Question

Find the modulus and the arguments of each of the complex number 1. -root3+i
2.-1+i

Answer 1

Step-by-step explanation:

1) -√3 + i

Modulus = √(x^2 + y^2) = √(3+1) = 2

Argument = arctan(y/x) = arctan(-1/√3)

= 5π/6

2) -1 + i

Modulus = √(x^2 + y^2) = √(1+1) = √2

Argument = arctan(y/x) ,= arctan(-1)

= 3π/4

Thanks,