Expressing a Complex Number in Trigonometric or Polar Form, Ex 3

OK, so one last example here of converting a complex number into polar form. So here we’ve got 3 minus i squared (sorry – had a little ink run up there – a little dot). So 3 minus i squared … the first thing I’m going to do here is rewrite this as something a […]

Double Integrals in Polar Coordinates – Example 2

Welcome to a second example of converting a double integral in rectangular form to polar form. As we discussed in a previous video. To convert a double integral in rectangular form to polar form. We have to convert the function f of x, y into a function in terms of r and theta. And differential […]

De Moivre’s Theorem Roots of Polar Complex Numbers

BAM!!! Mr. Tarrou. Ok, we are going to do three examples of using De Moivre’s Theorem for finding complex roots that are in polar form. So, we have z sub k is equals the nth root of r times the cosine of theta plus 2pi k over n plus i times sine theta plus 2pi […]

Ex: Find the Rectangular and Polar Equation of a Circle From a Graph

– WE WANT TO WRITE THE RECTANGULAR AND POLAR EQUATION FOR THE GIVEN GRAPH OF THE CIRCLE. WE’LL WRITE THE RECTANGULAR EQUATION OF THE CIRCLE USING THE STANDARD FORM OF A CIRCLE GIVEN HERE, WHERE THE CENTER OF THE CIRCLE WOULD HAVE THE COORDINATES (H,K) AND R=THE LENGTH OF THE RADIUS OF THE CIRCLE. NOTICE […]

Complex Numbers: Convert From Polar to Complex Form, Ex 1

All right, in this video we’re going to do some examples of going from, basically, our polar form back to our complex form. So a couple examples here… And I think these are certainly a little bit easier to do than putting them into polar form because really all you have to do is just […]