The polar form of a complex number is a way of expressing it in terms of its magnitude (or modulus) and angle (or argument). For -2^i, the polar form is written as 2e^(iπ/2).
The polar form of a complex number can be calculated using the following formula: r(cosθ + i sinθ), where r is the magnitude of the number and θ is the angle in radians.
The rectangular form of a complex number is written as a + bi, where a and b are real numbers and i is the imaginary unit. In contrast, the polar form is expressed as r(cosθ + i sinθ), where r is the magnitude and θ is the angle.
The angle in the polar form of a complex number is determined by finding the angle between the positive real axis and the line connecting the origin to the complex number in the complex plane. This angle is usually measured in radians.
Yes, negative numbers can also be written in polar form. The magnitude would still be a positive number, and the angle would be 180 degrees (or π radians) more than the angle for the positive number with the same magnitude.