}\)

asked 2021-09-03

Find polar equation for the circle. Sketch circle in the coordinate plane and label it with both its Cartesian and polar equations. \(\displaystyle{x}^{{{2}}}+{2}{x}+{y}^{{{2}}}={0}\)

asked 2021-09-05

Write in Cartesian coordinates the parametric equations of the curve with polar equation
\(\displaystyle{r}{\left({t}\right)}={<}\sqrt{{t}},\frac{\pi}{{8}}{>}\).