MATH 1P11 Lecture 2: MATH 1P11 - Lecture 2 - Polar Form of Complex Numbers

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The polar form of a complex number is another way of representing complex numbers. Parts of a complex number in polar form: and. It"s not unique as we can add/subtract to it to make new arguments. However, arguments that satisfy the following restriction: , the principal arguments. The polar form was developed to enable the multiplication of complex numbers and to show their products neatly. They involve the use of polar coordinates instead of cartesian coordinates. Polar coordinates are coordinates that are made up of angle and distance instead of a horizontal and vertical value like the cartesian coordinates: Algebraic method of calculating the product/quotient of complex numbers. It is another way of representing the a complex number"s vector: We can tell from the positive values for both and upon computing it that this. The multiplication of complex numbers using polar form is much cleaner: vector is in the first quadrant. Graphical method of calculating the product/quotient of complex numbers.