Question

Please solve this using the standard form, z=x+iy?

Also, what would this look like in the unit circle?

Answer 1

The standard form of a complex number is z = x + iy, where x and y are real numbers and i is the imaginary unit. In the unit circle, a complex number can be represented by a point on the circle.

Step-by-step explanation:

The standard form of a complex number is given by z = x + iy, where x and y are real numbers and i is the imaginary unit (√-1).

In this form, x represents the real part of the complex number and y represents the imaginary part.

In the unit circle, a complex number can be represented by a point on the circle. The angle formed between the positive x-axis and the line connecting the origin to the point represents the argument of the complex number.

For example, if we have the complex number z = 2 + 3i, the real part x is 2 and the imaginary part y is 3. In the unit circle, this complex number would be represented by a point with coordinates (2, 3) and an argument of arctan(3/2).