In the complex plane, the rectangular coordinates (x, y) represent a complex number. Which statement explains why polar coordinates (r, θ) represent the same complex number? r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction).
r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction).
r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction).
r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction)

The correct option is;

r = √(x² + y²)

θ = tan⁻¹(y/x)

Step-by-step explanation:

The rectangular coordinate of a complex number on the complex plane is given as (x, y)

Given that the complex number is represented by a point on the plane, we have;

The distance, r, of the point from the origin, (0, 0) is r = √(x² + y²)

The direction, θ, by which we rotate to be in line with the point on the complex number is given by tan⁻¹(y/x)

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.