Multiply the angle by 2, and square the magnitude. The angle can be rewritten between (-180° & +180°) (or -pi and +pi radians), after multiplying.
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The standard form of a complex number is the cartesian one; a plane with orthogonal axes for real parts and imaginary parts. A complex number has a pair of co-ordinates defining its position on the plane. A trigonometric form is a plane with an origin, and one line from the origin to infinity. A complex number is defined by its distance from the origin and the angle between the datum line and the line joining the number to the origin. It is just like co-ordinate geometry with co-ords r, theta instead of x,y.
31
No. There is no way of expressing it with a fraction. Here is the approximation in decimal form: 3.8729833462074168851792653997824
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.
a + bi. a & b are both real numbers. the number i is the imaginary unit equal to the positive square root of -1.