Question

the polar form of √2 + √2i is ​

Answer 1

Step-by-step explanation:

z = a+bi to polar form

z = r (cosϴ+ i sinϴ)

we have two relations.

1. Modulus: r = √[(a²) + (b²)]

r = √[(√2)² + (√2)²]

= 2

2. Angle formed with the positive x-axis:

ϴ = arctan (b/a)

ϴ= arctan(√2/√2) = 45° since the point is in the second quadrant.

Then;

z = 2 (cos 45° + i sin 45°)