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Trigonometric Form of Complex Numbers

"A convenient form for numbers in the complex plane, other than rectangular form, is the trigonometric form of complex numbers. The trigonometric form of complex numbers uses the modulus and an angle ...

The Complex Plane

"Imaginary numbers arise frequently in mathematics, but in order to do much with them we need to know more about the complex plane and the rectangular form of complex numbers. The complex plane is a m ...

Graphing Polar Equations

"The most basic method of graphing polar equations is by plotting points and doing a quick sketch. Graphing polar equations is a skill that requires the ability to plot points and sometimes recognize ...

Euler Formula

"One formula that is used frequently to rewrite a complex number is the Euler Formula. The Euler Formula can be used to convert a complex number from exponential form to rectangular form and back. The ...

Rectangular Form to Trigonometric Form

"Both the trigonometric form and the rectangular form are useful ways to describe complex numbers, and so we must understand how to convert from rectangular form to trigonometric form. To convert from ...

DeMoivre's Theorem

"We know how to multiply complex numbers, but raising complex numbers to a high integer power would involve a lot of computation. Fortunately we have DeMoivre's Theorem, which gives us a more simple s ...

Converting Complex Numbers from Trigonometric Form to Rectangular

"Both the trigonometric form and the rectangular form are useful ways to describe complex numbers, and so it is important to understand converting complex numbers from trigonometric form to rectangula ...

Convert Rectangular to Polar Coordinates

"We will often be asked to convert rectangular to polar coordinates, and this conversion will be very important to understand in Calculus. In order to convert rectangular to polar coordinates, we use ...

Polar Rose

Hipervinculo Matemáticas

Polar Rose

"One family of polar curves that we will see frequently when dealing with graphing polar equations and polar symmetry is the polar rose. It is important to be able to recognize the general equation of ...

Complex Roots

"We can use a simple four-step guide to help us find complex roots, or the nth roots of complex numbers. These guidelines simplify for us the process of using DeMoivre's Theorem to find complex roots. ...

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