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)

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12