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What are the uses of polar form of complex numbers in daily life?
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Why can't we add and subtract polar form of complex numbers and multiply and divide the rectangular form of complex number?
You can certainly multiply and divide with the rectangular form, but it is somewhat easier in polar form. This is especially relevant if you want to extend to more complicated operations, such as higher powers or taking roots. As for the polar form, any method to add and subtract them directly would probably be quite complicated, and directly or indirectly involve many of the same calculations that are done in converting from polar to rectangular, and back. Try it! (That is, try to deduce the formulas for adding two complex numbers in polar form.)
How do you convret polar form of complex number into algebraic form?
For a complex number in polar form with Magnitude, and Angle: (Magnitude)*(cos(angle) + i*sin(angle)) will give the form: a + bi
Do the complex numbers for a group under binary operation ' plus '?
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
Multiplication two complex numbers in c?
(a +bi)(c + di) : Use the distributive property and remember i*i = -1. In polar form:|ab| = |ab| and thetaab = thetaa + thetab.
What is the exponential form for complex numbers?
Exponential form is similar to 'polar form'. Call the Magnitude A, and the angle θ .Then the number is represented as A*eiθ (θ in radians). To convert to rectangular form, use Euler's formula:eiθ = cos(θ) + i*sin(θ)So the complex number A*eiθ = A*cos(θ) + A*i*sin(θ)
What mathematician introduced complex numbers?
Gerolamo Cardano is an Italian mathematician who introduced complex numbers. Complex numbers are those that can be expressed in the form of a+bi where a and b represent real numbers.
What are set of complex number?
Complex numbers are numbers of the form (x + yi) where x and y are real numbers and i is the imaginary square root of -1. Any collection of such numbers is a set of complex numbers.
What are imaginary numbers of the form a bi and a-bi?
Those are both 'complex' numbers. Together, they are a pair of complex conjugates.
Can a complex number be imaginary?
Yes, imaginary numbers are a subset of complex numbers.
What are considered complex numbers?
A complex number is any number that can be represented in the form of a+bi, the real numbers are a and b, the imaginary number is i. Complex numbers are used in scientific and engineering fields.
What contains real numbers?
Real numbers form a proper subset of the set of complex numbers.
4-j6 expressed in polar form?
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