Go back to the examples on the Polar Form page and try them here in the calculator, and compare the results. You can change the precision of all the calculations by changing the 'Decimal places' option. equirectangular mirror ball polar orthographic cylindrical ellipsoid Mollweide circular 180 full-frame 180 one cube face tiling cube face. You can zoom the graph in or out using the navigation icons at the bottom of the graph, and pan left-right, up-down by holding down the key while dragging the graph. You can also drag point P to change the radius of the circle, and/or the angle to your desired values. Things to doĬhoose whether your angles will be in degrees or radians first.Įnter your values for either radius and angle, or real value and imaginary value and click 'Calculate' to see the equivalent result (or you can press on your keyboard). Example 2: Find a square root of 10 35 leaving the result a) in polar form, b) in rectangular form.

So, for example, let's take the expression in polar form, 12 < 55. This is all based off the fact that the polar form takes on the format, amplitude < phase. Example 1: Perform addition (2 + 3i) + (1 4i) leaving the result a) in polar form and b) in rectangular form. Polar forms of numbers can be converted into their rectangular equivalents by the formula, Rectangular form amplitude cos (phase) + j (amplitude) sin (phase).

Converting a complex number from polar form to rectangular form is a matter of evaluating what is given and using the distributive property. In the following graph, the real axis is horizontal, and the imaginary (`j=sqrt(-1)`) axis is vertical, as usual. There is a better way to write a method to convert from Cartesian to polar coordinates here it is: import numpy as np def polar (x, y) -> tuple: '''returns rho, theta (degrees)''' return np.hypot (x, y), np.degrees (np. It can also convert complex numbers from Cartesian to polar form and vice versa. Converting a Complex Number from Polar to Rectangular Form. There's also a graph which shows you the meaning of what you've found.įor background information on what's going on, and more explanation, see the previous pages,Ĭomplex Numbers and Polar Form of a Complex Number Interactive Graph - Convert polar to rectangular and vice-versa Below is an interactive calculator that allows you to easily convert complex numbers in polar form to rectangular form, and vice-versa. If you just want to be able to call two arrays in rectangular coordinates, while plotting on a polar grid, this will give you what you need.

Flexify polar to rectangular