Math, asked by nailasayyed1233, 1 year ago

1+√3i upon 2 find the modulus and argument?​

Answers

Answered by KrystaCort
1

Answer:

Modulus = 2

Argument = 45°

Step-by-step explanation:

A complex number is written in the form

: z = x + iy.

The modulus of z is

|z| = r =  √(x² + y²)

The argument of z is

arg z = θ = \arctan {\frac{y}{x}}

So, here we have x = 1 , y = √3

∴ Modulus = √1² + 3 = 2

and Argument =  \arctan {\frac{\sqrt{3}}{1}} = 45°

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