# Tagged Questions

Questions on polar coordinates, a coordinate system where points are represented by their distance from the origin ($r$) and the angle the line joining the point and the origin makes with the positive horizontal axis ($\theta$).

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### Converting coordinates

I am having huge trouble converting between cartesian to polar and to spherical. I need these methods for my limits of integration in most cases but using the formulas never seem to work, I just ...
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### parametric polar equation of a circle

I discovered that Mac's Grapher has a parametric polar mode, i.e. where $r$ and $\theta$ can be specified in terms of a parameter, usually $t$. I am attempting to convert the generic equation for a ...
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### $r = \sin(3\theta)$ Manual graph

What is the thought process behind the second line of the following, namely that the sin of 3 theta equals +/- 1? Thank you. $r = \sin(3\theta)$ $\sin3\theta = +- 1$ $3\theta = (2k+1)\frac{\pi}{2}$...
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### Find the polar equation of the circle with center on the line theta = pi, of radius 1, and passing through the origin. [closed]

Question Find the polar equation of the circle with center on the line theta = pi, of radius 1, and passing through the origin. i set a point (a,pi) on the line and going to this equation a = rsin(...
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### Infinitesimal area element in polar coordinate

We know, that the infinitesimal area element in Cartesian coordinate system is $dy~dx$ and in Polar coordinate system, it is $r~dr~d\theta$. This inifinitesimal area element is calculated by measuring ...
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How can convert this problem $$\int_0^2 \int_x^\sqrt{8-x^2} \left(x^2+y^2\right)^{3/2} dydx$$ I convert limits and funtion to polar cordinates as follows: $$\begin{split} r^2 &= x^2+y^2\... 2answers 24 views ### How to express two variables in two other variables If: A=R\cos x and B=R\sin x Then how can I express R and x in terms of A and B in a rigorous way? Meaning that I take the domain and range in account? I tried:$$\cos x=\frac{A}{R}...
How do I changecomplex numbers, for example $2+3i$ to polar form of $re^{i\theta}$. Thank you for any answers.