Complex Number Expression

Question

Write the complex number z=-1+√2i in polar form. Express the argument theta in degrees, with 0°≤theta<360°.

 

Please show step by step work to solution and provide final answer. Please and Thank You!

Answer 1

z = -1 + i√2

 

z = |z|e^iθ

 

|z| = √[(-1)² + (√2)²] = √(1 + 2) = √3

 

θ = tan^-1(√2 / -1) ≅ (180 - 54.74)º = 125.26°