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For a complex number in polar form with Magnitude, and Angle:

(Magnitude)*(cos(angle) + i*sin(angle)) will give the form: a + bi

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Q: How do you convret polar form of complex number into algebraic form?
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How do you find square root of a complex number?

This is best done if the complex number is in polar coordinates - that is, a distance from the origin, and an angle. Take the square root of the argument (the absolute value) of the complex number; and half the angle.


How do you convert the complex number minus i into polar form?

A COMPLEX NUMBER CAN BE CONVERTED INTO A POLAR FORM LET US TAKE COMPLEX NUMBER BE Z=a+ib a is the real number and b is the imaginary number THEN MOD OF Z IS SQUARE ROOT OF a2+b2 MOD OF Z CAN ALSO BE REPRESENTED BY r . THEN THE MOD AMPLITUDE FORM IS r(cos@Very interesting, but -i is not a complex no. it is a simple (imaginary) no. with no real part.


A complex number is a number of the form a plus bi where?

"a + bi" is a common way to write a complex number. Here, "a" and "b" are real numbers.Another common way to write a complex number is in polar coordinates - basically specifying the distance from zero, and an angle.


How do you convert a complex number from polar form into rectangular form?

If the polar coordinates of a complex number are (r,a) where r is the distance from the origin and a the angle made with the x axis, then the cartesian coordinates of the point are: x = r*cos(a) and y = r*sin(a)


Convert the following complex number into its polar representation: 2 + 2i?

2sqrt2(cos45 + i * sin45)


What complex number is a number of the form a plus bi where?

"a + bi" is a common way to write a complex number. Here, "a" and "b" are real numbers.Another common way to write a complex number is in polar coordinates - basically specifying the distance from zero, and an angle.


True or false: When its argument is restricted to (0,2pi), the polar form of a complex number is not unique?

False apex


What are the parts of a complex number?

A complex number can be thought of as a vector with two components, called the "real part" (usually represented on the horizontal axis), and the "imaginary part" (usually represented on the vertical axis). You can also express the complex number in polar form, that is, with a a length and an angle.


when a complex number z is written in its polar form, z = r (cos(theta) + i * sin(theta)), the nonnegative number r is called the or modulus, or z?

Magnitude


What complex number lies below the real axis and to the right of the imaginary axis?

Complex numbers whose polar representation is (r, theta) where 3*pi/2 < theta < 2*pi.


What is the additive inverse of a complex number?

Just change the sign of both the real part, and the imaginary part. For instance, the additive inverse of:3-4i is: -3+4i (If you have the complex number in polar coordinates, add or subtract pi to the angle.)


How do you convert the complex number 4 to polar form?

This doesn't need much conversion. Since the coefficient of i is zero the number is on the real axis. Since it has zero angle with the axis, the polar co-ordinates stare you in the face : r is 4, theta is 0.