For a complex number in polar form with Magnitude, and Angle:
(Magnitude)*(cos(angle) + i*sin(angle)) will give the form: a + bi
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.
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)
"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.
Complex numbers whose polar representation is (r, theta) where 3*pi/2 < theta < 2*pi.
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.
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.
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 + 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.
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)
2sqrt2(cos45 + i * sin45)
"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.
False apex
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.
Magnitude
Complex numbers whose polar representation is (r, theta) where 3*pi/2 < theta < 2*pi.
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.)
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.